Search result: Catalogue data in Spring Semester 2023
Physics Master  
Core Courses One Core Course in Experimental or Theoretical Physics from Physics Bachelor is eligible; however, this Core Course from Physics Bachelor cannot be used to compensate for the mandatory Core Course in Experimental or Theoretical Physics. For the category assignment keep the choice "no category" and take contact with the Study Administration (Link) after having received the credits.  
Core Courses: Theoretical Physics  
Number  Title  Type  ECTS  Hours  Lecturers  

402087100L  Solid State Theory UZH students are not allowed to register this course unit at ETH. They must book the module PHY411 directly at UZH.  W  10 credits  4V + 1U  M. Sigrist  
Abstract  The course is addressed to students in experimental and theoretical condensed matter physics and provides a theoretical introduction to a variety of important concepts used in this field.  
Objective  The course provides a theoretical frame for the understanding of basic pinciples in solid state physics. Such a frame includes the topics of symmetries, band structures, many body interactions, Landau Fermiliquid theory, and specific topics such as transport, Quantum Hall effect and magnetism. The exercises illustrate the various themes in the lecture and help to develop problemsolving skills. The student understands basic concepts in solid state physics and is able to solve simple problems. No diagrammatic tools will be used.  
Content  The course is addressed to students in experimental and theoretical condensed matter physics and provides a theoretical introduction to a variety of important concepts used in this field. The following subjects will be covered: Symmetries and their handling via group theoretical concepts, electronic structure in crystals, insulatorssemiconductorsmetals, phonons, interaction effects, (un)screened Fermiliquids, linear response theory, collective modes, screening, transport in semiconductors and metals, magnetism, Mottinsulators, quantumHall effect.  
Lecture notes  in English  
402084400L  Quantum Field Theory II UZH students are not allowed to register this course unit at ETH. They must book the corresponding module directly at UZH.  W  10 credits  3V + 2U  A. Lazopoulos  
Abstract  The subject of the course is modern applications of quantum field theory with emphasis on the quantization of nonabelian gauge theories.  
Objective  The goal of this course is to lay down the path integral formulation of quantum field theories and in particular to provide a solid basis for the study of nonabelian gauge theories and of the Standard Model  
Content  The following topics will be covered:  path integral quantization  nonabelian gauge theories and their quantization  systematics of renormalization, including BRST symmetries, SlavnovTaylor Identities and the CallanSymanzik equation  the Goldstone theorem and the Higgs mechanism  gauge theories with spontaneous symmetry breaking and their quantization  renormalization of spontaneously broken gauge theories and quantum effective actions  
Literature  M.E. Peskin and D.V. Schroeder, "An introduction to Quantum Field Theory", Perseus (1995). S. Pokorski, "Gauge Field Theories" (2nd Edition), Cambridge Univ. Press (2000) P. Ramond, "Field Theory: A Modern Primer" (2nd Edition), Westview Press (1990) S. Weinberg, "The Quantum Theory of Fields" (Volume 2), CUP (1996).  
402039400L  Theoretical Cosmology  W  10 credits  4V + 2U  L. Senatore  
Abstract  This is the second of a two course series which starts with "General Relativity" and continues in the spring with "Theoretical Astrophysics and Cosmology", where the focus will be on applying general relativity to cosmology as well as developing the modern theory of structure formation in a cold dark matter Universe.  
Objective  Learning the fundamentals of modern physical cosmology. This entails understanding the physical principles behind the description of the homogeneous Universe on large scales in the first part of the course, and moving on to the inhomogeneous Universe model where perturbation theory is used to study the development of structure through gravitational instability in the second part of the course. Modern notions of dark matter and dark energy will also be introduced and discussed.  
Content  The course will cover the following topics:  Homogeneous cosmology  Thermal history of the universe, recombination, baryogenesis and nucleosynthesis  Dark matter and Dark Energy  Inflation  Perturbation theory: Relativistic and Newtonian  Model of structure formation and initial conditions from Inflation  Cosmic microwave background anisotropies  Spherical collapse and galaxy formation  Large scale structure and cosmological probes  
Lecture notes  In 2021, the lectures will be livestreamed online at ETH from the Room HPV G5 at the lecture hours. The recordings will be available at the ETH website. The detailed information will be provided by the course website and the SLACK channel.  
Literature  Suggested textbooks: H.Mo, F. Van den Bosch, S. White: Galaxy Formation and Evolution S. Carroll: SpaceTime and Geometry: An Introduction to General Relativity S. Dodelson: Modern Cosmology Secondary textbooks: S. Weinberg: Gravitation and Cosmology V. Mukhanov: Physical Foundations of Cosmology E. W. Kolb and M. S. Turner: The Early Universe N. Straumann: General relativity with applications to astrophysics A. Liddle and D. Lyth: Cosmological Inflation and Large Scale Structure  
Prerequisites / Notice  Knowledge of General Relativity is recommended.  
Core Courses: Experimental Physics  
Number  Title  Type  ECTS  Hours  Lecturers  
402044801L  Quantum Information Processing I: Concepts This theory part QIP I together with the experimental part 402044802L QIP II (both offered in the Spring Semester) combine to the core course in experimental physics "Quantum Information Processing" (totally 10 ECTS credits). This applies to the Master's degree programme in Physics.  W  5 credits  2V + 1U  J. Home  
Abstract  The course covers the key concepts of quantum information processing, including quantum algorithms which give the quantum computer the power to compute problems outside the reach of any classical supercomputer. Key concepts such as quantum error correction are discussed in detail. They provide fundamental insights into the nature of quantum states and measurements.  
Objective  By the end of the course students are able to explain the basic mathematical formalism of quantum mechanics and apply them to quantum information processing problems. They are able to adapt and apply these concepts and methods to analyse and discuss quantum algorithms and other quantum informationprocessing protocols.  
Content  The topics covered in the course will include quantum circuits, gate decomposition and universal sets of gates, efficiency of quantum circuits, quantum algorithms (Shor, Grover, DeutschJosza,..), quantum error correction, faulttolerant designs, and quantum simulation.  
Lecture notes  Will be provided.  
Literature  Quantum Computation and Quantum Information Michael Nielsen and Isaac Chuang Cambridge University Press  
Prerequisites / Notice  A good understanding of finite dimensional linear algebra is recommended.  
Competencies 
 
402044802L  Quantum Information Processing II: Implementations This experimental part QIP II together with the theory part 402044801L QIP I (both offered in the Spring Semester) combine to the core course in experimental physics "Quantum Information Processing" (totally 10 ECTS credits). This applies to the Master's degree programme in Physics.  W  5 credits  2V + 1U  A. Wallraff, J.‑C. Besse  
Abstract  Introduction to experimental systems for quantum information processing (QIP). Quantum bits. Coherent Control. Measurement. Decoherence. Microscopic and macroscopic quantum systems. Nuclear magnetic resonance (NMR). Photons. Ions and neutral atoms in electromagnetic traps. Charges and spins in quantum dots and NV centers. Charges and flux quanta in superconducting circuits. Novel hybrid systems.  
Objective  Throughout the past 20 years the realm of quantum physics has entered the domain of information technology in more and more prominent ways. Enormous progress in the physical sciences and in engineering and technology has allowed us to build novel types of information processors based on the concepts of quantum physics. In these processors information is stored in the quantum state of physical systems forming quantum bits (qubits). The interaction between qubits is controlled and the resulting states are read out on the level of single quanta in order to process information. Realizing such challenging tasks is believed to allow constructing an information processor much more powerful than a classical computer. This task is taken on by academic labs, startups and major industry. The aim of this class is to give a thorough introduction to physical implementations pursued in current research for realizing quantum information processors. The field of quantum information science is one of the fastest growing and most active domains of research in modern physics.  
Content  Introduction to experimental systems for quantum information processing (QIP).  Quantum bits  Coherent Control  Measurement  Decoherence QIP with  Ions  Superconducting Circuits  Photons  NMR  Rydberg atoms  NVcenters  Quantum dots  
Lecture notes  Course material be made available at Link and on the Moodle platform for the course. More details to follow.  
Literature  Quantum Computation and Quantum Information Michael Nielsen and Isaac Chuang Cambridge University Press  
Prerequisites / Notice  The class will be taught in English language. Basic knowledge of concepts of quantum physics and quantum systems, e.g from courses such as Phyiscs III, Quantum Mechanics I and II or courses on topics such as atomic physics, solid state physics, quantum electronics are considered helpful. More information on this class can be found on the web site Link  
402070200L  Phenomenology of Particle Physics II  W  10 credits  3V + 2U  P. Crivelli, D. Sgalaberna  
Abstract  In PPP II the standard model of particle physics will be developed from the point of view of gauge invariance. The concepts and computational techniques learned during the PPP I course in the context of QED will applied and expanded to the strong and electroweak interactions. The spontaneous symmetry breaking and the Higgs mechanism will also be introduced.  
Objective  The objective of the course is to deepen the knowledge on particle physics the students acquired during their bachelor studies. A clear connection between the theory and the experiments will be given in order to provide a comprehensive modern view of the standard model.  
Content  Hadrons (the strong force, discovery), ep scattering (elastic and deep inelastic), the parton model (the eighfoldway, the quark model, the evidence of color), Quantum Chromodynamics (QCD), Running of alpha strong, asymptotic freedom, hadronization, experimental tests of QCD, heavy quarks, hadron spectroscopy, neutrinos and the three lepton families, weak interaction and parity violation, weak and neutral charge currents, GIM mechanism, lepton universality, gauge field theories and spontaneous symmetry breaking, the electroweak theory, the BroutEnglertHiggs mechanism, computations and experimental tests of the electroweak theory, neutrinonucleon interactions, the Standard Model, flavor oscillations and CP violation  
Competencies 
 
402026400L  Astrophysics II  W  10 credits  3V + 2U  A. Refregier  
Abstract  The course examines various topics in astrophysics with an emphasis on physical processes occurring in an expanding Universe, from a time about 1 microsecond after the Big Bang, to the formation of galaxies and supermassive black holes within the next billion years.  
Objective  The course examines various topics in astrophysics with an emphasis on physical processes occurring in an expanding Universe. These include the RobertsonWalker metric, the Friedmann models, the thermal history of the Universe including Big Bang Nucleosynthesis, and introduction to Inflation, and the growth of structure through gravitational instability. Finally, the physics of the formation of cosmic structures, dark matter halos and galaxies is reviewed.  
Prerequisites / Notice  Prior completion of Astrophysics I is recommended but not required.  
402026500L  Astrophysics III  W  10 credits  3V + 2U  H. M. Schmid  
Abstract  Astrophysics III is a course in Galactic Astrophysics. It introduces the concepts of stellar populations, stellar dynamics, interstellar medium (ISM), and star formation for understanding the physics and phenomenology of the different components of the Milky Way galaxy.  
Objective  The course should provide basic knowledge for research projects in the field of star formation and interstellar matter. A strong emphasis is put on radiation processes and the determination of physical parameters from observations.  
Content  Astrophysics III: Galactic Astrophysics  components of the Milky Way: stars, ISM, dark matter,  dynamics of the Milky Way and of different subcomponents,  the physics of the interstellar medium,  star formation and feedback, and  the Milky Way origin and evolution.  
Lecture notes  A lecture script will be distributed.  
Prerequisites / Notice  Astrophysics I is recommended but not required.  
Electives  
Electives: Physics and Mathematics  
Selection: Solid State Physics  
Number  Title  Type  ECTS  Hours  Lecturers  
402053600L  Ferromagnetism: From Thin Films to Spintronics Does not take place this semester. Special Students UZH must book the module PHY434 directly at UZH.  W  6 credits  3G  to be announced  
Abstract  This course extends the introductory course "Introduction to Magnetism" to the latest, modern topics in research in magnetism and spintronics. After a short revisit of the basic magnetism concepts, emphasis is put on novel phenomena in (ultra)thin films and small magnetic structures, displaying effects not encountered in bulk magnetism.  
Objective  Knowing the most important concepts and applications of ferromagnetism, in particular on the nanoscale (thin films, small structures). Being able to read and understand scientific articles at the front of research in this area. Learn to know how and why magnetic storage, sensors, memories and logic concepts function. Learn to condense and present the results of a research articles so that colleagues understand.  
Content  Magnetization curves, magnetic domains, magnetic anisotropy; novel effects in ultrathin magnetic films and multilayers: interlayer exchange, spin transport; magnetization dynamics, spin precession. Applications: Magnetic data storage, magnetic memories, spinbased electronics, also called spintronics.  
Lecture notes  Lecture notes will be handed out (in English).  
Prerequisites / Notice  This course can be easily followed also without having attended the "Introduction to Magnetism" course. Language: English.  
402031800L  Semiconductor Materials: Characterization, Processing and Devices  W  6 credits  2V + 1U  S. Schön, W. Wegscheider  
Abstract  This course gives an introduction into the fundamentals of semiconductor materials. The main focus in this semester is on stateoftheart characterization, semiconductor processing and devices.  
Objective  Basic knowledge of semiconductor physics and technology. Application of this knowledge for stateoftheart semiconductor device processing  
Content  1. Material characterization: structural and chemical methods 1.1 Xray diffraction methods (Powder diffraction, HRXRD, XRR, RSM) 1.2 Electron microscopy Methods (SEM, EDX, TEM, STEM, EELS) 1.3 SIMS, RBS 2. Material characterization: electronic methods 2.1 van der Pauw techniquel2.2 Floating zone method 2.2 Hall effect 2.3 Cyclotron resonance spectroscopy 2.4. Quantum Hall effect 3. Material characterization: Optical methods 3.1 Absorption methods 3.2 Photoluminescence methods 3.3 FTIR, Raman spectroscopy 4. Semiconductor processing: lithography 4.1 Optical lithography methods 4.2 Electron beam lithography 4.3 FIB lithography 4.4 Scanning probe lithography 4.5 Direct growth methods (CEO, Nanowires) 5. Semiconductor processing: structuring of layers and devices 5.1 Wet etching methods 5.2 Dry etching methods (RIE, ICP, ion milling) 5.3 Physical vapor depositon methods (thermal, ebeam, sputtering) 5.4 Chemical vapor Deposition methods (PECVD, LPCVD, ALD) 5.5 Cleanroom basics & tour 6. Semiconductor devices 6.1 Semiconductor lasers 6.2 LED & detectors 6.3 Solar cells 6.4 Transistors (FET, HBT, HEMT)  
Lecture notes  Link  
Prerequisites / Notice  The "compulsory performance element" of this lecture is a short presentation of a research paper complementing the lecture topics. Several topics and corresponding papers will be offered on the moodle page of this lecture.  
Competencies 
 
402059600L  The Physics of Quantum Dot Qubits  W  6 credits  2V + 1U  T. M. Ihn  
Abstract  The lecture discusses the basic physics concepts of quantum dot charge and spin qubits from the experimental viewpoint. Among them are the Coulomb and Spin blockade, qubit manipulation techniques including elements of circuit QED, relaxation and decoherence mechanisms as well as qubit readout techniques.  
Objective  Students are able to understand modern experiments in the field of quantum dot qubits. They can critically reflect published research in this field and explain it to an audience of physicists. Students know and understand the fundamental phenomena related to qubit manipulation as well as decoherence and their significance. They are able to apply their knowledge to practical experiments in a modern research lab.  
Content  1. Coulomb blockade and Constant Interaction Model, Excited State Spectroscopy 2. Rate equation model of state occupation and transport, resonant tunneling and cotunneling 3. States in double quantum dots 4. Transport in double quantum dots 5. Charge qubit, Charge Noise and Phonon Relaxation 6. Spin States, Spin Blockade 7. SingletTriplet Qubit, Hyperfine Interaction 8. Charge detection, T1time measurement 9. Spinorbit interaction 10. AC excitation, Rabi oscillations 11. LandauZenerTunneling, LandauZener Interference 12. Types of T2times and their measurement 13. QubitPhoton Coupling, Elements of Circuit QED 14. Qubit Implementations in Different Materials  
Lecture notes  Parts of the lecture are based on the book: T. Ihn, Semiconductor Nanostructures: Quantum States and Electronic Transport, ISBN 9780199534425, Oxford University Press, 2010.  
Prerequisites / Notice  A solid basis in quantum mechanics, electrostatics, quantum statistics and in solid state physics is required. Having passed the lecture Semiconductor Nanostructures (fall semester) may be advantageous, but is not required. Students of the Master in Micro and Nanosystems should at least have attended the lecture by David Norris, Introduction to quantum mechanics for engineers. They should also have passed the exam of the lecture Semiconductor Nanostructures.  
402052812L  Ultrafast Methods in Solid State Physics  W  6 credits  2V + 1U  S. Johnson, Y. Deng, M. Savoini  
Abstract  In condensed matter physics, “ultrafast” refers to dynamics on the picosecond and femtosecond time scales, the time scales where atoms vibrate and electronic spins flip. Measuring realtime dynamics on these time scales is key to understanding materials in nonequilibrium states. This course offers an overview and understanding of the methods used to accomplish this in modern research laboratories.  
Objective  The goal of the course is to enable students to identify and evaluate experimental methods to manipulate and measure the electronic, magnetic and structural properties of solids on the fastest possible time scales. This offers new fundamental insights on the couplings that bind solidstate systems together. It also opens the door to new technological applications in data storage and processing involving metastable states that can be reached only by driving systems far from equilibrium. This course offers an overview of ultrafast methods as applied to condensed matter physics. Students will learn which methods are appropriate for studying relevant scientific questions, and will be able to describe their relative advantages and limitations.  
Content  The topical course outline is as follows: Chapter 1: Introduction  Important time scales for dynamics in solids and their applications  Timedomain versus frequencydomain experiments  The pumpprobe technique: general advantages and limits Chapter 2: Overview of ultrafast processes in solids  Carrier dynamics in response to ultrafast laser interactions  Dynamics of the lattice: coherent vs. incoherent phonons  Ultrafast magnetic phenomena Chapter 3: Ultrafast opticalfrequency methods  Ultrafast laser sources (oscillators and amplifiers)  Generating broadband pulses  Second and third order harmonic generation  Optical parametric amplification  Fluorescence spectroscopy  Advanced optical pumpprobe techniques Chapter 4: THz and midinfrared frequency methods  Low frequency interactions with solids  Difference frequency mixing  Optical rectification  Timedomain spectroscopy Chapter 5: VUV and xray frequency methods  Synchrotron based sources  Free electron lasers  Highharmonic generation  Xray diffraction  Timeresolved Xray microscopy & coherent imaging  Timeresolved corelevel spectroscopies Chapter 6: Timeresolved electron methods  Ultrafast electron diffraction  Timeresolved electron microscopy  
Lecture notes  Will be distributed via moodle.  
Literature  Will be distributed via moodle.  
Prerequisites / Notice  Although the course "Ultrafast Processes in Solids" (402052600L) is useful as a companion to this course, it is not a prerequisite.  
Competencies 
 
402053200L  Quantum Solid State Magnetism Does not take place this semester.  W  6 credits  2V + 1U  
Abstract  This course is based on the principal modern tools used to study collective magnetic phenomena in the Solid State, namely correlation and response functions. It is quite quantitative, but doesn't contain any "fancy" mathematics. Instead, the theoretical aspects are balanced by numerous experimental examples and case studies. It is aimed at theorists and experimentalists alike.  
Objective  Learn the modern theoretical foundations and "language", as well as principles and capabilities of the latest experimental techniques, used to describe and study collective magnetic phenomena in the Solid State.  
Content   Magnetic response and correlation functions. Analytic properties. Fluctuationdissipation theorem. Experimental methods to measure static and dynamic correlations.  Magnetic response and correlations in metals. Diamagnetism and paramagnetism. Magnetic ground states: ferromagnetism, spin density waves. Excitations in metals, spin waves. Experimental examples.  Magnetic response and correlations of magnetic ions in crystals: quantum numbers and effective Hamiltonians. Application of group theory to classifying ionic states. Experimental case studies.  Magnetic response and correlations in magnetic insulators. Effective Hamiltonians. Magnetic order and propagation vector formalism. The use of group theory to classify magnetic structures. Determination of magnetic structures from diffraction data. Excitations: spin wave theory and beyond. "Triplons". Measuring spin wave spectra.  
Lecture notes  A comprehensive textbooklike script is provided.  
Literature  In principle, the script is suffient as study material. Additional reading: "Magnetism in Condensed Matter" by S. Blundell "Quantum Theory of Magnetism: Magnetic properties of Materials" by R. M. White "Lecture notes on Electron Correlations and Magnetism" by P. Fazekas  
Prerequisites / Notice  Prerequisite: 402086100L Statistical Physics 402050100L Solid State Physics Not prerequisite, but a good companion course: 402087100L Solid State Theory 402025700L Advanced Solid State Physics 402053500L Introduction to Magnetism  
327213000L  Introducing Photons, Neutrons and Muons for Materials Characterisation  W  2 credits  3G  A. Hrabec  
Abstract  The course takes place at the campus of the Paul Scherrer Institute. The program consists of introductory lectures on the use of photons, neutrons and muons for materials characterization, as well as tours of the large scale facilities of PSI.  
Objective  The aim of the course is that the students acquire a basic understanding on the interaction of photons, neutrons and muons with matter and how one can use these as tools to solve specific problems.  
Content  The course runs for one week in June (19th to 23rd). It takes place at the campus of the Paul Scherrer Institute. The morning consists of introductory lectures on the use of photons, neutrons and muons for materials characterization. In the afternoon tours of the large scale facilities of PSI (Swiss Light Source, Swiss Spallation Neutron Source, Swiss Muon Source, Swiss Free Electron Laser), are foreseen, as well as indepth visits to some of the instruments. At the end of the week, the students are required to give an oral presentation about a scientific topic involving the techniques discussed. Time for the presentation preparations will be allocated in the afternoon. • Interaction of photons, neutrons and muons with matter • Production of photons, neutrons and muons • Experimental setups: optics and detectors • Crystal symmetry, Bragg’s law, reciprocal lattice, structure factors • Elastic and inelastic scattering with neutrons and photons • Xray absorption spectroscopy, xray magnetic circular dichroism • Polarized neutron scattering for the study of magnetic materials • Imaging techniques using xrays and neutrons • Introduction to muon spin rotation • Applications of muon spin rotation  
Lecture notes  Slides from the lectures will be available on the internet prior to the lectures.  
Literature  • Philip Willmott: An Introduction to Synchrotron Radiation: Techniques and Applications, Wiley, 2011 • J. AlsNielsen and D. McMorrow: Elements of Modern XRay Physics, Wiley, 2011. • G.L. Squires, Introduction to the Theory of Thermal Neutron Scattering, Dover Publications (1997). • Muon Spin Rotation, Relaxation, and Resonance, Applications to Condensed Matter" Alain Yaouanc and Pierre Dalmas de Réotier, Oxford University Press, ISBN: 9780199596478 • “Physics with Muons: from Atomic Physics to Condensed Matter Physics”, A. Amato Link  
Prerequisites / Notice  This is a block course for students who have attended courses on condensed matter or materials physics. Registration at PSI website (Link) required by March 19, 2023.  
402053300L  Quantum Acoustics and Optomechanics Does not take place this semester.  W  6 credits  2V + 1U  Y. Chu  
Abstract  This course gives an introduction to the interaction of mechanical motion with electromagnetic fields in the quantum regime. There are parallels between the quantum descriptions of mechanical resonators, electrical circuits, and light, but each system also has its own unique properties. We will explore how interfacing them can be useful for technological applications and fundamental science.  
Objective  The course aims to prepare students for performing theoretical and/or experimental research in the fields of quantum acoustics and optomechanics. For example, after this course, students should be able to:  understand and explain current research literature in quantum acoustics and optomechanics  predict and simulate the behavior of mechanical quantum systems using tools such as the QuTiP package in Python  apply concepts discussed in the class toward designing devices and experiments  
Content  The focus of this course will be on the properties of and interactions between mechanical and electromagnetic systems in the context of quantum information and technologies. We will only briefly touch upon precision measurement and sensing with optomechanics since it is the topic of another course (227065300L). Some topics that will be covered are:  Mechanical motion and acoustics in solid state materials  Quantum description of motion, electrical circuits, and light.  Different models for quantum interactions: optomechanical, JaynesCummings, etc.  Mechanisms for mechanical coupling to electromagnetic fields: piezoelectricity, electrostriction, radiation pressure, etc.  Coherent interactions vs. dissipative processes: phenomenon and applications in different regimes.  Stateof the art electromechanical and optomechanical systems.  
Lecture notes  Notes will be provided for each lecture.  
Literature  Parts of books and research papers will be used.  
Prerequisites / Notice  Basic knowledge of quantum mechanics is required.  
Competencies 
 
402053250L  Quantum Solid State Magnetism II  W  6 credits  2V + 1U  M. Zhu  
Abstract  This course covers the modern developments and problems in the field of solid state magnetism. It has the special emphasis on the phenomena that go beyond semiclassical approximation, such as quantum paramagnets, spin liquids and magnetic frustration. The course is aimed at both the experimentalists and theorists, and the theoretical concepts are balanced by the experimental data.  
Objective  Learn the modern approach to the complex magnetic phases of matter and the transitions between them. A number of theoretical approaches that go beyond the linear spin wave theory will be discussed during the course, and an overview of the experimental status quo will be given.  
Content   Phase transitions in the magnetic matter. Classical and quantum criticality. Consequences of broken symmetries for the spectral properties. Absence of order in the lowdimensional systems. BerezinskiiKosterlitzThouless transition and its relevance to “layered” magnets.  Failures of linear spin wave theory. Spin wave decays. Antiferromagnets as bosonic systems. Gapped “quantum paramagnets” and their phase diagrams. Extended spin wave theory. Magnetic “BoseEinstein condensation”.  Spin systems in one dimension: XY, Ising and Heisenberg model. LiebSchultzMattis theorem. TomonagaLuttinger liquid description of the XXZ spin chains. Spin ladders and Haldane chains. Critical points in one dimension and generalized phase diagram.  Effects of disorder in magnets. Harris criterion. “Spin islands” in depleted gapped magnets.  Introduction into magnetic frustration. Orderfromdisorder phenomena and triangular lattice in the magnetic field. Frustrated chain and frustrated square lattice models. Exotic magnetic states in two dimensions.  
Lecture notes  A comprehensive textbooklike script is provided.  
Literature  In principle, the script is sufficient as study material. Additional reading: "Interacting Electrons and Quantum Magnetism" by A. Auerbach "Basic Aspects of The Quantum Theory of Solids " by D. Khomskii "Quantum Physics in One Dimension" by T. Giamarchi "Quantum Theory of Magnetism: Magnetic properties of Materials" by R. M. White "Frustrated Spin Systems" ed. H. T. Diep  
Prerequisites / Notice  Prerequisite: 402086100L Statistical Physics 402050100L Solid State Physics Not prerequisite, but a good companion course: 402087100L Solid State Theory 402025700L Advanced Solid State Physics 402053500L Introduction to Magnetism 402053200L Quantum Solid State Magnetism I  
Selection: Quantum Electronics  
Number  Title  Type  ECTS  Hours  Lecturers  
402049800L  TrappedIon Quantum Physics  W  6 credits  2V + 1U  D. Kienzler  
Abstract  This course covers the physics of trapped ions at the quantum level described as harmonic oscillators coupled to spin systems, for which the 2012 Nobel prize was awarded. Trappedion systems have achieved an extraordinary level of control and provide leading technologies for quantum information processing and quantum metrology.  
Objective  The objective is to provide a basis for understanding the wide range of research currently being performed with trapped ion systems: fundamental quantum mechanics with spinspring systems, quantum information processing and quantum metrology. During the course students would expect to gain an understanding of the current frontier of research in these areas, and the challenges which must be overcome to make further advances. This should provide a solid background for tackling recently published research in these fields, including experimental realisations of quantum information processing using trapped ions.  
Content  This course will cover trappedion physics. It aims to cover both theoretical and experimental aspects. In all experimental settings the role of decoherence and the quantumclassical transition is of great importance, and this will therefore form one of the key components of the course. The topics of the course were cited in the Nobel prize which was awarded to David Wineland in 2012. Topics which will be covered include:  Fundamental working principles of ion traps and modern trap geometries, quantum description of motion of trapped ions  Electronic structure of atomic ions, manipulation of the electronic state, Rabi and Ramseytechniques, principle of an atomic clock  Quantum description of the coupling of electronic and motional degrees of freedom  Laser cooling  Quantum state engineering of coherent, squeezed, cat, grid and entangled states  Trapped ion quantum information processing basics and scaling, current challenges  Quantum metrology with trapped ions: quantum logic spectroscopy, optical clocks, search for physics beyond the standard model using highprecision spectroscopy  
Literature  S. Haroche and JM. Raimond "Exploring the Quantum" (recommended) M. Scully and M.S. Zubairy, Quantum Optics (recommended)  
Prerequisites / Notice  The preceding attendance of the scheduled lecture Quantum Optics (402044200L) or a comparable course is required.  
402055800L  Crystal Optics in Intense Light Fields  W  6 credits  2V + 1U  M. Fiebig  
Abstract  Because of their aesthetic nature crystals are termed "flowers of mineral kingdom". The aesthetic aspect is closely related to the symmetry of the crystals which in turn determines their optical properties. It is the purpose of this course to stimulate the understanding of these relations with a particular focus on those phenomena occurring in intense light fields as they are provided by lasers.  
Objective  In this course students will at first acquire a systematic knowledge of classical crystaloptical phenomena and the experimental and theoretical tools to describe them. This will be the basis for the core part of the lecture in which they will learn how to characterize ferroelectric, (anti)ferromagnetic and other forms of ferroic order and their interaction by nonlinear optical techniques. See also Link.  
Content  Crystal classes and their symmetry; basic group theory; optical properties in the absence and presence of external forces; focus on magnetooptical phenomena; densitymatrix formalism of lightmatter interaction; microscopy of linear and nonlinear optical susceptibilities; second harmonic generation (SHG); characterization of ferroic order by SHG; outlook towards other nonlinear optical effects: devices, ultrafast processes, etc.  
Lecture notes  Extensive material will be provided throughout the lecture.  
Literature  (1) R. R. Birss, Symmetry and Magnetism, NorthHolland (1966) (2) R. E. Newnham: Properties of Materials: Anisotropy, Symmetry, Structure, Oxford University (2005) (3) A. K. Zvezdin, V. A. Kotov: Modern Magnetooptics & Magnetooptical Materials, Taylor/Francis (1997) (4) Y. R. Shen: The Principles of Nonlinear Optics, Wiley (2002) (5) K. H. Bennemann: Nonlinear Optics in Metals, Oxford University (1999)  
Prerequisites / Notice  Basic knowledge in solid state physics and quantum (perturbation) theory will be very useful. The lecture is addressed to students in physics and students in materials science with an affinity to physics.  
402046615L  Quantum Optics with Photonic Crystals, Plasmonics and Metamaterials  W  6 credits  2V + 1U  G. Scalari, J. Faist  
Abstract  In this lecture, we would like to review new developments in the emerging topic of quantum optics in very strongly confined structures, with an emphasis on sources and photon statistics as well as the coupling between optical and mechanical degrees of freedom.  
Objective  Integration and miniaturisation have strongly characterised fundamental research and industrial applications in the last decades, both for photonics and electronics. The objective of this lecture is to provide insight into the most recent solidstate implementations of strong lightmatter interaction, from micro and nano cavities to nano lasers and quantum optics. The content of the lecture focuses on the achievement of extremely subwavelength radiation confinement in electronic and optical resonators. Such resonant structures are then functionalized by integrating active elements to achieve devices with extremely reduced dimensions and exceptional performances. Plasmonic lasers, Purcell emitters are discussed as well as ultrastrong light matter coupling and optomechanical systems.  
Content  1. Light confinement 1.1. Photonic crystals 1.1.1. Band structure 1.1.2. Slow light and cavities 1.2. Plasmonics 1.2.1. Light confinement in metallic structures 1.2.2. Metal optics and waveguides 1.2.3. Graphene plasmonics 1.3. Metamaterials 1.3.1. Electric and magnetic response at optical frequencies 1.3.2. Negative index, cloacking, lefthandness 2. Light coupling in cavities 2.1. Strong coupling 2.1.1. Polariton formation 2.1.2. Strong and ultrastrong coupling 2.2. Strong coupling in microcavities 2.2.1. Planar cavities, polariton condensation 2.3. Polariton dots 2.3.1. Microcavities 2.3.2. Photonic crystals 2.3.3. Metamaterialbased 3. Photon generation and statistics 3.1. Purcell emitters 3.1.1. Single photon sources 3.1.2. THz emitters 3.2. Microlasers 3.2.1. Plasmonic lasers: where is the limit? 3.2.2. g(1) and g(2) of microlasers 3.3. Optomecanics 3.3.1. Micro ring cavities 3.3.2. Photonic crystals 3.3.3. Superconducting resonators  
402048400L  Experimental and Theoretical Aspects of Quantum Gases  W  6 credits  2V + 1U  T. U. Donner  
Abstract  Quantum Gases are the most precisely controlled manybody systems in physics. This provides a unique interface between theory and experiment, which allows addressing fundamental concepts and longstanding questions. This course lays the foundation for the understanding of current research in this vibrant field.  
Objective  The lecture conveys a basic understanding for the current research on quantum gases. Emphasis will be put on the connection between theory and experimental observation. It will enable students to read and understand publications in this field. Part of the course are also presentations by the students on recent literature.  
Content  Cooling and trapping of neutral atoms Bose and Fermi gases Ultracold collisions The Bosecondensed state Elementary excitations Vortices Superfluidity Supersolidity Interference and Correlations Optical lattices Manybody cavity QED  
Lecture notes  notes and material accompanying the lecture will be provided  
Literature  C. J. Pethick and H. Smith, BoseEinstein condensation in dilute Gases, Cambridge. Proceedings of the Enrico Fermi International School of Physics, Vol. CXL, ed. M. Inguscio, S. Stringari, and C.E. Wieman (IOS Press, Amsterdam, 1999).  
Competencies 

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