PHYSICS 210:
Advanced Mechanics (PHYSICS 110)
Lagrangian and Hamiltonian mechanics. Principle of least action, EulerLagrange equations. Small oscillations and beyond. Symmetries, canonical transformations, HamiltonJacobi theory, actionangle variables. Introduction to classical field theory. Selected other topics, including nonlinear dynamical systems, attractors, chaotic motion. Undergraduates register for Physics 110 (4 units). Graduates register for Physics 210 (3 units). Prerequisites: MATH 131P or PHYSICS 111, and PHYSICS 112 or MATH elective 104 or higher. Recommended prerequisite: PHYSICS 130.
Terms: Aut

Units: 34

Grading: Letter or Credit/No Credit
PHYSICS 211:
Continuum Mechanics
Elasticity, fluids, turbulence, waves, gas dynamics, shocks, and MHD plasmas. Examples from everyday phenomena, geophysics, and astrophysics.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 212:
Statistical Mechanics
Principles, ensembles, statistical equilibrium. Thermodynamic functions, ideal and nearideal gases. Fluctuations. Meanfield description of phasetransitions and associated critical exponents. Onedimensional Ising model and other exact solutions. Renormalization and scaling relations. Prerequisites: PHYSICS 131, 171, or equivalents.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 216:
Back of the Envelope Physics
Techniques such as scaling and dimensional analysis, useful to make orderofmagnitude estimates of physical effects in different settings. Goals are to promote a synthesis of physics through solving problems, including problems that are not usually thought of as physics. Applications include properties of materials, fluid mechanics, geophysics, astrophysics, and cosmology. Prerequisites: undergraduate mechanics, statistical mechanics, electricity and magnetism, and quantum mechanics.
Terms: Aut

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 220:
Classical Electrodynamics
Special relativity: The principles of relativity, Lorentz transformations, four vectors and tensors, relativistic mechanics and the principle of least action. Lagrangian formulation, charges in electromagnetic fields, gauge invariance, the electromagnetic field tensor, covariant equations of electrodynamics and mechanics, fourcurrent and continuity equation. Noether's theorem and conservation laws, Poynting's theorem, stressenergy tensor. Constant electromagnetic fields: conductors and dielectrics, magnetic media, electric and magnetic forces, and energy. Electromagnetic waves: Plane and monochromatic waves, spectral resolution, polarization, electromagnetic properties of matter, dispersion relations, wave guides and cavities. Prerequisites: PHYSICS 121 and PHYSICS 210, or equivalent; MATH 106 or MATH 116, and MATH 132 or equivalent.
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 230:
Graduate Quantum Mechanics I
Fundamental concepts. Introduction to Hilbert spaces and Dirac's notation. Postulates applied to simple systems, including those with periodic structure. Symmetry operations and gauge transformation. The path integral formulation of quantum statistical mechanics. Problems related to measurement theory. The quantum theory of angular momenta and central potential problems. Prerequisite: PHYSICS 131 or equivalent.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 231:
Graduate Quantum Mechanics II
Basis for higher level courses on atomic solid state and particle physics. Problems related to measurement theory and introduction to quantum computing. Approximation methods for timeindependent and timedependent perturbations. Semiclassical and quantum theory of radiation, second quantization of radiation and matter fields. Systems of identical particles and many electron atoms and molecules. Prerequisite: PHYSICS 230.
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 234:
Advanced Topics in Quantum Mechanics (PHYSICS 134)
Scattering theory, partial wave expansion, Born approximation. Additional topics may include nature of quantum measurement, EPR paradox, Bell's inequality, and topics in quantum information science; path integrals and applications; Berry's phase; structure of multielectron atoms (HartreeFock); relativistic quantum mechanics (Dirac equation). Undergraduates register for PHYSICS 134 (4 units). Graduate students register for PHYSICS 234 (3 units). Prerequisite: PHYSICS 131.
Terms: Aut

Units: 34

Grading: Letter or Credit/No Credit
PHYSICS 240:
Introduction to the Physics of Energy
Energy as a consumable. Forms and interconvertability. World Joule budget. Equivalents in rivers, oil pipelines and nuclear weapons. Quantum mechanics of fire, batteries and fuel cells. Hydrocarbon and hydrogen synthesis. Fundamental limits to mechanical, electrical and magnetic strengths of materials. Flywheels, capacitors and high pressure tanks. Principles of AC and DC power transmission. Impossibility of pure electricity storage. Surge and peaking. Solar constant. Photovoltaic and thermal solar conversion. Physical limits on agriculture.
Terms: Aut

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 241:
Introduction to Nuclear Energy
Radioactivity. Elementary nuclear processes. Energetics of fission and fusion. Crosssections and resonances. Fissionable and fertile isotopes. Neutron budgets. Light water, heavy water and graphite reactors. World nuclear energy production. World reserves of uranium and thorium. Plutonium, reprocessing and proliferation. Half lives of fission decay products and actinides made by neutron capture. Nuclear waste. Three Mile Island and Chernobyl. Molten sodium breeders. GenerationIV reactors. Inertial confinement and magnetic fusion. Laser compression. Fast neutron production and fissionfusion hybrids. Prerequisities: Strong undergraduate background in elementary chemistry and physics. PHYSICS 240 and PHYSICS 252 recommended but not required. Interested undergraduates encouraged to enroll, with permission of instructor.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 252:
Introduction to Particle Physics I (PHYSICS 152)
Elementary particles and the fundamental forces. Quarks and leptons. The mediators of the electromagnetic, weak and strong interactions. Interaction of particles with matter; particle acceleration, and detection techniques. Symmetries and conservation laws. Bound states. Decay rates. Cross sections. Feynman diagrams. Introduction to Feynman integrals. The Dirac equation. Feynman rules for quantum electrodynamics and for chromodynamics. Undergraduates register for PHYSICS 152. Graduate students register for PHYSICS 252. (Graduate students will be required to complete additional assignments in a format determined by the instructor.) Prerequisite: PHYSICS 130. Pre or corequisite: PHYSICS 131.
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 260:
Introduction to Stellar and Galactic Astrophysics (PHYSICS 160)
Observed characteristics of stars and the Milky Way galaxy. Physical processes in stars and matter under extreme conditions. Structure and evolution of stars from birth to death. White dwarfs, planetary nebulae, supernovae, neutron stars, pulsars, binary stars, xray stars, and black holes. Galactic structure, interstellar medium, molecular clouds, HI and HII regions, star formation, and element abundances. Undergraduates register for PHYSICS 160. Graduate students register for PHYSICS 260. (Graduate students will be required to complete additional assignments in a format determined by the instructor.) Prerequisite: PHYSICS 121.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 261:
Introduction to Cosmology and Extragalactic Astrophysics (PHYSICS 161)
What do we know about the physical origins, content, and evolution of the Universe  and how do we know it? Students learn how cosmological distances and times, and the geometry and expansion of space, are described and measured. Composition of the Universe. Origin of matter and the elements. Observational evidence for dark matter and dark energy. Thermal history of the Universe, from inflation to the present. Emergence of largescale structure from quantum perturbations in the early Universe. Astrophysical tools used to learn about the Universe. Big open questions in cosmology. Undergraduates register for Physics 161. Graduates register for Physics 261. (Graduate students will be required to complete additional assignments in a format determined by the instructor.) Prerequisite: PHYSICS 121 or equivalent.
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 262:
General Relativity
Einstein's General Theory of Relativity is a basis for modern ideas of fundamental physics, including string theory, as well as for studies of cosmology and astrophysics. The course begins with an overview of special relativity, and the description of gravity as arising from curved space. From Riemannian geometry and the geodesic equations, to curvature, the energymomentum tensor, and the Einstein field equations. Applications of General Relativity: topics may include experimental tests of General Relativity and the weakfield limit, black holes (Schwarzschild, charged ReissnerNordstrom, and rotating Kerr black holes), gravitational waves (including detection methods), and an introduction to cosmology (including cosmic microwave background radiation, dark energy, and experimental probes). Prerequisite: PHYSICS 121 or equivalent including special relativity.
Terms: Aut

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 266:
Statistical Methods in Experimental Physics (PHYSICS 166)
Statistical methods constitute a fundamental tool for the analysis and interpretation of experimental physics data. In this course, students will learn the foundations of statistical data analysis methods and how to apply them to the analysis of experimental data. Problem sets will include datasets from real experiments and require the use of programming tools to extract physics results. Topics include probability and statistics, experimental uncertainties, parameter estimation, confidence limits, and hypothesis testing. Students will be required to complete a final project.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 268:
Physics with Neutrinos
Relativistic fermions, Weyl and Dirac equations, Majorana masses. Electroweak theory, neutrino cross sections, neutrino refraction in matter, MSW effect. Threeflavor oscillations, chargeparity violation, searches for sterile neutrinos, modern long and shortbaseline oscillation experiments. Seesaw mechanism, models of neutrino masses, lepton flavor violation. Neutrinoless double beta decay. Cosmological constraints on neutrino properties. Advanced topics, such as collective oscillations in supernovae or ultrahigh energy neutrinos, offered as optional projects. The material in this course is largely complementary to PHYS 269, focusing on particle physics aspects of neutrinos. Prerequisites: PHYSICS 121, 131 and 171 or equivalent. PHYS 230231, 269, 152 and 161 or equivalent are helpful, but not required.
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 269:
Neutrinos in Astrophysics and Cosmology
Basic neutrino properties. Flavor evolution in vacuum and in matter. Oscillations of atmospheric, reactor and beam neutrinos. Measurements of solar neutrinos; physics of levelcrossing and the resolution of the solar neutrino problem. Roles of neutrinos in stellar evolution; bounds from stellar cooling. Neutrinos and stellar collapse; energy transport, collective flavor oscillations, neutrino flavor in turbulent medium. Ultrahighenergy neutrinos. The cosmic neutrino background, its impact on the cosmic microwave background and structure formation; cosmological bounds on the neutrino sector. Prerequisites/corerequisites: PHYSICS 121, 131 and 171 or equivalent. PHYS 230231, 152 and 161 or equivalent are helpful, but not required. May be repeat for credit
Terms: not given this year

Units: 3

Repeatable for credit

Grading: Letter or Credit/No Credit
PHYSICS 275:
Electrons in Nanostructures
The strange behavior of electrons in metals or semiconductors at length scales below 1 micron, smaller than familiar macroscopic objects but larger than atoms. Ballistic transport, Coulomb blockade, localization, quantum mechanical interference, persistent currents, graphene, topological insulators, 1D wires. After a few background lectures, students come to each class session prepared to discuss one or more classic review articles or recent experimental publications.nPrerequisite: undergraduate quantum mechanics and solid state physics preferred; physicists, engineers, chemists welcome.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 282:
Introduction to Modern Atomic Physics and Quantum Optics (APPPHYS 282, PHYSICS 182)
Introduction to modern atomic physics, including laser cooling and trapping, collisions, ultracold and quantum gases, optical lattices, entanglement, and ion trap quantum gates. Introduction to quantum optical theory of light and atomphoton interactions, including cavity QED, quantum trajectory theory, nonlinear optics, and fundamentals of laser spectroscopy including frequency combs. Prerequisites: PHYSICS 131 or 134.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 290:
Research Activities at Stanford
Required of firstyear Physics graduate students; suggested for junior or senior Physics majors for 1 unit. Review of research activities in the department and elsewhere at Stanford at a level suitable for entering graduate students.
Terms: Aut

Units: 1

Grading: Satisfactory/No Credit
PHYSICS 291:
Practical Training
Opportunity for practical training in industrial labs. Arranged by student with the research adviser's approval. A brief summary of activities is required, approved by the research adviser.
Terms: Aut, Win, Spr, Sum

Units: 13

Grading: Satisfactory/No Credit
Instructors: ;
Blandford, R. (PI);
Cabrera, B. (PI);
Fan, S. (PI);
GoldhaberGordon, D. (PI);
Harris, J. (PI);
Howe, R. (PI);
Huang, Z. (PI);
Huberman, B. (PI);
Kallosh, R. (PI);
Kivelson, S. (PI);
Manoharan, H. (PI);
Mao, W. (PI);
Quake, S. (PI);
Susskind, L. (PI);
Wong, H. (PI)
PHYSICS 293:
Literature of Physics
Study of the literature of any special topic. Preparation, presentation of reports. If taken under the supervision of a faculty member outside the department, approval of the Physics chair required. Prerequisites: 25 units of college physics, consent of instructor.
Terms: Aut, Win, Spr, Sum

Units: 115

Repeatable for credit

Grading: Letter or Credit/No Credit
PHYSICS 294:
Teaching of Physics Seminar
Weekly seminar/discussions on interactive techniques for teaching physics. Practicum which includes class observations, grading and student teaching in current courses. Required of all Teaching Assistants prior to first teaching assignment. Mandatory attendance at weekly inclass sessions during first 5 weeks of the quarter; mandatory successful completion of all practicum activities. Enrollment by permission. To get a permission number please complete form: http://web.stanford.edu/dept/physics/academics/TA/PH294fallapp.fb If you have not heard from us by the beginning of class, please come to the first class session.
Terms: Aut, Win

Units: 1

Grading: Satisfactory/No Credit
PHYSICS 295:
Learning & Teaching of Science (EDUC 280, ENGR 295)
This course will provide students with a basic knowledge of the relevant research in cognitive psychology and science education and the ability to apply that knowledge to enhance their ability to learn and teach science, particularly at the undergraduate level. Course will involve readings, discussion, and application of the ideas through creation of learning activities. It is suitable for advanced undergraduates and graduate students with some science background.
Terms: not given this year

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 301:
Astrophysics Laboratory
Designed for physics graduate students but open to all graduate students with a calculusbased physics background and some laboratory and coding experience. Students make and analyze observations using the telescopes at the Stanford Student Observatory. Topics covered include navigating the night sky, the physics of stars and galaxies, telescope instrumentation and operation, imaging and spectroscopic techniques, quantitative error analysis, and effective scientific communication. The course concludes with an independent project where student teams propose and execute an observational astronomy project of their choosing, using techniques learned in class to gather and analyze their data, and presenting their findings in the forms of professionalstyle oral presentations and research papers. Enrollment by permission. To get a permission number please complete form: http://web.stanford.edu/~elva/physics301prelim.fbn If you have not heard from us by the beginning of class, please come to the first class session.
Terms: not given this year

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 312:
Basic Plasma Physics
For the nonspecialist who needs a working knowledge of plasma physics for space science, astrophysics, fusion, or laser applications. Topics: orbit theory, the Boltzmann equation, fluid equations, magneto hydrodynamics (MHD) waves and instabilities, electromagnetic (EM) waves, the Vlasov theory of electrostatic (ES) waves and instabilities including Landau damping and quasilinear theory, the FokkerPlanck equation, and relaxation processes. Advanced topics in resistive instabilities and particle acceleration. Prerequisite: PHYSICS 220, or consent of instructor.
Terms: not given this year

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 321:
Laser Spectroscopy
Theoretical concepts and experimental techniques. Absorption, dispersion, KramersKronig relations, lineshapes. Classical and laser linear spectroscopy. Semiclassical theory of laser atom interaction: timedependent perturbation theory, density matrix, optical Bloch equations, coherent pulse propagation, multiphoton transitions. Highresolution nonlinear laser spectroscopy: saturation spectroscopy, polarization spectroscopy, twophoton and multiphoton spectroscopy, optical Ramsey spectroscopy. Phase conjugation. Fourwave mixing, harmonic generation. Coherent Raman spectroscopy, quantum beats, ultrasensitive detection. Prerequisite: PHYSICS 230. Recommended: PHYSICS 231.
Terms: not given this year

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 330:
Quantum Field Theory I
Lorentz Invariance. SMatrix. Quantization of scalar and Dirac fields. Feynman diagrams. Quantum electrodynamics. Elementary electrodynamic processes: Compton scattering; e+e annihilation. Loop diagrams. Prerequisites: PHYSICS 130, PHYSICS 131, or equivalents AND a basic knowledge of Group Theory.
Terms: Aut

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 331:
Quantum Field Theory II
Functional integral methods. Local gauge invariance and YangMills fields. Asymptotic freedom. Spontaneous symmetry breaking and the Higgs mechanism. Unified models of weak and electromagnetic interactions. Prerequisite: PHYSICS 330.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 332:
Quantum Field Theory III
Theory of renormalization. The renormalization group and applications to the theory of phase transitions. Renormalization of YangMills theories. Applications of the renormalization group of quantum chromodynamics. Perturbation theory anomalies. Applications to particle phenomenology. Prerequisite: PHYSICS 331.
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 351:
Standard Model of Particle Physics
Symmetries, group theory, gauge invariance, Lagrangian of the Standard Model, flavor group, flavorchanging neutral currents, CKM quark mixing matrix, GIM mechanism, rare processes, neutrino masses, seesaw mechanism, QCD confinement and chiral symmetry breaking, instantons, strong CP problem, QCD axion. Prerequisite: PHYSICS 330.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 360:
Modern Astrophysics
Basic theory of production of radiation in stars, galaxies and diffuse interstellar and intergalactic media and and transfer of radiation throughout the universe. Magnetic fields, turbulence shocks and particle acceleration and transport around magnetospheres of planets to clusters of galaxies. Application to compact objects, pulsars and accretion in binary stars and supermassive black holes, supernova remnants, cosmic rays and active galactic nuclei Prerequisite: PHYSICS 260 or equivalent.
Terms: not given this year

Units: 3

Repeatable for credit

Grading: Letter or Credit/No Credit
PHYSICS 361:
Cosmology
A comprehensive exposition of the standard model of cosmology, connecting a fundamental physics description to contemporary and proposed observations. Geometry, kinematics, dynamics, and current contents of the Universe at large. History of the universe as it expanded in size by a factor of a trillion, including nucleosynthesis, recombination, and reionization. Evolution of perturbations that eventually grow to form large scale structure, and the influence of this structure on observations of the microwave background and galaxies. Introduction to modern cosmological probes including techniques to measure the expansion history and the growth of structure. The course will conclude with a focused discussion of cosmic inflation, the nature and origin of matter, and the cosmological constant. Recommended prerequisites: PHYSICS 261 or equivalent.
Terms: not given this year

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 362:
Advanced Extragalactic Astrophysics and Cosmology
Observational data on the content and activities of galaxies, the content of the Universe, cosmic microwave background radiation, gravitational lensing, and dark matter. Models of the origin, structure, and evolution of the Universe based on the theory of general relativity. Test of the models and the nature of dark matter and dark energy. Physics of the early Universe, inflation, baryosynthesis, nucleosynthesis, and galaxy formation. Prerequisites: PHYSICS 210, PHYSICS 211, and PHYSICS 260 or PHYSICS 360.
Terms: not given this year

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 364:
Advanced Gravitation
Classical and quantum gravity in Antide Sitter spacetime (AdS). History and uses of AdS. Basic classical physics of AdS: metric, conformal structure, common coordinate systems. Black holes in AdS: thermodynamics, HawkingPage transition. Classical fields in AdS: action of conformal group, singletons. Stability of AdS and positive energy theorems. Towards the holographic correspondence: geodesics and the UVIR relation. AdS from supergravity. Recommended: PHYSICS 330, some familiarity with general relativity.
Terms: not given this year

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 366:
Special Topics in Astrophysics: Statistical Methods
Existing and emerging statistical techniques and their application to astronomical surveys and cosmological data analysis. Topics covered will include statistical frameworks (Bayesian inference and frequentist statistics), numerical methods including Markov Chain Monte Carlo, and machine learning applied to classification and regression. Hands on activities based on opensource software in python.
Terms: Spr

Units: 2

Grading: Letter or Credit/No Credit
PHYSICS 367:
Special Topics in Astrophysics: HighEnergy Astrophysics
Terms: Spr

Units: 2

Grading: Letter or Credit/No Credit
PHYSICS 368:
Computational Cosmology and Astrophysics
Create virtual Universes and understand our own using your computer. Techniques for studying the dynamics of dark matter and gas as it assembles over cosmic time to form the structure in the Universe. The use of modern computer codes on supercomputers to combine modeling of gravitation, gas dynamics, radiation processes, magnetohydrodynamics, and other relevant physical processes to make detailed predictions about the evolution of the Universe. Practical exercises to explore how cosmic microwave background observations are sensitive to cosmological parameters, how key numerical algorithms work, how different cosmological observations can be combined to constrain what the Universe is made of and how it changed over time. Additional current topics in computational cosmology depending on student interest. Handson activities based on opensource software in C++ and Python. Pre or corequisites: PHYSICS 361. Recommended prerequisite: PHYSICS 366.
Terms: not given this year

Units: 2

Grading: Letter or Credit/No Credit
PHYSICS 372:
Condensed Matter Theory I
Fermi liquid theory, manybody perturbation theory, response function, functional integrals, interaction of electrons with impurities. Prerequisite: APPPHYS 273 or equivalent.
Terms: not given next year

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 373:
Condensed Matter Theory II
Superfluidity and superconductivity. Quantum magnetism. Prerequisite: PHYSICS 372.
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
PHYSICS 450:
Advanced Theoretical Physics I: String Theory with Applications to Cosmology and Black Hole Physics
String theory provides a strong candidate for quantum gravity as well as contributing insights into many areas of physics. The class will start by evaluating the need for an extension of general relativity and quantum field theory, and assess the circumstances under which it becomes relevant (or `dangerously irrelevant' in the renormalization group sense). We will develop the basic tools for perturbative calculations and study their implications at short and long distances and in nontrivial spacetime geometries and topologies. The course will survey nonperturbative objects, dualities, compactification, and the structure of cosmological backgrounds of string theory, discussing their implications for early universe models and for the problem of upgrading holographic duality to cosmology.
Terms: given next year

Units: 3

Repeatable for credit

Grading: Letter or Credit/No Credit
PHYSICS 451:
Advanced Theoretical Physics II: Quantum Information Theory, Complexity, Gravity and Black Holes
This course will cover the developing intersection between quantum information theory and the quantum theory of gravity. We will focus on the central roles of entanglement and computational complexity in black hole physics. Prerequisites: Basic knowledge of quantum mechanics, quantum field theory, and general relativity.
Terms: Aut

Units: 3

Repeatable for credit

Grading: Letter or Credit/No Credit
PHYSICS 470:
Topics in Modern Condensed Matter Theory I: Topological States of Matter
A brief introduction to integer quantum Hall effect. SuSchriefferHeeger model and onedimensional topological insulators. Topological band theory of timereversal invariant topological insulators. Various approaches of determining the topological invariant from the bulk and the boundary. An overview of key experiments. Topological superconductivity. Topological response theory. A brief summary of more recent developments on interacting topological insulators/symmetry protected topological states. Prerequisite: PHYSICS 172/APPPHYS 272 or equivalent; knowledge on second quantization; knowledge on path integral.May be repeat for credit
Terms: Win

Units: 3

Repeatable for credit

Grading: Letter or Credit/No Credit
PHYSICS 471:
Topics in Modern Condensed Matter Theory II: Physics of the Quantum Hall Regime
Integer quantum Hall effect, Fractional quantum Hall effect, Laughlin's theory, Hierarchy states, Effective theories, topological order in the fractional quantum Hall effect, physics of the halffilled Landau level, quantum Hall plateau transitions. May be repeat for credit.
Terms: Spr

Units: 3

Repeatable for credit

Grading: Letter or Credit/No Credit
PHYSICS 490:
Research
Open only to Physics graduate students, with consent of instructor. Work is in experimental or theoretical problems in research, as distinguished from independent study of a nonresearch character in 190 and 293.
Terms: Aut, Win, Spr, Sum

Units: 118

Repeatable for credit

Grading: Satisfactory/No Credit
Instructors: ;
Abel, T. (PI);
Akerib, D. (PI);
Allen, S. (PI);
Altman, R. (PI);
Baer, T. (PI);
Batzoglou, S. (PI);
Beasley, M. (PI);
Bejerano, G. (PI);
Bhattacharya, J. (PI);
Blandford, R. (PI);
Block, S. (PI);
Bloom, E. (PI);
Boahen, K. (PI);
Boneh, D. (PI);
Boxer, S. (PI);
Breidenbach, M. (PI);
Brodsky, S. (PI);
Bucksbaum, P. (PI);
Burchat, P. (PI);
Burke, D. (PI);
Bustamante, C. (PI);
Byer, R. (PI);
Cabrera, B. (PI);
Chao, A. (PI);
Chatterjee, S. (PI);
Chichilnisky, E. (PI);
Chu, S. (PI);
Church, S. (PI);
Dai, H. (PI);
Das, R. (PI);
Devereaux, T. (PI);
Dimopoulos, S. (PI);
Dixon, L. (PI);
Doniach, S. (PI);
Drell, P. (PI);
Dror, R. (PI);
Druckmann, S. (PI);
Dunne, M. (PI);
Ermon, S. (PI);
Fan, S. (PI);
Fejer, M. (PI);
Feldman, B. (PI);
Fetter, A. (PI);
Fisher, G. (PI);
Fisher, I. (PI);
Fox, J. (PI);
Friedland, A. (PI);
Funk, S. (PI);
Gaffney, K. (PI);
Ganguli, S. (PI);
Glenzer, S. (PI);
Glover, G. (PI);
GoldhaberGordon, D. (PI);
Gorinevsky, D. (PI);
Graham, P. (PI);
Gratta, G. (PI);
Graves, E. (PI);
Harbury, P. (PI);
Harris, J. (PI);
Hartnoll, S. (PI);
Hastings, J. (PI);
Hayden, P. (PI);
Heinz, T. (PI);
Hewett, J. (PI);
Himel, T. (PI);
Hogan, J. (PI);
Hollberg, L. (PI);
Holmes, S. (PI);
Huang, Z. (PI);
Huberman, B. (PI);
Hwang, H. (PI);
Inan, U. (PI);
Irwin, K. (PI);
Jaros, J. (PI);
Jones, B. (PI);
Kachru, S. (PI);
Kahn, S. (PI);
Kallosh, R. (PI);
Kamae, T. (PI);
Kapitulnik, A. (PI);
Kasevich, M. (PI);
Kivelson, S. (PI);
Kosovichev, A. (PI);
Kundaje, A. (PI);
Kuo, C. (PI);
Laughlin, R. (PI);
Leith, D. (PI);
Lev, B. (PI);
Levin, C. (PI);
Levitt, M. (PI);
Linde, A. (PI);
Lipa, J. (PI);
Luth, V. (PI);
Mabuchi, H. (PI);
Macintosh, B. (PI);
Madejski, G. (PI);
Manoharan, H. (PI);
Mao, W. (PI);
Markland, T. (PI);
Melosh, N. (PI);
Michelson, P. (PI);
Moerner, W. (PI);
Moler, K. (PI);
Nishi, Y. (PI);
Osheroff, D. (PI);
Palanker, D. (PI);
Pande, V. (PI);
Papanicolaou, G. (PI);
Partridge, R. (PI);
Pelc, N. (PI);
Perl, M. (PI);
Peskin, M. (PI);
Petrosian, V. (PI);
Pianetta, P. (PI);
Poon, A. (PI);
Prinz, F. (PI);
Qi, X. (PI);
Quake, S. (PI);
Raghu, S. (PI);
Raubenheimer, T. (PI);
Reed, E. (PI);
Reis, D. (PI);
Romani, R. (PI);
Roodman, A. (PI);
Rowson, P. (PI);
Ruth, R. (PI);
Scherrer, P. (PI);
Schindler, R. (PI);
SchleierSmith, M. (PI);
Schnitzer, M. (PI);
Schuster, P. (PI);
Schwartzman, A. (PI);
Senatore, L. (PI);
Shen, Z. (PI);
Shenker, S. (PI);
Shutt, T. (PI);
Sidford, A. (PI);
Silverstein, E. (PI);
Smith, T. (PI);
Spakowitz, A. (PI);
Spudich, J. (PI);
Stohr, J. (PI);
Su, D. (PI);
Susskind, L. (PI);
Suzuki, Y. (PI);
Tantawi, S. (PI);
Thomas, S. (PI);
Tompkins, L. (PI);
Vuckovic, J. (PI);
Vuletic, V. (PI);
Wacker, J. (PI);
Wagoner, R. (PI);
Wechsler, R. (PI);
Wein, L. (PI);
Weis, W. (PI);
Wieman, C. (PI);
Wojcicki, S. (PI);
Wong, H. (PI);
Wootters, M. (PI);
Yamamoto, Y. (PI);
Yamins, D. (PI);
Zhang, S. (PI);
Kanagawa, K. (GP)
PHYSICS 491:
Symmetry and Quantum Information
This course gives an introduction to quantum information theory through the study of symmetries. We start with Bell's and Tsirelson's inequalities, which bound the strength of classical and quantum correlations, and discuss their relation to algebraic symmetries. Next, we exploit permutation symmetry to quantify the monogamy of entanglement and explain how to securely distribute a secret key. Lastly, we study quantum information in the limit of many copies and discuss a powerful technique for constructing universal quantum protocols, based on the SchurWeyl duality between the unitary and symmetric groups. Applications include quantum data compression, state estimation, and entanglement distillation. Prerequisite: PHYSICS 230 or equivalent. All required group and representation theory will be introduced. This course runs for the first five weeks of the quarter.
Terms: not given this year

Units: 2

Grading: Letter or Credit/No Credit
PHYSICS 492:
Topological Quantum Computation
This course will be an introduction to topological quantum computation (TQC), which has recently emerged as an exciting approach to constructing faulttolerant quantum computers. We start with a review of some basics of quantum computing, 2D topological phases of matter, Abelian/nonAbelian anyons, etc. Then we introduce the concept of TQC and study some examples such as the toric/surface code and LevinWen stringnet model. We continue to talk about the mathematical theory of anyons including modular tensor categories, braid groups, 6jsymbols, Pentagon Equations. We study the issue of universality for different systems. Lastly, we show the equivalence of TQC with standard circuit model. Additional topics include complexity classes, Jones polynomials, topological field theories, etc. Prerequisite: Basic knowledge of quantum mechanics and condensed matter physics. Some knowledge of category theory and representation theory is useful but is not required. The course will run the first five weeks.
Terms: not given this year

Units: 2

Grading: Credit/No Credit
Terms: Aut, Win, Spr, Sum

Units: 0

Repeatable for credit

Grading: TGR
PHYSICS 802:
TGR Dissertation
Terms: Aut, Win, Spr, Sum

Units: 0

Repeatable for credit

Grading: TGR
Instructors: ;
Abel, T. (PI);
Allen, S. (PI);
Baer, T. (PI);
Beasley, M. (PI);
Bhattacharya, J. (PI);
Blandford, R. (PI);
Block, S. (PI);
Bloom, E. (PI);
Breidenbach, M. (PI);
Brodsky, S. (PI);
Bucksbaum, P. (PI);
Burchat, P. (PI);
Burke, D. (PI);
Bustamante, C. (PI);
Cabrera, B. (PI);
Chao, A. (PI);
Chichilnisky, E. (PI);
Chu, S. (PI);
Church, S. (PI);
Dai, H. (PI);
Devereaux, T. (PI);
Dimopoulos, S. (PI);
Dixon, L. (PI);
Doniach, S. (PI);
Drell, P. (PI);
Druckmann, S. (PI);
Fan, S. (PI);
Fisher, I. (PI);
Funk, S. (PI);
Gaffney, K. (PI);
Glover, G. (PI);
GoldhaberGordon, D. (PI);
Gorinevsky, D. (PI);
Graham, P. (PI);
Gratta, G. (PI);
Graves, E. (PI);
GrillSpector, K. (PI);
Harris, J. (PI);
Hartnoll, S. (PI);
Hayden, P. (PI);
Hewett, J. (PI);
Hogan, J. (PI);
Huang, Z. (PI);
Hwang, H. (PI);
Inan, U. (PI);
Irwin, K. (PI);
Jaros, J. (PI);
Jones, B. (PI);
Kachru, S. (PI);
Kahn, S. (PI);
Kallosh, R. (PI);
Kamae, T. (PI);
Kapitulnik, A. (PI);
Kasevich, M. (PI);
Kivelson, S. (PI);
Kundaje, A. (PI);
Kuo, C. (PI);
Laughlin, R. (PI);
Leith, D. (PI);
Lev, B. (PI);
Levitt, M. (PI);
Linde, A. (PI);
Luth, V. (PI);
Mabuchi, H. (PI);
Macintosh, B. (PI);
Madejski, G. (PI);
Manoharan, H. (PI);
Mao, W. (PI);
Michelson, P. (PI);
Moerner, W. (PI);
Moler, K. (PI);
Osheroff, D. (PI);
Palanker, D. (PI);
Peskin, M. (PI);
Petrosian, V. (PI);
Pianetta, P. (PI);
Prinz, F. (PI);
Qi, X. (PI);
Quake, S. (PI);
Raghu, S. (PI);
Raubenheimer, T. (PI);
Reed, E. (PI);
Romani, R. (PI);
Roodman, A. (PI);
Ruth, R. (PI);
Scherrer, P. (PI);
Schindler, R. (PI);
SchleierSmith, M. (PI);
Schnitzer, M. (PI);
Schwartzman, A. (PI);
Senatore, L. (PI);
Shen, Z. (PI);
Shenker, S. (PI);
Shutt, T. (PI);
Silverstein, E. (PI);
Smith, T. (PI);
Spakowitz, A. (PI);
Spudich, J. (PI);
Stohr, J. (PI);
Su, D. (PI);
Susskind, L. (PI);
Suzuki, Y. (PI);
Tompkins, L. (PI);
Vuletic, V. (PI);
Wacker, J. (PI);
Wechsler, R. (PI);
Wieman, C. (PI);
Wojcicki, S. (PI);
Wong, H. (PI);
Yamamoto, Y. (PI);
Zhang, S. (PI)