APPLIED QUANTUM MECHANICS
Prerequisites: (PHYS GU4021 and PHYS GU4022) In this course, we will learn how the concepts of quantum mechanics are applied to real physical systems, and how they enable novel applications in quantum optics and quantum information. We will start with microscopic, elementary quantum systems – electrons, atoms, and ions - and understand how light interacts with atoms. Equipped with these foundations, we will discuss fundamental quantum applications, such as atomic clocks, laser cooling and ultracold quantum gases - a synthetic form of matter, cooled down to just a sliver above absolute zero temperature. This leads us to manybody quantum systems. We will introduce the quantum physics of insulating and metallic behavior, superfluidity and quantum magnetism – and demonstrate how the corresponding concepts apply both to real condensed matter systems and ultracold quantum gases. The course will conclude with a discussion of the basics of quantum information science - bringing us to the forefront of today’s quantum applications.
-
Instructor:
Sebastian Will
h-index: 18 Info - 3 points
Quantum Physics Laboratory
The “Quantum Physics Lab” will give students in the Quantum Science and Technology Masters program hands-on experience in quantum physics and its applications. Students will work in small groups on several distinct experiments through the semester. Each experimental project might last for 3-4 weeks, comprising the steps outlined in the Program below. Initial experimental offerings include: a quantum optics (entangled photon) platform, a Josephson junction experiment, a nitrogen vacancy (NV) center for direct manipulation of quantum states, along with experiments on nuclear magnetic resonance, quantum conductance and the quantum Hall effect. We expect to add additional experiments in the near future.
Students will observe and measure fundamental quantum behaviors, reinforcing material they are learning in the Masters lecture courses, while simultaneously being introduced to forefront technology that will be the basis of the second “quantum revolution” that could eventually lead to revolutionary applications in electronics, computing, energy technology and medical devices.
Program:
1 x 230 min lab meeting per week (small group work)
Background research on selected experiments, and associated physics and instrumentation
Data analysis, discussions with instructor and teaching assistants
Project writeups and presentations
-
Instructor:
Abhay N Pasupathy
CULPA: 10 Info - 3 points
ASTROPHYSICS I
Prerequisites: a strong undergraduate background in E-M and classical mechanics. Qualified undergraduates may be admitted with the instructors permission. The basic physics of high energy astrophysical phenomena. Protostars, equations of stellar structure; radiative transfer theory; stellar nucleosynthesis; radiative emission processes; equations of state and cooling theory for neutron stars and white dwarfs, Oppenheimer-Volkoff equation; Chandrasekhar limit; shocks and fluids; accretion theory for both disks and hard surfaces; black hole orbits and light bending.
-
Instructor:
Charles J Hailey
CULPA: 42 Wikipedia Info - 3 points
STATISTICAL MECHANICS
Prerequisites: PHYS W4021-W4022-W4023, or their equivalents. Fundamentals of statistical mechanics; theory of ensembles; quantum statistics; imperfect gases; cooperative phenomena.
-
Instructor:
Alfred H Mueller
CULPA: 2 Wikipedia Info - 4.5 points
QUANTUM MECHANICS I
Prerequisites: PHYS W4021-W4022, or their equivalents. The fundamental principles of quantum mechanics; elementary examples; angular momentum and the rotation group; spin and identical particles; isospin; time-independent and time-dependent perturbation theory.
-
Instructor:
Norman H Christ
CULPA: 34 Wikipedia Info - 4.5 points
PARTICLE PHENOMENOLOGY
Prerequisites: PHYS G6037 or the equivalent. The elementary particles and their properties; interactions of charged particles and radiation with matter; accelerators, particle beams, detectors; conservation laws; symmetry principles; strong interactions, resonances, unitary symmetry; electromagnetic interactions; weak interactions; current topics.
-
Instructor:
Mark Ross-Lonergan
Info - 3 points
ATOMIC PHYSICS
Recent progress in control of atoms with lasers has led to creating the coldest matter in the universe, constructing ultra precise time and frequency standards, and capability to test high energy theories with tabletop experiments. This course will cover the essentials of atomic physics including the resonance phenomenon, atoms in magnetic and electric fields, and light-matter interactions. These naturally lead to line shapes and laser spectroscopy, as well as to a variety of topics relevant to modern research such as cooling and trapping of atoms. It is recommended for anyone interested in pursuing research in the vibrant field of atomic, molecular, and optical (AMO) physics, and is open to interested students with a one year background in quantum mechanics. Both graduate students and advanced undergraduates are welcome.
-
Instructor:
Zhenjie Yan
Info - 3 points
ELECTROMAGNETIC THEORY
Prerequisites: PHYS W3008 or its equivalent. Fundamentals of electromagnetism from an advanced perspective with emphasis on electromagnetic fields in vaccum with no bounding surfaces present. A thorough understanding of Maxwells equations and their application to a wide variety of phenomena. Maxwells equations (in vacuum) and the Lorentz force law - noncovariant form. Scalar and vector potentials, gauge transformations. Generalized functions (delta functions and their derivatives), point changes. Fourier transforms, longitutdinal ad transverse vector fields. Solution of Maxwells equations in unbounded space for electrostatics and magnetostatics with given charge and current sources. Special relativity, Loretnz transformations, 4-momentum, relativistic reactions. Index mechanics of Cartesian tensor notation. Covariatn formulation of Maxwells equations and the Lorentz force law, Lorentz transformation properties of E and B. Lagrangian density for the electromagnetic field, Langrangian density for the Proca field. Symmetries and conservation laws, Noethers theorem. Field conservation laws (energy, linear momentum, angular momentum, stress tensor). Monochromatic plane wave solutions of the time-dependent source-free Maxwell equations, elliptical polarization, partially-polarized electromagnetgic waves, Stokes parameters. Solution of the time-dependent Maxwell equations in unbounded space with given chare and current sources (retarded and advanced solutions). Properties of electromagnetic fields in the radiaion zone, angular distribution of radiated power, frequency distribution of radiated energy, radiation form periodic and non-periodic motions. Radiation from antennas and antenna arrays. Lienard-Wiechert fields, the relativistic form of the Larmor radiation forumla, synchrotron radiation, bremsstrahlung, undulator and wiggler radiation. Electric dipole and magnetic dipole radiation. Scattering of electromagnetic radiation, the differential scattering cross-section, low-energy and high-energy approximations, scattering from a random or periodic array of scatterers. Radiation reaction force, Feynman-Wheeler theoryy. The macroscopic Maxwell equations (spatial averaging to get P, M, D, H). Convolutions, linear materials (permittivity, permeability, and conductivity), causality, analytics continuation, Kramers-Kronig relations. Propagation of monochromatic plane waves in isotropic and non-isotropic linear materials, ordinary ad extraordinary waves. Cherenkov radiation, transition radiation.
-
Instructor:
Brian Metzger
CULPA: 5 h-index: 77 Info - 4.5 points
QUANTUM FIELD THEORY II
Prerequisites: PHYS G6037-G6038. Relativistic quantum mechanics and quantum field theory.
-
Instructor:
Frederik Denef
CULPA: 1 h-index: 36 Info - 4.5 points
ADVANCED SCIENTIFIC COMPUTING
-
Instructor:
Robert D Mawhinney
CULPA: 6 h-index: 49 Info - 3 points