Professor Gurarie’s research is focused on studying the emergent properties of the interacting quantum many body systems. These can be electrons in solids or cold atomic gases. Of particular interest are many body systems which form topological states of matter, the states whose collective excitations behave like particles which are fundamentally different from the underlying electrons or atoms. Other interesting states under investigation are interacting topological insulators, the states created in cold atomic gases by the artificial gauge fields, quantum gases in low dimensions and out of equilibrium. Mathematical aspects of the theory of these phenomena are also studied.
keywords
condensed matter physics, theoretical and mathematical physics, quantum many body theory, physics of cold atoms
Teaching
courses taught
PHYS 1010  Physics of Everyday Life 1
Primary Instructor

Fall 2018 / Fall 2019
Intended primarily for nonscientists, this course covers physics encountered in everyday life. Topics include balls, scales, balloons, stoves, insulation, light bulbs, clocks, nuclear weapons, basics of flashlights, and microwave ovens. Department enforced prereq., high school algebra or equivalent. This course should not be taken if the student has a MAPS deficiency in math.
PHYS 1110  General Physics 1
Primary Instructor

Fall 2022
Three lect., one rec. per week, plus three evening exams in the fall and spring semesters. First semester of threesemester sequence for science and engineering students. Covers kinematics, dynamics, momentum of particles and rigid bodies, work and energy, gravitation, simple harmonic motion and introduction to thermodynamics. Degree credit not granted for this course and PHYS 1115.
PHYS 5210  Theoretical Mechanics
Primary Instructor

Fall 2020 / Fall 2021
Variational principles, Lagrange's equations, Hamilton's equations, motion of rigid body, relativistic mechanics, transformation theory, continuum mechanics, small oscillations, HamiltonJacobi theory.
PHYS 7250  Quantum Many Body Theory
Primary Instructor

Spring 2020 / Spring 2022
Theory of quantum many body systems, including methods based on Green's functions, Feynman diagrams, and coherent state path integral with applications to interacting quantum gases, superconductivity and superfluidity, quantum phase transitions, quantum magnetism, quantum motion in the presence of disorder, and topological states of matter.
PHYS 7280  Advanced Quantum Theory
Primary Instructor

Spring 2023
Quantum theory of fields, elementary particles, symmetry laws, and topics of special interest. Recommended prerequisite: PHYS 7270 or instructor consent required.
PHYS 7440  Theory of the Solid State
Primary Instructor

Spring 2019 / Spring 2021
Stresses application to the solid state of physical concepts basic to much of modern physics, singleparticle approximation, and the energyband description of electron states in solids, pseudopotential theory applied to ordered and disordered systems, dynamical behavior of electrons in solids, lattice dynamics, HartreeFock and randomphase approximation in solids, manybody aspects of magnetism, and superconductivity.