Semester Calendar Date

A Trapped Ion Quantum Simulator for Two-Dimensional Spin System

Abstract: Quantum simulations of complex materials address fundamental problems that cannot be analytically solved due to the exponential scaling of the Hilbert space with increasing particle number. Simulations using trapped ions have had remarkable success investigating one-dimensional quantum interacting spin models, and we seek to extend these ideas to two dimensions by exploiting new crystal geometries in a rf Paul trap.

A Trapped Ion Quantum Simulator for Two-Dimensional Spin System

Abstract: Quantum simulations of complex materials address fundamental problems that cannot be analytically solved due to the exponential scaling of the Hilbert space with increasing particle number. Simulations using trapped ions have had remarkable success investigating one-dimensional quantum interacting spin models, and we seek to extend these ideas to two dimensions by exploiting new crystal geometries in a rf Paul trap.

Subwavelength Spatial Control and Measurement of Cold Atoms via Optical Nonlinearity and a New Experimental Platform for Two-species Atom Tweezer Arrays

Dissertation Committee Chair: Prof. Steven Rolston (co-advisor)
Committee: 
Prof. Trey Porto (co-chair/co-advisor)
Prof. Ian Spielman
Prof. Norbert Linke
Prof. Ronald Walsworth

Probing the 2D SU(N) Fermi-Hubbard Model with ultracold ytterbium

Abstract:  The Fermi-Hubbard model (FHM) describes the interplay between kinetic energy and onsite interaction of particles on a lattice. Cold atoms in an optical lattice have proven to be a particularly suitable platform to probe its properties, complementing analytical and numerical simulations. Most of the experimental works, however, have focussed so far on the SU(2) case, featuring spin-1/2 particles. In our experiment, we implement the SU(N) FHM, which describes particles with N spin components and presents a richer and still poorly understood physics compared with the SU(2) case.

Classify phases and continues phase transitions from categorical symmetry and its condensable algebras

Abstract: We study possible phases and possible continuous phase transitions in systems with a given finite symmetry. We use the corresponding categorical symmetry and its condensable algebras to classify the possible gapped phases and possible gapless critical points, as well as determine the CFT of the critical points in 1+1D.
 
Host: Yu-An Chen
 

Tuning and probing local thermalization of a Floquet-engineered dipolar ensemble

Abstract: We experimentally study the many-body out-of-equilibrium dynamics of a three-dimensional, dipolar-interacting spin system with tunable XYZ Heisenberg anisotropy. We utilize advanced Hamiltonian engineering techniques and leverage the inherent disorder in the system to probe global and local spin autocorrelation functions for various XYZ Hamiltonians.

Large spin atoms in optical lattices

Abstract: Our experimental projects at the Laser Physics Institute (North Paris University) aim at characterizing entanglement for many-body systems made of large spin atoms. For this, we developed two experimental set-ups : one with large-spin strontium fermionic atoms, with spin-independent contact interactions; one with large-spin chromium bosonic atoms, with spin-dependent long-range dipole-dipole interactions.