Quantum Hall physics in light-matter hybrid systems

In this seminar, I will present and discuss recent results from one of the experimental research lines at Hafezi group: quantum Hall physics in semiconductor microcavities. A 2D charge gas (2DCG) operating in the quantum Hall regime represents one of the few examples of macroscopic quantum behavior. Other examples in this short list are Bose-Einstein condensation and superconductivity. Typically, the experimental study of the quantum Hall effect relies on transport.

Simulating Mesonic Scattering Processes on Trapped-Ion Simulators

Obtaining real-time dynamics of particle collisions is a long-standing goal in high energy and nuclear physics. Developing protocols to simulate lattice gauge theories on quantum simulators offer a strategy to probe these scattering processes. Both long-range and short-range quantum Ising chains exhibit the confinement of quasiparticles, analogous to the high-energy confinement of quarks in bound, meson states. In this talk, we will discuss a proposal to simulate meson scattering in a trapped-ion simulator.

The Riemann Zeta Function, Poincare Recurrence, and Quantum Chaos

The spectral form factor is an important diagnostic of quantum chaos and thermalization. In this talk we will dive into a surprising duality between short time behavior and exponentially late-time behavior, with a cameo from the Riemann zeta function.

(Pizza and refreshments will be served after the talk.)

 

Spin cross-correlation experiments in a Cooper Pair Splitter

Correlations are fundamental in describing many body systems. However, in experiments, correlations are notoriously difficult to assess on the microscopic scale, especially for electron spins. While it is firmly established theoretically that the electrons in a Cooper pair of a superconductor form maximally spin-entangled singlet states with opposite spin projections, no spin correlation experiments have been demonstrated so far.

Fusion category symmetry-protected topological order in the generalized cluster state

Despite growing interest in beyond-group symmetries in quantum condensed matter systems, there are relatively few microscopic lattice models explicitly realizing these symmetries, and many phenomena have yet to be generalized at the microscopic level. In this work, we show that the generalized cluster state introduced in arXiv:1408.6237 is an SPT protected by categorical symmetry.

3+1 D Quantum spin liquid from Rydberg interactions -- a proposal

Quantum Spin Liquids are exotic phases of matter whose low-energy physics is described as the deconfined phase of an emergent gauge theory. With recent theory proposals and an experiment showing preliminary signs of Z2 topological order, arrays of neutral atoms with Rydberg interactions have emerged as a promising platform to realize a spin liquid. In this work, we propose a way to realize the deconfined phase of U(1) gauge theory in 3 spatial dimensions from Rydberg interactions on a pyrochlore lattice.

Exploring one-dimensional Z2 lattice gauge theories

Abstract: Although lattice gauge theories are primarily considered in particle physics, they are also a valuable platform to study strongly correlated quantum systems in condensed-matter physics. Particularly interesting is the study of confinement, which can arise when dynamical charges are coupled to gauge fields. In this talk, I will present our recent work on a one-dimensional Z2 lattice gauge theory (LGT), where dynamical matter is coupled to Z2 gauge field [1].