Simulation of the many-body dynamical quantum Hall effect in an optical lattice

TL;DR

This paper proposes an experimental scheme using ultra-cold atoms in optical lattices to simulate and observe the many-body dynamical quantum Hall effect, highlighting quantized Berry curvature responses during parameter ramps.

Contribution

It introduces a feasible method to realize and detect the many-body dynamical quantum Hall effect in cold-atom systems, including numerical validation.

Findings

Quantized Berry curvature plateaus observed during parameter ramping.

Topological transition characterized by interaction-induced effects.

Feasible experimental setup for observing the effect in cold-atom systems.

Abstract

We propose an experimental scheme to simulate the many-body dynamical quantum Hall effect with ultra-cold bosonic atoms in a one-dimensional optical lattice. We first show that the required model Hamiltonian of a spin-1/2 Heisenberg chain with an effective magnetic field and tunable parameters can be realized in this system. For dynamical response to ramping the external fields, the quantized plateaus emerge in the Berry curvature of the interacting atomic spin chain as a function of the effective spin-exchange interaction. The quantization of this response in the parameter space with the interaction-induced topological transition characterizes the many-body dynamical quantum Hall effect. Furthermore, we demonstrate that this phenomenon can be observed in practical cold-atom experiments with numerical simulations.