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

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

  • Dan-Wei Zhang
  • Xu-Chen Yang

Detail(s)

Original languageEnglish
Pages (from-to)1909-1920
Journal / PublicationQuantum Information Processing
Volume15
Issue number5
Publication statusPublished - 1 May 2016

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.

Research Area(s)

  • Berry curvature, Cold atoms, Quantum Hall effect, Quantum simulation

Citation Format(s)

Simulation of the many-body dynamical quantum Hall effect in an optical lattice. / Zhang, Dan-Wei; Yang, Xu-Chen.
In: Quantum Information Processing, Vol. 15, No. 5, 01.05.2016, p. 1909-1920.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review