Simulation of the many-body dynamical quantum Hall effect in an optical lattice
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 1909-1920 |
Journal / Publication | Quantum Information Processing |
Volume | 15 |
Issue number | 5 |
Publication status | Published - 1 May 2016 |
Link(s)
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.
In: Quantum Information Processing, Vol. 15, No. 5, 01.05.2016, p. 1909-1920.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review