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- Title
Simulation of the many-body dynamical quantum Hall effect in an optical lattice.
- Authors
Zhang, Dan-Wei; Yang, Xu-Chen
- 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.
- Subjects
QUANTUM Hall effect; QUANTUM theory; ELECTRIC currents; OPTICAL lattices; HAMILTONIAN systems
- Publication
Quantum Information Processing, 2016, Vol 15, Issue 5, p1909
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-016-1252-9