Topological insulator and particle pumping in a one-dimensional shaken optical lattice

Abstract

We propose a simple method to simulate and detect topological insulators with cold atoms trapped in a one-dimensional bichromatic optical lattice subjected to a time-periodic modulation. The tight-binding form of this shaken system is equivalent to the periodically driven Aubry-Andre model. We demonstrate that this model can be mapped into a two-dimensional Chern insulator model, whose energy spectrum hosts a topological phase within an experimentally accessible parameter regime. By tuning the laser phase adiabatically, such one-dimensional system constitutes a natural platform to realize topological particle pumping. We show that the Chern number characterizing the topological features of this system can be measured by detecting the density shift after one cycle of pumping.

8 pages, 2 figures

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• Floquet analysis of a quantum system with modulated periodic driving
• Fractional charge pumping of interacting bosons in one-dimensional superlattice
• Topological charge pumping by sliding moiré pattern
• Exploring topological double-Weyl semimetals with cold atoms in optical lattices
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Anomalous charge pumping in a one-dimensional optical superlattice
• Simulation and measurement of the fractional particle number in one-dimensional optical lattices
• Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
• Topological Floquet engineering of a 1D optical lattice via resonantly shaking with two harmonic frequencies
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model