Abstract
We investigate, within Floquet theory, topological phases in the out-of-equilibrium system that consists of fermions in a circularly shaken honeycomb optical lattice. We concentrate on the intermediate regime, in which the shaking frequency is of the same order of magnitude as the band width, such that adjacent Floquet bands start to overlap, creating a hierarchy of band inversions. It is shown that two-phonon resonances provide a topological phase that can be described within the Bernevig–Hughes–Zhang model of HgTe quantum wells. This allows for an understanding of out-of-equilibrium topological phases in terms of simple band inversions, similar to equilibrium systems.
Highlights
Ultracold atom setups provide experimentalists with a highly tunable framework that can be used to simulate quantum systems (Lewenstein et al 2007, Bloch et al 2008)
We have investigated fermions in a circularly shaken honeycomb optical lattice in the intermediate regime, where the shaking frequency is on the order of the bandwidth w » 3J
The system is characterised by a substantial overlap between the Floquet side bands, and a series of band inversions can be created that generally host topological edge states
Summary
Content from this work Abstract may be used under the We investigate, within Floquet theory, topological phases in the out-of-equilibrium system that terms of the Creative Commons Attribution 3.0 consists of fermions in a circularly shaken honeycomb optical lattice. It is attribution to the author(s) and the title of shown that two-phonon resonances provide a topological phase that can be described within the the work, journal citation Bernevig–Hughes–Zhang model of HgTe quantum wells. This allows for an understanding of out-ofand DOI. Equilibrium topological phases in terms of simple band inversions, similar to equilibrium systems
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