Bandwidth-resonant Floquet states in honeycomb optical lattices

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 t...

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Main Authors: A Quelle, M O Goerbig, C Morais Smith
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/18/1/015006
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author A Quelle
M O Goerbig
C Morais Smith
author_facet A Quelle
M O Goerbig
C Morais Smith
author_sort A Quelle
collection DOAJ
description 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.
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spelling doaj.art-8a5f5b48cad54f1a9745f4ee89847ab42023-08-08T14:37:31ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118101500610.1088/1367-2630/18/1/015006Bandwidth-resonant Floquet states in honeycomb optical latticesA Quelle0M O Goerbig1C Morais Smith2Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University , Leuvenlaan 4, 3584 CE Utrecht, The NetherlandsLaboratoire de Physique des Solides, CNRS UMR 8502, Université Paris-Sud , Bât. 510, F-91405 Orsay cedex, FranceInstitute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University , Leuvenlaan 4, 3584 CE Utrecht, The NetherlandsWe 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.https://doi.org/10.1088/1367-2630/18/1/015006Floquethoneycomb optical latticetopological statesquantum phase transition
spellingShingle A Quelle
M O Goerbig
C Morais Smith
Bandwidth-resonant Floquet states in honeycomb optical lattices
New Journal of Physics
Floquet
honeycomb optical lattice
topological states
quantum phase transition
title Bandwidth-resonant Floquet states in honeycomb optical lattices
title_full Bandwidth-resonant Floquet states in honeycomb optical lattices
title_fullStr Bandwidth-resonant Floquet states in honeycomb optical lattices
title_full_unstemmed Bandwidth-resonant Floquet states in honeycomb optical lattices
title_short Bandwidth-resonant Floquet states in honeycomb optical lattices
title_sort bandwidth resonant floquet states in honeycomb optical lattices
topic Floquet
honeycomb optical lattice
topological states
quantum phase transition
url https://doi.org/10.1088/1367-2630/18/1/015006
work_keys_str_mv AT aquelle bandwidthresonantfloquetstatesinhoneycombopticallattices
AT mogoerbig bandwidthresonantfloquetstatesinhoneycombopticallattices
AT cmoraissmith bandwidthresonantfloquetstatesinhoneycombopticallattices