Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model

Marin Bukov, Sarang Gopalakrishnan, Michael Knap, and Eugene Demler
Phys. Rev. Lett. 115, 205301 – Published 11 November 2015
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Abstract

We explore prethermal Floquet steady states and instabilities of the weakly interacting two-dimensional Bose-Hubbard model subject to periodic driving. We develop a description of the nonequilibrium dynamics, at arbitrary drive strength and frequency, using a weak-coupling conserving approximation. We establish the regimes in which conventional (zero-momentum) and unconventional [(π,π)-momentum] condensates are stable on intermediate time scales. We find that condensate stability is enhanced by increasing the drive strength, because this decreases the bandwidth of quasiparticle excitations and thus impedes resonant absorption and heating. Our results are directly relevant to a number of current experiments with ultracold bosons.

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  • Received 10 July 2015

DOI:https://doi.org/10.1103/PhysRevLett.115.205301

© 2015 American Physical Society

Authors & Affiliations

Marin Bukov1,*, Sarang Gopalakrishnan2, Michael Knap2,3, and Eugene Demler2

  • 1Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USA
  • 2Department of Physics, Harvard University, 17 Oxford Street, Cambridge, Massachusetts 02138, USA
  • 3Physics Department, Walter Schottky Institute, and Institute for Advanced Study, Technical University Munich, 85748 Garching, Germany

  • *mbukov@bu.edu

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Vol. 115, Iss. 20 — 13 November 2015

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