title: Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model.
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.
authors.affiliation: Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USA.
authors.forename: Marin
authors.initials: M
authors.lastname: Bukov
authors.affiliation: Department of Physics, Harvard University, 17 Oxford Street, Cambridge, Massachusetts 02138, USA.
authors.forename: Sarang
authors.initials: S
authors.lastname: Gopalakrishnan
authors.affiliation: Department of Physics, Harvard University, 17 Oxford Street, Cambridge, Massachusetts 02138, USA.|Physics Department, Walter Schottky Institute, and Institute for Advanced Study, Technical University Munich, 85748 Garching, Germany.
authors.forename: Michael
authors.initials: M
authors.lastname: Knap
authors.affiliation: Department of Physics, Harvard University, 17 Oxford Street, Cambridge, Massachusetts 02138, USA.
authors.forename: Eugene
authors.initials: E
authors.lastname: Demler