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 [$(\pi ,\pi )$-momentum] condensates are stable on intermediate time scales. We find that condensate stability is \emph{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.

Three (3) numerical simulations in mp4 format available in the ancillary files. A legend for them is available at the end of the Supplemental Material

References in corpus (23)

• Thermalization and its mechanism for generic isolated quantum systems
• Photovoltaic Hall effect in graphene
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Dynamical control of matter-wave tunneling in periodic potentials
• Equilibrium states of generic quantum systems subject to periodic driving
• Many-body localization in periodically driven systems
• Coherent control of dressed matter waves
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Observation of Bose-Einstein Condensation in a Strong Synthetic Magnetic Field
• Creating State-Dependent Lattices for Ultracold Fermions by Magnetic Gradient Modulation
• Far-from-equilibrium field theory of many-body quantum spin systems: Prethermalization and relaxation of spin spiral states in three dimensions
• Exploring dynamical phase transitions and prethermalization with quantum noise of excitations
• Population dynamics in Floquet realisation of Harper-Hofstadter Hamiltonian
• Many-body interband tunneling as a witness for complex dynamics in the Bose-Hubbard model
• Instability and control of a periodically-driven Bose-Einstein condensate
• Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice
• Expansion of matter waves in static and driven periodic potentials
• Stroboscopic versus non-stroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian
• Comment on "Creating artificial magnetic fields for cold atoms by photon-assisted tunneling" by Kolovsky A.R
• Parametric instability in periodically driven Luttinger liquids
• Exact numerical methods for a many-body Wannier Stark system

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• Prethermal quantum many-body Kapitza phases of periodically driven spin systems
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• Emergent hydrodynamics in non-equilibrium quantum systems
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