Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator

Abstract

We provide a rigorous derivation of Gutzwiller mean-field dynamics for lattice bosons, showing that it is exact on fully connected lattices. We apply this formalism to quenches in the interaction parameter from the Mott insulator to the superfluid state. Although within mean-field the Mott insulator is a steady state, we show that a dynamical critical interaction $U_d$ exists, such that for final interaction parameter $U_f>U_d$ the Mott insulator is exponentially unstable towards emerging long-range superfluid order, whereas for $U_f<U_d$ the Mott insulating state is stable. We discuss the implications of this prediction for finite-dimensional systems.

arXiv comment6 pages, 3 figures, published version

References in corpus (25)

• Cold bosonic atoms in optical lattices
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• A Mott insulator of fermionic atoms in an optical lattice
• Quantum phases in an optical lattice
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Oscillating Superfluidity of Bosons in Optical Lattices
• Creation of a molecular condensate by dynamically melting a Mott-insulator
• Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
• Many-body Landau-Zener dynamics in coupled 1D Bose liquids
• Non-equilibrium Gross-Pitaevskii dynamics of boson lattice models
• Detecting the Amplitude Mode of Strongly Interacting Lattice Bosons by Bragg Scattering
• Interaction-controlled transport of an ultracold Fermi gas
• Magnetic phases of two-component ultracold bosons in an optical lattice
• Correlated bosons on a lattice: Dynamical mean-field theory for Bose-Einstein condensed and normal phases
• Dynamical mean field solution of the Bose-Hubbard model
• Mean field dynamics of superfluid-insulator phase transition in a gas of ultra cold atoms
• Phase-slip induced dissipation in an atomic Bose-Hubbard system
• Emergence of coherence in the Mott--superfluid quench of the Bose-Hubbard model
• Non-equilibrium dynamics of the Bose-Hubbard model: A projection operator approach
• Local versus global equilibration near the bosonic Mott-superfluid transition
• Two-Dimensional Dynamics of Ultracold Atoms in Optical Lattices
• Lattice-Ramp Induced Dynamics in an Interacting Bose-Bose Mixture
• Collapse and revival oscillations as a probe for the tunneling amplitude in an ultra-cold Bose gas
• Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional lattices
• Strongly Interacting Atom Lasers in Three Dimensional Optical Lattices

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• Linear Ramps of Interaction in the Fermionic Hubbard Model
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