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

2011/01/31 by Michiel Snoek, M. Snoek · 23 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Formalism (music) #Insulator (electricity) #Lattice (music) #Mott insulator #Physics of Superconductivity and Magnetism #Quantum many-body systems #Superfluidity #cond-mat.quant-gas #cond-mat.stat-mech

paper · pdf · doi:10.1209/0295-5075/95/30006

published in Europhysics Letters (EPL) 95(3), 30006 (Institute of Physics) · 6 pages, 3 figures, published version

openalex publication_date 2011/07/20 · arxiv created 2011/07/25 · arxiv updated 2011/07/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Nonequilibrium Gross-Pitaevskii dynamics of boson lattice models
• Oscillating Superfluidity of Bosons in Optical Lattices
• Collapse and revival oscillations as a probe for the tunneling amplitude in an ultracold Bose gas
• Interaction-Controlled Transport of an Ultracold Fermi Gas
• Many-body Landau–Zener dynamics in coupled one-dimensional Bose liquids

Cited by

• Expansion of Bose-Hubbard Mott insulators in optical lattices
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
• Quantum quenches in 1 + 1 dimensional conformal field theories