Volume 95, Number 3, August 2011
|Number of page(s)||6|
|Published online||20 July 2011|
Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator
Institute for Theoretical Physics, University of Amsterdam - 1090 GL Amsterdam, The Netherlands, EU
Accepted: 22 June 2011
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 Ud exists, such that for final interaction parameter Uf>Ud the Mott insulator is exponentially unstable towards emerging long-range superfluid order, whereas for Uf<Ud the Mott insulating state is stable. We discuss the implications of this prediction for finite-dimensional systems.
PACS: 05.30.Jp – Boson systems / 67.85.De – Dynamic properties of condensates; excitations, and superfluid flow / 67.85.Hj – Bose-Einstein condensates in optical potentials
© EPLA, 2011
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.