Dynamical depinning of a Tonks Girardeau gas

Abstract

We study the dynamical depinning following a sudden turn off of an optical lattice for a gas of impenetrable bosons in a tight atomic waveguide. We use a Bose-Fermi mapping to infer the exact quantum dynamical evolution. At long times, in the thermodynamic limit, we observe the approach to a non-equilibrium steady state, characterized by the absence of quasi-long-range order and a reduced visibility in the momentum distribution. Similar features are found in a finite-size system at times corresponding to half the revival time, where we find that the system approaches a quasi-steady state with a power-law behaviour.

arXiv comment5 pages, 5 figures

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• Separation of Timescales in a Quantum Newton's Cradle
• Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Motion of a distinguishable impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking
• Quenches from gaussian bosons to Tonks-Girardeau gas: stationary states and effects of a confining potential
• Universal off-diagonal long-range order behaviour for a trapped Tonks-Girardeau gas
• Dynamics of spin and density fluctuations in strongly interacting few-body systems
• Self-Pinning Transition of a Tonks-Girardeau Gas in a Bose-Einstein Condensate
• Static and dynamic phases of a Tonks-Girardeau gas in an optical lattice
• Quantum Work of an Optical Lattice