2PI nonequilibrium versus transport equations for an ultracold Bose gas

Abstract

The far-from-equilibrium dynamics of an ultracold, one-dimensional Bose gas is studied. The focus is set on the comparison between the solutions of fully dynamical evolution equations derived from the 2PI effective action and their corresponding kinetic approximation in the form of Boltzmann-type transport equations. It is shown that during the time evolution of the gas a kinetic description which includes non-Markovian memory effects in a gradient expansion becomes valid. The time scale at which this occurs is shown to exceed significantly the time scale at which the system's evolution enters a near-equilibrium drift period where a fluctuation dissipation relation is found to hold and which would seem to be predestined for the kinetic approximation.

arXiv comment24 pages, 7 figures. References added

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• Kinetic theory of non-thermal fixed points in a Bose gas
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• Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
• Non-renormalizability of the classical statistical approximation
• Low-energy effective theory of non-thermal fixed points in a multicomponent Bose gas
• A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
• Ultracold gases far from equilibrium
• Non-equilibrium Quantum Spin Dynamics from 2PI Functional Integral Techniques in the Schwinger Boson Representation
• Comparative studies of many-body corrections to an interacting Bose condensate
• Anomalous scaling at non-thermal fixed points of the sine-Gordon model
• Non-Equilibrium 2PI Potential and Its Possible Application to Evaluation of Bulk Viscosity
• Non-equilibrium Quantum Many-Body Dynamics: Functional Integral Approaches