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A Dynamical Self-Consistent Finite Temperature Kinetic Theory: The ZNG Scheme
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Dr Joy Allen
Professor Carlo Barenghi
Professor Nikolaos Proukakis
Allen AJ, Barenghi CF, Proukakis NP, Zaremba E
Proukakis, N.P., Gardiner, S.A., Davis, M.J., Szymanska, M.H.
Quantum Gases: Finite Temperature and Non-Equilibrium Dynamics
Cold Atoms Series
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We review a self-consistent scheme for modelling trapped weakly-interacting quantum gases at temperatures where the condensate coexists with a significant thermal cloud. This method has been applied to atomic gases by Zaremba, Nikuni, and Griffin, and is often referred to as ZNG. It describes both mean-field-dominated and hydrodynamic regimes, except at very low temperatures or in the regime of large fluctuations. Condensate dynamics are described by a dissipative Gross-Pitaevskii equation (or the corresponding quantum hydrodynamic equation with a source term), while the non-condensate evolution is represented by a quantum Boltzmann equation, which additionally includes collisional processes which transfer atoms between these two subsystems. In the mean-field-dominated regime collisions are treated perturbatively and the full distribution function is needed to describe the thermal cloud, while in the hydrodynamic regime the system is parametrised in terms of a set of local variables. Applications to finite temperature induced damping of collective modes and vortices in the mean-field-dominated regime are presented.
Imperial College Press
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