Stochastic Projected Gross-Pitaevskii equation for spinor and multi-component condensates

Abstract

A stochastic Gross-Pitaevskii equation is derived for partially condensed Bose gas systems subject to binary contact interactions. The theory we present provides a classical-field theory suitable for describing dissipative dynamics and phase transitions of spinor and multi-component Bose gas systems comprised of an arbitrary number of distinct interacting Bose fields. A new class of dissipative processes involving distinguishable particle interchange between coherent and incoherent regions of phase-space is identified. The formalism and its implications are illustrated for two-component mixtures and spin-1 Bose-Einstein condensates. For systems comprised of atoms of equal mass, with thermal reservoirs that are close to equilibrium, the dissipation rates of the theory are reduced to analytical expressions that may be readily evaluated. The unified treatment of binary contact interactions presented here provides a theory with broad relevance for quasi-equilibrium and far-from-equilibrium Bose-Einstein condensates.

19 pages, 2 figures

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Cited by in corpus (5)

• Kinetic Model of Trapped Finite Temperature Binary Condensates
• Thermodynamics of a spin-1 Bose gas with fixed magnetization
• Thermal fluctuations and quantum phase transition in antiferromagnetic Bose-Einstein condensates
• Continuum of classical-field ensembles from canonical to grand canonical and the onset of their equivalence
• Equilibration of a finite temperature binary Bose gas formed by population transfer