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Dynamics of thermal Bose fields in the classical limit

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TLDR
In this article, a finite-temperature Gross-Pitaevskii equation (FTGPE) for the lowest energy modes of the Bose field operator is derived, which is coupled to an effective reservoir described by quantum kinetic theory.
Abstract
We develop an approximate formalism suitable for performing simulations of the thermal dynamics of interacting Bose gases. The method is based on the observation that when the lowest-energy modes of the Bose field operator are highly occupied, they may be treated classically to a good approximation. We derive a finite-temperature Gross-Pitaevskii equation (FTGPE) for these modes which is coupled to an effective reservoir described by quantum kinetic theory. We discuss each of the terms that arise in this GPE, and their relevance to experimental systems. We then describe a simpler projected GPE that may be useful in simulating thermal Bose condensates. This classical method could be applied to other Bose fields.

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Citations
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Bose-Einstein condensation in a gas of sodium atoms

TL;DR: The striking signature of Bose condensation was the sudden appearance of a bimodal velocity distribution below the critical temperature of ~2µK.
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Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

TL;DR: In this article, the authors review recent developments in the physics of ultracold atomic and molecular gases in optical lattices and show how these systems may be employed as quantum simulators to answer some challenging open questions of condensed matter, and even high energy physics.
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Spontaneous vortices in the formation of Bose–Einstein condensates

TL;DR: In this article, an experimental and theoretical study of the Bose-Einstein condensation phase transition of a trapped atomic gas is presented, where vortices formed spontaneously during condensation are observed and characterized, and the results provide further understanding of the development of coherence in superfluids.
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Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques

TL;DR: In this article, phase-space techniques based on the Wigner representation of dilute ultra-cold Bose gases are presented, where the quantum field evolution is represented using equations of motion of a similar form to the Gross-Pitaevskii equation but with stochastic modifications that include quantum effects in a controlled degree of approximation.
Journal ArticleDOI

Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques

TL;DR: In this paper, phase space techniques based on the Wigner representation of dilute ultra-cold Bose gases are presented, where the quantum field evolution can be represented using equations of motion of a similar form to the Gross-Pitaevskii equation but with stochastic modifications that include quantum effects in a controlled degree of approximation.
References
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Journal ArticleDOI

Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor

TL;DR: A Bose-Einstein condensate was produced in a vapor of rubidium-87 atoms that was confined by magnetic fields and evaporatively cooled and exhibited a nonthermal, anisotropic velocity distribution expected of the minimum-energy quantum state of the magnetic trap in contrast to the isotropic, thermal velocity distribution observed in the broad uncondensed fraction.
Journal ArticleDOI

Bose-Einstein condensation in a gas of sodium atoms.

TL;DR: In this article, Bose-Einstein condensation of sodium atoms was observed in a novel trap that employed both magnetic and optical forces, which increased the phase-space density by 6 orders of magnitude within seven seconds.
Proceedings Article

Bose-Einstein condensation in a gas of sodium atoms

TL;DR: The striking signature of Bose condensation was the sudden appearance of a bimodal velocity distribution below the critical temperature of ~2µK.
Journal ArticleDOI

Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions

TL;DR: Evidence for Bose-Einstein condensation of a gas of spin-polarized {sup 7}Li atoms is reported, and phase-space densities consistent with quantum degeneracy are measured for temperatures in the range of 100 to 400 nK.
Book

A modern course in statistical physics

TL;DR: The Foundations of Statistical Mechanics 7. Equilibrium Statistical Mechanics 8. Order-Disorder Transitions and Renormalization Theory 9. Interacting Fluids 10. Hydrodynamic Processes near Equilbrium 11. Transport Theory 12.
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