Dynamics of thermal Bose fields in the classical limit
TL;DR: 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.
read more
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.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Projected Gross-Pitaevskii equation for harmonically confined Bose gases at finite temperature
P. Blair Blakie,Matthew J. Davis +1 more
TL;DR: In this paper, the authors extend the projected Gross-Pitaevskii equation formalism to the case of thermal Bose gases in harmonic potentials and outline a robust and accurate numerical scheme that can efficiently simulate this system.
Simulations of thermal Bose fields in the classical limit
TL;DR: In this paper, it was shown that the projected Gross-Pitaevskii equation (GPE) can represent the highly occupied modes of a homogeneous, partially-condensed Bose gas.
The stochastic Gross-Pitaevskii equation II
TL;DR: In this article, a more accurate version of the stochastic Gross-Pitaevskii equation was derived, which is based on a quasi-classical Wigner function representation of a "high temperature" master equation for a Bose gas, which includes only modes below an energy cutoff that are sufficiently highly occupied (the condensate band).
123
Critical Temperature of a Trapped Bose Gas: Comparison of Theory and Experiment
Matthew J. Davis,P. Blair Blakie +1 more
TL;DR: The PGPE method is applied to the experimental problem of the shift in critical temperature Tc of a harmonically confined Bose gas and the results differ from various mean-field theories, and are in best agreement with experimental data.
Vortex pairing in two-dimensional Bose gases
TL;DR: Hadzibabic et al. as mentioned in this paper study the two-dimensional quantum degenerate Bose gas at finite temperature using the projected Gross-Pitaevskii equation classical field method, and reveal the characteristic unbinding of vortex pairs above the BKT transition via a coarse-graining procedure.
References
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.
Bose-Einstein condensation in a gas of sodium atoms.
K. B. Davis,M.-O. Mewes,M. R. Andrews,N.J. van Druten,Dallin Durfee,D. M. Kurn,Wolfgang Ketterle +6 more
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.
5.6K
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.
•Proceedings Article
Bose-Einstein condensation in a gas of sodium atoms
K. B. Davis,M-O Mewes,Andrews,N.J. van Druten,Dallin Durfee,D. M. Kurn,Wolfgang Ketterle +6 more
- 14 Jul 1996
TL;DR: The striking signature of Bose condensation was the sudden appearance of a bimodal velocity distribution below the critical temperature of ~2µK.
3.5K
A Modern Course in Statistical Physics
TL;DR: Reichl as mentioned in this paper brought together so many aspects of statistical physics in a comprehensible manner, including stochastic theory, theories of quantum fluids and critical phenomena, nonlinear chemical physics and hydrodynamics.
1.2K