Ab initio methods for finite-temperature two-dimensional Bose gases

S. P. Cockburn and N. P. Proukakis
Phys. Rev. A 86, 033610 – Published 10 September 2012

Abstract

The stochastic Gross-Pitaevskii equation and modified Popov theory are shown to provide an excellent ab initio description of finite-temperature, weakly interacting, two-dimensional Bose gas experiments. In particular, we demonstrate that the stochastic Gross-Pitaevskii equation generates excellent agreement with the recent experiment by C.-L. Hung et al. [Nature 470, 236 (2011)], thereby confirming that the observed universality and scale invariance arise naturally within this formalism. This is achieved in an ab initio manner, in which a systematic approach for obtaining a suitable value for the momentum cutoff of interacting classical field theories is proposed by means of the modified Popov theory.

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  • Received 29 June 2012

DOI:https://doi.org/10.1103/PhysRevA.86.033610

©2012 American Physical Society

Authors & Affiliations

S. P. Cockburn and N. P. Proukakis

  • Joint Quantum Centre (JQC) Durham-Newcastle, School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom

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Issue

Vol. 86, Iss. 3 — September 2012

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