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

Lookup NU author(s): Dr Stuart Cockburn, Professor Nikolaos ProukakisORCiD

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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.

Publication metadata

Author(s): Cockburn SP, Proukakis NP

Publication type: Article

Publication status: Published

Journal: Physical Review A

Year: 2012

Volume: 86

Issue: 3

Print publication date: 10/09/2012

ISSN (print): 1050-2947

ISSN (electronic): 1094-1622

Publisher: American Physical Society

URL: http://dx.doi.org/10.1103/PhysRevA.86.033610

DOI: 10.1103/PhysRevA.86.033610

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