Nazarenko, Sergey, Onorato, Miguel and Proment, Davide (2014) Bose-Einstein condensation and Berezinskii-Kosterlitz-Thouless transition in the two-dimensional nonlinear Schrödinger model. Physical Review A, Volume 90 (Number 1). Article number 013624 . doi:10.1103/PhysRevA.90.013624 ISSN 1050-2947.

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Abstract

We analyze the Bose-Einstein condensation process and the Berezinskii-Kosterlitz-Thouless phase transition within the nonlinear Schrödinger model and their interplay with wave turbulence theory. By using numerical experiments we study how the condensate fraction and the first-order correlation function behave with respect to the mass, the energy, and the size of the system. By relating the free-particle energy to the temperature, we are able to estimate the Berezinskii-Kosterlitz-Thouless transition temperature. Below this transition we observe that for a fixed temperature the superfluid fraction appears to be size independent, leading to a power-law dependence of the condensate fraction with respect to the system size.

Item Type:	Journal Article
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title:	Physical Review A
Publisher:	American Physical Society
ISSN:	1050-2947
Official Date:	25 July 2014
Dates:	Date Event 25 July 2014 Published 14 May 2014 Submitted
Volume:	Volume 90
Number:	Number 1
Article Number:	Article number 013624
DOI:	10.1103/PhysRevA.90.013624
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access

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