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Bose-Einstein condensation and Berezinskii-Kosterlitz-Thouless transition in the two-dimensional nonlinear Schrödinger model
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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
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Official URL: http://dx.doi.org/10.1103/PhysRevA.90.013624
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: |
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| 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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