Bose-Einstein condensation and Berezinskii-Kosterlitz-Thouless transition in the two-dimensional nonlinear Schrödinger model

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, 90 (1). 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:	Article
Uncontrolled Keywords:	physics.flu-dyn,cond-mat.quant-gas,cond-mat.stat-mech
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Quantum Fluids (former - to 2024) Faculty of Science > Research Groups > Centre for Photonics and Quantum Science Faculty of Science > Research Groups > Quantum Matter Faculty of Science > Research Groups > Numerical Simulation, Statistics & Data Science (former - to 2025)
Depositing User:	Pure Connector
Date Deposited:	09 Jun 2014 13:38
Last Modified:	29 Jun 2025 00:18
URI:	https://ueaeprints.uea.ac.uk/id/eprint/48630
DOI:	10.1103/PhysRevA.90.013624

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