Winding up superfluid in a torus via Bose Einstein condensation

Das, Arnab, Sabbatini, Jacopo and Zurek, Wojciech H. (2012) Winding up superfluid in a torus via Bose Einstein condensation. Scientific Reports, 2 352.1-352.6. doi:10.1038/srep00352


Author Das, Arnab
Sabbatini, Jacopo
Zurek, Wojciech H.
Title Winding up superfluid in a torus via Bose Einstein condensation
Journal name Scientific Reports   Check publisher's open access policy
ISSN 2045-2322
Publication date 2012-04
Sub-type Article (original research)
DOI 10.1038/srep00352
Open Access Status DOI
Volume 2
Start page 352.1
End page 352.6
Total pages 6
Place of publication London, United Kingdom
Publisher Nature Publishing Group
Collection year 2013
Language eng
Abstract Phase transitions are usually treated as equilibrium phenomena, which yields telltale universality classes with scaling behavior of relaxation time and healing length. However, in second-order phase transitions relaxation time diverges near the critical point (‘‘critical slowing down’’). Therefore, every such transition traversed at a finite rate is a non-equilibrium process. Kibble-Zurek mechanism (KZM) captures this basic physics, predicting sizes of domains – fragments of broken symmetry – and the density of topological defects, long-lived relics of symmetry breaking that can survive long after the transition. To test KZM we simulate Bose-Einstein condensation in a ring using stochastic Gross-Pitaevskii equation and show that BEC formation can spontaneously generate quantized circulation of the newborn condensate. The magnitude of the resulting winding numbers and the time-lag of BEC density growth – both experimentally measurable – follow scalings predicted by KZM. Our results may also facilitate measuring the dynamical critical exponent for the BEC transition.
Keyword Gross-Pitaevskii Equation
Symmetry-breaking
Cosmological experiments
Phase-transition
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article number: 352

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2013 Collection
 
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