Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

The European Physical Journal B

On the critical point of an interacting two-dimensional trapped Bose gas

Tapio Simula

Published Mar 25, 2009• 1 citation
Publisher
DOI
10.1140/epjb/e2009-00109-4

Related papers

Critical points of a quasi two-dimensional harmonically trapped Bose gas

Ahmed S. Hassan

Physica B Condensed Matter•Nov 16, 2009•8 citations

Critical points of a three-dimensional harmonically trapped Bose gas

Ahmed S. Hassan, Azza M. El-Badry

Physica B Condensed Matter•Mar 27, 2009•18 citations

Renormalization Theory of a Two Dimensional Bose Gas: Quantum Critical Point and Quasi-Condensed State

Serena Cenatiempo, Alessandro Giuliani

arXiv:1404.5233•Journal of Statistical Physics•Jul 2, 2014•10 citations

Critical behavior of a trapped interacting Bose gas

Stephan Ritter, Tobias Donner, Thomas Bourdel +4 more

Bulletin of the American Physical Society•Jun 9, 2007•0 citations

Critical Point of an Interacting Two-Dimensional Atomic Bose Gas

P. Krüger, Zoran Hadzibabic, Jean Dalibard

We have measured the critical atom number in an array of harmonically trapped two-dimensional (2D) Bose gases of rubidium atoms at different temperatures. We found this number to be about 5 times higher than predicted by the semiclassical theory of Bose-Einstein condensation (BEC) in the ideal gas. This demonstrates that the conventional BEC picture is inapplicable in an interacting 2D atomic gas, in sharp contrast to the three-dimensional case. A simple heuristic model based on the Berezinskii-Kosterlitz-Thouless theory of 2D superfluidity and the local density approximation accounts well for our experimental results.

arXiv:cond-mat/0703200•Physical Review Letters•Jul 23, 2007•156 citations

Connecting Berezinskii-Kosterlitz-Thouless and BEC Phase Transitions by Tuning Interactions in a Trapped Gas

Richard J. Fletcher, Martin Robert-De-Saint-Vincent, Jay Man +4 more

We study the critical point for the emergence of coherence in a harmonically trapped two-dimensional Bose gas with tunable interactions. Over a wide range of interaction strengths we find excellent agreement with the classical-field predictions for the critical point of the Berezinskii-Kosterlitz-Thouless (BKT) superfluid transition. This allows us to quantitatively show, without any free parameters, that the interaction-driven BKT transition smoothly converges onto the purely quantum-statistical Bose-Einstein condensation transition in the limit of vanishing interactions.

arXiv:1501.02262•Physical Review Letters•Jun 26, 2015•66 citations
We have measured the critical atom number in an array of harmonically trapped two-dimensional (2D) Bose gases of rubidium atoms at different temperatures. We found this number to be about 5 times higher than predicted by the semiclassical theory of Bose-Einstein condensation (BEC) in the ideal gas. This demonstrates that the conventional BEC picture is inapplicable in an interacting 2D atomic gas, in sharp contrast to the three-dimensional case. A simple heuristic model based on the Berezinskii-Kosterlitz-Thouless theory of 2D superfluidity and the local density approximation accounts well for our experimental results.
We study the critical point for the emergence of coherence in a harmonically trapped two-dimensional Bose gas with tunable interactions. Over a wide range of interaction strengths we find excellent agreement with the classical-field predictions for the critical point of the Berezinskii-Kosterlitz-Thouless (BKT) superfluid transition. This allows us to quantitatively show, without any free parameters, that the interaction-driven BKT transition smoothly converges onto the purely quantum-statistical Bose-Einstein condensation transition in the limit of vanishing interactions.