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Cho, W; Kim, SW; Park, JH; Cho, W (reprint author), Sogang Univ, Dept Phys, Seoul 121742, South Korea.
Two-dimensional Bose-Einstein condensate under pressure
KeywordIdeal Bose Gas Emergence First-order Phase Transition Two Dimensions
AbstractEvading the Mermin-Wagner-Hohenberg no-go theorem and revisiting with rigor the ideal Bose gas confined in a square box, we explore a discrete phase transition in two spatial dimensions. Through both analytic and numerical methods, we verify that thermodynamic instability emerges if the number of particles is sufficiently yet finitely large: specifically, N >= 35131. The instability implies that the isobar of the gas zigzags on the temperature-volume plane, featuring supercooling and superheating phenomena. The Bose-Einstein condensation can then persist from absolute zero to the superheating temperature. Without necessarily taking the large N limit, under a constant pressure condition, the condensation takes place discretely both in the momentum and in the position spaces. Our result is applicable to a harmonic trap. We assert that experimentally observed Bose-Einstein condensations of harmonically trapped atomic gases are a first-order phase transition that involves a discrete change of the density at the center of the trap.
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Corresponding AuthorCho, W (reprint author), Sogang Univ, Dept Phys, Seoul 121742, South Korea.
Recommended Citation
GB/T 7714
Cho, W,Kim, SW,Park, JH,et al. Two-dimensional Bose-Einstein condensate under pressure[J]. NEW JOURNAL OF PHYSICS,2015,17(0):13038.
APA Cho, W,Kim, SW,Park, JH,&Cho, W .(2015).Two-dimensional Bose-Einstein condensate under pressure.NEW JOURNAL OF PHYSICS,17(0),13038.
MLA Cho, W,et al."Two-dimensional Bose-Einstein condensate under pressure".NEW JOURNAL OF PHYSICS 17.0(2015):13038.
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