Universal scaling in the statistics and thermodynamics of a Bose-Einstein condensation of an ideal gas in an arbitrary trap

被引：20
作者：
Tarasov, S. V. [1 ,2 ]
Kocharovsky, Vl. V. [1 ,2 ]
Kocharovsky, V. V. [1 ,3 ]
机构：
[1] Russian Acad Sci, Inst Appl Phys, Nizhnii Novgorod 603950, Russia
[2] Univ Nizhny Novgorod, Nizhnii Novgorod 603950, Russia
[3] Texas A&M Univ, Dept Phys & Astron, College Stn, TX 77843 USA
来源：
PHYSICAL REVIEW A | 2014年 / 90卷 / 03期
关键词：
FINITE NUMBER; PARTICLE NUMBER; FLUCTUATIONS; SUPERFLUIDITY;
D O I：
10.1103/PhysRevA.90.033605
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We analytically calculate the critical phenomena of a Bose-Einstein condensation of an ideal gas in an arbitrary trap with any mesoscopic or macroscopic number of particles and find all universality classes of the system's statistics and thermodynamics. In particular, we find analytically the universal fine structure of the famous discontinuity in the value or/and derivative of the specific heat in the critical region around the lambda point.
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页数：19
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