Exponential decay of the number of excitations in the weakly interacting Bose gas

被引：1

作者：

Mitrouskas, David ^{[1
]}

Pickl, Peter ^{[2
]}

机构：

[1] Inst Sci & Technol Austria ISTA, Campus 1, A-3400 Klosterneuburg, Austria

[2] Univ Tubingen, Fachbereich Math, Morgenstelle 10, D-72076 Tubingen, Germany

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 12期

关键词：

PITAEVSKII; SPECTRUM; BOSONS; STATES;

D O I：

10.1063/5.0172199

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider N trapped bosons in the mean-field limit with coupling constant lambda N = 1/(N - 1). The ground state of such systems exhibits Bose-Einstein condensation. We prove that the probability of finding l particles outside the condensate wave function decays exponentially in l.

引用

页数：10

共 50 条

[31] The number of bose-condensed particles in a weakly nonideal bose gas
V. P. Maslov
O. Yu. Shvedov
Mathematical Notes, 1997, 61 : 661 - 664
[32] The number of Bose-condensed particles in a weakly nonideal Bose gas
Maslov, VP
Shvedov, OY
MATHEMATICAL NOTES, 1997, 61 (5-6) : 661 - 664
[33] INTERACTING EXCITATIONS IN A BOSE FLUID
SOMMERS, HJ
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1977, 26 (04): : 299 - 305
[34] Hybridization of first and second sound in a weakly interacting Bose gas
Verney, Lucas
Pitaevskii, Lev
Stringari, Sandro
EPL, 2015, 111 (04)
[35] Shift of BEC temperature of homogenous weakly interacting Bose gas
Kastening, B
LASER PHYSICS, 2004, 14 (04) : 586 - 590
[36] Optimization criterion of potential for trapped weakly interacting Bose gas
Yuan Du-Qi
ACTA PHYSICA SINICA, 2011, 60 (03)
[37] Coexisting condensates of weakly interacting bose gas in a harmonic trap
Miao, YX
Yang, HY
Zhai, H
Chang, L
COMMUNICATIONS IN THEORETICAL PHYSICS, 2003, 40 (01) : 48 - 52
[38] DYNAMIC FORM-FACTOR OF A WEAKLY INTERACTING BOSE GAS
WONG, VK
GOULD, H
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1972, 17 (01): : 60 - &
[39] Weakly Interacting Bose Gas in the One-Dimensional Limit
Krueger, P.
Hofferberth, S.
Mazets, I. E.
Lesanovsky, I.
Schmiedmayer, J.
PHYSICAL REVIEW LETTERS, 2010, 105 (26)
[40] Weakly interacting Bose gas with two-body losses
Liu, Chang
Shi, Zheyu
Wang, Ce
SCIPOST PHYSICS, 2024, 16 (05):

← 1 2 3 4 5 →