Full Counting Statistics and Large Deviations in a Thermal 1D Bose Gas

被引:24
作者
Arzamasovs, Maksims [1 ,2 ,3 ]
Gangardt, Dimitri M. [4 ]
机构
[1] Xi An Jiao Tong Univ, Sch Sci, Dept Appl Phys, Xian 710049, Shaanxi, Peoples R China
[2] Xi An Jiao Tong Univ, Shaanxi Prov Key Lab Quantum Informat & Quantum O, Xian 710049, Shaanxi, Peoples R China
[3] Univ Latvia, Inst Atom Phys & Spect, LV-1586 Riga, Latvia
[4] Univ Birmingham, Sch Phys & Astron, Birmingham B15 2TT, W Midlands, England
关键词
BOSONS;
D O I
10.1103/PhysRevLett.122.120401
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We obtain the distribution of a number of atoms in an interval (full counting statistics) for interacting bosons in one dimension. Our results are valid in the weakly interacting regime in a parametrically large window of temperatures and interval lengths. The obtained distribution significantly deviates from a Gaussian away from the quasicondensate regime, and, for sufficiently short intervals, the probability of large number fluctuations is strongly enhanced.
引用
收藏
页数:5
相关论文
共 21 条
[11]   Sub-Poissonian Fluctuations in a 1D Bose Gas: From the Quantum Quasicondensate to the Strongly Interacting Regime [J].
Jacqmin, Thibaut ;
Armijo, Julien ;
Berrada, Tarik ;
Kheruntsyan, Karen V. ;
Bouchoule, Isabelle .
PHYSICAL REVIEW LETTERS, 2011, 106 (23)
[12]   Pair correlations in a finite-temperature 1D Bose gas [J].
Kheruntsyan, KV ;
Gangardt, DM ;
Drummond, PD ;
Shlyapnikov, GV .
PHYSICAL REVIEW LETTERS, 2003, 91 (04) :1-040403
[13]   Local atom-number fluctuations in quantum gases at finite temperature [J].
Klawunn, M. ;
Recati, A. ;
Pitaevskii, L. P. ;
Stringari, S. .
PHYSICAL REVIEW A, 2011, 84 (03)
[14]  
Korepin V., ARXIVCONDMAT9510068
[15]  
Korepin V.E., 1993, Quantum Inverse Scattering Method and Correlation Functions
[16]   EXACT ANALYSIS OF AN INTERACTING BOSE GAS .1. GENERAL SOLUTION AND GROUND STATE [J].
LIEB, EH ;
LINIGER, W .
PHYSICAL REVIEW, 1963, 130 (04) :1605-+
[17]  
Perelomov A. M., 1998, Quantum Mechanics, Selected Topics
[18]   Mesoscopic density grains in a 1D interacting Bose gas from the exact Yang-Yang solution [J].
Pietraszewicz, Joanna ;
Deuar, Piotr .
NEW JOURNAL OF PHYSICS, 2017, 19
[19]   Spatial nonlocal pair correlations in a repulsive 1D Bose gas [J].
Sykes, A. G. ;
Gangardt, D. M. ;
Davis, M. J. ;
Viering, K. ;
Raizen, M. G. ;
Kheruntsyan, K. V. .
PHYSICAL REVIEW LETTERS, 2008, 100 (16)
[20]   Quantum criticality and the Tomonaga-Luttinger liquid in one-dimensional Bose gases [J].
Yang, Bing ;
Chen, Yang-Yang ;
Zheng, Yong-Guang ;
Sun, Hui ;
Dai, Han-Ning ;
Guan, Xi-Wen ;
Yuan, Zhen-Sheng ;
Pan, Jian-Wei .
PHYSICAL REVIEW LETTERS, 2017, 119 (16)