Higher-order local and non-local correlations for 1D strongly interacting Bose gas
文献类型：期刊论文
| 作者 | Nandani, E. J. K. P.1,2,3; Romer, Rudolf R.4,5; Tan, Shina6,7; Guan, Xi-Wen1,8 |
| 刊名 | NEW JOURNAL OF PHYSICS
 |
| 出版日期 | 2016-05-26 |
| 卷号 | 18 |
| 关键词 | high order correlation functions generalized exclusion statistics Fermi distribution Bethe ansatz weave functions |
| 英文摘要 | The correlation function is an important quantity in the physics of ultracold quantum gases because it provides information about the quantum many-body wave function beyond the simple density profile. In this paper we first study the M-body local correlation functions, g(M), of the one-dimensional (1D) strongly repulsive Bose gas within the Lieb-Liniger model using the analytical method proposed by Gangardt and Shlyapnikov (2003 Phys. Rev. Lett. 90 010401; 2003 New J. Phys. 5 79). In the strong repulsion regime the 1D Bose gas at low temperatures is equivalent to a gas of ideal particles obeying the non-mutual generalized exclusion statistics with a statistical parameter alpha = 1 - 2/gamma, i.e. the quasimomenta of N strongly interacting bosons map to the momenta of N free fermions via k(i) approximate to alpha k(i)(F) with i = 1,..., N. Here. is the dimensionless interaction strength within the Lieb-Liniger model. We rigorously prove that such a statistical parameter a solely determines the sub-leading order contribution to the M-body local correlation function of the gas at strong but finite interaction strengths. We explicitly calculate the correlation functions g(M) in terms of. and a at zero, low, and intermediate temperatures. For M = 2 and 3 our results reproduce the known expressions for g(2) and g(3) with sub-leading terms (see for instance (Vadim et al 2006 Phys. Rev. A 73 051604(R); Kormos et al 2009 Phys. Rev. Lett. 103 210404; Wang et al 2013 Phys. Rev. A 87 043634). We also express the leading order of the short distance non-local correlation functions |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Physics, Multidisciplinary |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | FRACTIONAL-STATISTICS ; ONE-DIMENSION ; ANYON GAS ; THERMODYNAMICS ; CONDENSATE ; PARTICLES ; PROPERTY ; SYSTEMS ; BOSONS ; STATE |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000377194200002 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/9377]  |
| 专题 | 武汉物理与数学研究所_理论与交叉研究部 |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Univ Ruhuna, Dept Math, Matara 81000, Sri Lanka 4.Univ Warwick, Dept Phys, Coventry CV4 7AL, W Midlands, England 5.Univ Warwick, Ctr Comp Sci, Coventry CV4 7AL, W Midlands, England 6.Georgia Inst Technol, Sch Phys, Atlanta, GA 30332 USA 7.Chinese Acad Sci, Ctr Cold Atom Phys, Wuhan 430071, Peoples R China 8.Australian Natl Univ, Res Sch Phys & Engn, Dept Theoret Phys, GPO Box 4, Canberra, ACT 0200, Australia |
| 推荐引用方式 GB/T 7714 | Nandani, E. J. K. P.,Romer, Rudolf R.,Tan, Shina,et al. Higher-order local and non-local correlations for 1D strongly interacting Bose gas[J]. NEW JOURNAL OF PHYSICS,2016,18. |
| APA | Nandani, E. J. K. P.,Romer, Rudolf R.,Tan, Shina,&Guan, Xi-Wen.(2016).Higher-order local and non-local correlations for 1D strongly interacting Bose gas.NEW JOURNAL OF PHYSICS,18. |
| MLA | Nandani, E. J. K. P.,et al."Higher-order local and non-local correlations for 1D strongly interacting Bose gas".NEW JOURNAL OF PHYSICS 18(2016). |
入库方式： OAI收割
来源：武汉物理与数学研究所
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