Understanding many-body physics in one dimension from the Lieb-Liniger model
Jiang Yu-Zhu1,2; Chen Yang-Yang1,2; Guan Xi-Wen1,2
刊名CHINESE PHYSICS B
2015-05-01
卷号24期号:5
关键词many-body physics Lieb-Liniger model
英文摘要This article presents an elementary introduction on various aspects of the prototypical integrable model the Lieb-Liniger Bose gas ranging from the cooperative to the collective features of many-body phenomena. In 1963, Lieb and Liniger first solved this quantum field theory many-body problem using Bethe's hypothesis, i.e., a particular form of wave-function introduced by Bethe in solving the one-dimensional Heisenberg model in 1931. Despite the Lieb-Liniger model is arguably the simplest exactly solvable model, it exhibits rich quantum many-body physics in terms of the aspects of mathematical integrability and physical universality. Moreover, the Yang-Yang grand canonical ensemble description for the model provides us with a deep understanding of quantum statistics, thermodynamics, and quantum critical phenomena at the many-body physical level. Recently, such fundamental physics of this exactly solved model has been attracting growing interest in experiments. Since 2004, there have been more than 20 experimental papers that reported novel observations of different physical aspects of the Lieb-Liniger model in the laboratory. So far the observed results are in excellent agreement with results obtained using the analysis of this simplest exactly solved model. Those experimental observations reveal the unique beauty of integrability.
WOS标题词Science & Technology ; Physical Sciences
类目[WOS]Physics, Multidisciplinary
研究领域[WOS]Physics
关键词[WOS]CORRELATED FERMI GAS ; BOSE-GAS ; GROUND-STATE ; BOSONS ; SYSTEMS ; PHASE
收录类别SCI
语种英语
WOS记录号WOS:000356528600017
公开日期2015-07-28
内容类型期刊论文
源URL[http://ir.wipm.ac.cn/handle/112942/4768]  
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.Chinese Acad Sci, Ctr Cold Atom Phys, Wuhan 430071, Peoples R China
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Jiang Yu-Zhu,Chen Yang-Yang,Guan Xi-Wen. Understanding many-body physics in one dimension from the Lieb-Liniger model[J]. CHINESE PHYSICS B,2015,24(5).
APA Jiang Yu-Zhu,Chen Yang-Yang,&Guan Xi-Wen.(2015).Understanding many-body physics in one dimension from the Lieb-Liniger model.CHINESE PHYSICS B,24(5).
MLA Jiang Yu-Zhu,et al."Understanding many-body physics in one dimension from the Lieb-Liniger model".CHINESE PHYSICS B 24.5(2015).
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