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Critical behaviours of contact near phase transitions
Chen, Y. -Y.1; Jiang, Y. -Z.1; Guan, X. -W.1,2,3; Zhou, Qi4
2014-10-01
Source PublicationNATURE COMMUNICATIONS
Volume5
SubtypeArticle
AbstractA central quantity of importance for ultracold atoms is contact, which measures two-body correlations at short distances in dilute systems. It appears in universal relations among thermodynamic quantities, such as large momentum tails, energy and dynamic structure factors, through the renowned Tan relations. However, a conceptual question remains open as to whether or not contact can signify phase transitions that are insensitive to short-range physics. Here we show that, near a continuous classical or quantum phase transition, contact exhibits a variety of critical behaviours, including scaling laws and critical exponents that are uniquely determined by the universality class of the phase transition, and a constant contact per particle. We also use a prototypical exactly solvable model to demonstrate these critical behaviours in one-dimensional strongly interacting fermions. Our work establishes an intrinsic connection between the universality of dilute many-body systems and universal critical phenomena near a phase transition.
WOS HeadingsScience & Technology
DOI10.1038/ncomms6140
WOS KeywordDELTA-FUNCTION INTERACTION ; CORRELATED FERMI GAS ; ONE-DIMENSION ; THERMODYNAMICS ; BOSONS ; TEMPERATURE ; SYSTEMS ; SPIN
Indexed BySCI
Language英语
WOS Research AreaScience & Technology - Other Topics
WOS SubjectMultidisciplinary Sciences
WOS IDWOS:000343980700004
Citation statistics
Document Type期刊论文
Identifierhttp://ir.apm.ac.cn/handle/112942/1486
Collection理论与交叉研究部
Affiliation1.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
3.Australian Natl Univ, Res Sch Phys & Engn, Dept Theoret Phys, Canberra, ACT 0200, Australia
4.Chinese Univ Hong Kong, Dept Phys, Sha Tin, Hong Kong, Peoples R China
Recommended Citation
GB/T 7714
Chen, Y. -Y.,Jiang, Y. -Z.,Guan, X. -W.,et al. Critical behaviours of contact near phase transitions[J]. NATURE COMMUNICATIONS,2014,5.
APA Chen, Y. -Y.,Jiang, Y. -Z.,Guan, X. -W.,&Zhou, Qi.(2014).Critical behaviours of contact near phase transitions.NATURE COMMUNICATIONS,5.
MLA Chen, Y. -Y.,et al."Critical behaviours of contact near phase transitions".NATURE COMMUNICATIONS 5(2014).
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