ITP OpenIR  > SCI期刊论文
Tian, CS; Yang, K2,3; Fang, P4; Zhou, HJ; Wang, J5,6
Hidden thermal structure in Fock space
Source PublicationPHYSICAL REVIEW E
Language英语
KeywordSTATISTICAL-MECHANICS QUANTUM CHAOS GAS
AbstractThe emergence of quantum statistical mechanics from individual pure states of closed many-body systems is under intensive investigation. While most effort has been put on the impact of the direct interaction (i.e., the usual mutual interaction), here we study systematically and analytically the impact of the exchange interaction that arises from the particle indistinguishability. We show that this interaction leads an overwhelming number of Fock states to exhibit a structure that can be resolved only by observables adjusted according to the system's dynamical properties and from which thermal distributions emerge. This hidden thermal structure in Fock space is found to be related to the so-called limit shape of random geometric objects in mathematics. The structure enables us to uncover, for both ideal and nonideal Fermi gases, a striking mechanism for the emergence of quantum statistical mechanics from individual eigenstates.
2018
ISSN2470-0045
Volume98Issue:6Pages:60103
Subject AreaPhysics
MOST Discipline CataloguePhysics, Fluids & Plasmas ; Physics, Mathematical
DOI10.1103/PhysRevE.98.060103
Indexed BySCIE
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/23525
CollectionSCI期刊论文
Affiliation1.Chinese Acad Sci, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
3.Florida State Univ, Natl High Magnet Field Lab, Tallahassee, FL 32306 USA
4.Florida State Univ, Dept Phys, Tallahassee, FL 32306 USA
5.Tsinghua Univ, Inst Adv Study, Beijing 100084, Peoples R China
6.Xiamen Univ, Dept Phys, Key Lab Low Dimens Condensed Matter Phys, Dept Educ Fujian Prov, Xiamen 361005, Fujian, Peoples R China
7.Xiamen Univ, Jiujiang Res Inst, Xiamen 361005, Fujian, Peoples R China
Recommended Citation
GB/T 7714
Tian, CS,Yang, K,Fang, P,et al. Hidden thermal structure in Fock space[J]. PHYSICAL REVIEW E,2018,98(6):60103.
APA Tian, CS,Yang, K,Fang, P,Zhou, HJ,&Wang, J.(2018).Hidden thermal structure in Fock space.PHYSICAL REVIEW E,98(6),60103.
MLA Tian, CS,et al."Hidden thermal structure in Fock space".PHYSICAL REVIEW E 98.6(2018):60103.
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