Hidden thermal structure in Fock space

doi:10.1103/PhysRevE.98.060103

ITP OpenIR > SCI期刊论文

	Tian, CS; Yang, K 2,3; Fang, P 4; Zhou, HJ; Wang, J 5,6
	Hidden thermal structure in Fock space
Source Publication	PHYSICAL REVIEW E
Language	英语
Keyword	STATISTICAL-MECHANICS QUANTUM CHAOS GAS
Abstract	The 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
ISSN	2470-0045
Volume	98 Issue:6 Pages:60103
Subject Area	Physics
MOST Discipline Catalogue	Physics, Fluids & Plasmas ; Physics, Mathematical
DOI	10.1103/PhysRevE.98.060103
Indexed By	SCIE
Citation statistics	Cited Times:2[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	http://ir.itp.ac.cn/handle/311006/23525
Collection	SCI期刊论文
Affiliation	1.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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