Finite temperature mean-field theory with intrinsic non-Hermitian structures for Bose gases in optical lattices

doi:10.1088/1367-2630/ac5373

CORC > 理论物理研究所 > 中国科学院理论物理研究所 > 理论物理所科研产出 > 理论物理所1978-2010年知识产出

	Finite temperature mean-field theory with intrinsic non-Hermitian structures for Bose gases in optical lattices
	He, Liang ; Yi, Su 1,2,4
刊名	NEW JOURNAL OF PHYSICS
	2022
卷号	24 期号:2 页码:23035
关键词	QUANTUM LOCALIZATION SUPERFLUID INSULATOR MODEL
ISSN号	1367-2630
DOI	10.1088/1367-2630/ac5373
英文摘要	We reveal a divergent issue associated with the mean-field theory for Bose gases in optical lattices constructed by the widely used straightforward mean-field decoupling of the hopping term, where the corresponding mean-field Hamiltonian generally assumes no lower energy bound once the spatial dependence of the mean-field superfluid (SF) order parameter is taken into account. Via a systematic functional integral approach, we solve this issue by establishing a general finite temperature mean-field theory that can treat any possible spatial dependence of the order parameter without causing the divergent issue. Interestingly, we find the theory generally assumes an intrinsic non-Hermitian structure that originates from the indefiniteness of the hopping matrix of the system. Within this theory, we develop an efficient approach for investigating the physics of the system at finite temperature, where properties of the system can be calculated via straightforward investigation on the saddle points of an effective potential function for the order parameter. We illustrate our approach by investigating the finite temperature SF transition of Bose gases in optical lattices. Since the underlying finite temperature mean-field theory is quite general, this approach can be straightforwardly applied to investigate the finite temperature properties of related systems with phases possessing complex spatial structures.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27750]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 3.Univ Chinese Acad Sci, CAS Ctr Excellence Topol Quantum Computat, Beijing 100049, Peoples R China 4.South China Normal Univ, SPTE, Guangdong Prov Key Lab Quantum Engn & Quantum Mat, Guangzhou 510006, Peoples R China
推荐引用方式 GB/T 7714	He, Liang,Yi, Su. Finite temperature mean-field theory with intrinsic non-Hermitian structures for Bose gases in optical lattices[J]. NEW JOURNAL OF PHYSICS,2022,24(2):23035.
APA	He, Liang,&Yi, Su.(2022).Finite temperature mean-field theory with intrinsic non-Hermitian structures for Bose gases in optical lattices.NEW JOURNAL OF PHYSICS,24(2),23035.
MLA	He, Liang,et al."Finite temperature mean-field theory with intrinsic non-Hermitian structures for Bose gases in optical lattices".NEW JOURNAL OF PHYSICS 24.2(2022):23035.