Universal relations for a spin-polarized Fermi gas in two dimensions

doi:10.1088/1751-8121/ab196a

	Universal relations for a spin-polarized Fermi gas in two dimensions
	Peng, Shi-Guo
刊名	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
	2019-06-14
卷号	52 期号:24 页码:23
关键词	Fermi gases Tan's contact theory p-wave interactions
ISSN号	1751-8113
DOI	10.1088/1751-8121/ab196a
英文摘要	We derive the full set of universal relations for spin-polarized Fermi gases with p-wave interaction in two dimensions, simply using the short-range asymptotic behavior of fennion-pair wave functions. For p-wave interactions, an additional contact related to the effective range needs to be introduced, besides the one related to the scattering volume. Since the subleading tail (k(-4)) of the large-momenuun distribution cannot fully be captured by the contacts defined by the adiabatic relations, an extra term resulted from the center-of-mass motions of the pairs gives rise to an additional divergence in the kinetic energy of the system, besides those related to the contacts defined. We show in Tan's energy theorem that if only two-body correlations are taken into account, all these divergences are reasonably removed, leading to a finite internal energy of the system. In addition, we find that all the other universal relations, such as the high-frequency behavior of the radio-frequency response, short-range behavior of the pair correlation function, generalized virial theorem, and pressure relation, remain unaffected by the center-ofmass motions of the pairs, and are fully governed by the contacts defined by the adiabatic relations. Our results confirm the feasibility of generalizing the contact theory for higher-partial-wave scatterings, and could readily be confirmed in current experiments with ultracold K-40 and Li-6 atoms.
资助项目	NKRDP (National Key Research and Development Program)[2016YFA0301503] ; NSFC[11474315] ; NSFC[11674358] ; NSFC[11434015] ; CAS[YJKYYQ20170025] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB21010100]
WOS研究方向	Physics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000468330800002
资助机构	NKRDP (National Key Research and Development Program) ; NKRDP (National Key Research and Development Program) ; NSFC ; NSFC ; CAS ; CAS ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; NKRDP (National Key Research and Development Program) ; NKRDP (National Key Research and Development Program) ; NSFC ; NSFC ; CAS ; CAS ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; NKRDP (National Key Research and Development Program) ; NKRDP (National Key Research and Development Program) ; NSFC ; NSFC ; CAS ; CAS ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; NKRDP (National Key Research and Development Program) ; NKRDP (National Key Research and Development Program) ; NSFC ; NSFC ; CAS ; CAS ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/13639]
专题	中国科学院武汉物理与数学研究所
通讯作者	Peng, Shi-Guo
作者单位	Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Peng, Shi-Guo. Universal relations for a spin-polarized Fermi gas in two dimensions[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2019,52(24):23.
APA	Peng, Shi-Guo.(2019).Universal relations for a spin-polarized Fermi gas in two dimensions.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,52(24),23.
MLA	Peng, Shi-Guo."Universal relations for a spin-polarized Fermi gas in two dimensions".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 52.24(2019):23.