Gaussian states as minimum uncertainty states

doi:10.1016/j.physleta.2019.126037

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	Gaussian states as minimum uncertainty states
	Fu, Shuangshuang 1; Luo, Shunlong2,3 ; Zhang, Yue 2,3
	2020-01-09
发表期刊	PHYSICS LETTERS A
ISSN	0375-9601
卷号	384 期号:1 页码:5
摘要	In bosonic fields, Gaussian states, which consist of a rather wide family of states including coherent states, squeezed states, thermal states, etc., have many classical-like features, and are usually defined from the mathematical perspective in terms of characteristic functions. It is well known that some special Gaussian states, such as coherent states, are minimum uncertainty states for the conventional Heisenberg uncertainty relation involving canonical pair of position and momentum observables. A natural question arises as whether all Gaussian states can be characterized as minimum uncertainty states. In this work, we show that indeed Gaussian states coincide with minimum uncertainty states for an information-theoretic refinement of the conventional uncertainty relation established in Luo (2005) [40]. This characterization puts Gaussian states on a novel basis of physical significance. (C) 2019 Elsevier B.V. All rights reserved.
关键词	Bosonic fields Gaussian states Uncertainty relation Minimum uncertainty states Wigner-Yanase skew information
DOI	10.1016/j.physleta.2019.126037
收录类别	SCI
语种	英语
资助项目	Young Scientists Fund of the National Natural Science Foundation of China[11605006] ; Natural Science Foundation of China[11875317] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences[Y029152K51] ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000500050000005
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50413
专题	应用数学研究所
通讯作者	Luo, Shunlong; Zhang, Yue
作者单位	1.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Fu, Shuangshuang,Luo, Shunlong,Zhang, Yue. Gaussian states as minimum uncertainty states[J]. PHYSICS LETTERS A,2020,384(1):5.
APA	Fu, Shuangshuang,Luo, Shunlong,&Zhang, Yue.(2020).Gaussian states as minimum uncertainty states.PHYSICS LETTERS A,384(1),5.
MLA	Fu, Shuangshuang,et al."Gaussian states as minimum uncertainty states".PHYSICS LETTERS A 384.1(2020):5.