Behavior of eigenvalues in a region of broken PT symmetry

doi:10.1103/PhysRevA.95.052113

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	Behavior of eigenvalues in a region of broken PT symmetry
	Bender, Carl M.1; Hassanpour, Nima 1; Hook, Daniel W.1,2; Klevansky, S. P.3; Snderhauf, Christoph 1,3; Wen, Zichao 1,4,5
	2017-05-15
发表期刊	PHYSICAL REVIEW A
ISSN	2469-9926
卷号	95 期号:5 页码:13
摘要	PT-symmetric quantum mechanics began with a study of the Hamiltonian H =p(2) + x(2)(ix)(epsilon). When epsilon >= 0, the eigenvalues of this non-Hermitian Hamiltonian are discrete, real, and positive. This portion of parameter space is known as the region of unbroken PT symmetry. In the region of broken PT symmetry, epsilon < 0, only a finite number of eigenvalues are real and the remaining eigenvalues appear as complex-conjugate pairs. The region of unbroken PT symmetry has been studied but the region of broken PT symmetry has thus far been unexplored. This paper presents a detailed numerical and analytical examination of the behavior of the eigenvalues for -4 < epsilon < 0. In particular, it reports the discovery of an infinite-order exceptional point at epsilon = -1, a transition from a discrete spectrum to a partially continuous spectrum at epsilon = -2, a transition at the Coulomb value epsilon = -3, and the behavior of the eigenvalues as e approaches the conformal limit epsilon= -4.
DOI	10.1103/PhysRevA.95.052113
语种	英语
WOS研究方向	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000401443700002
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25317
专题	中国科学院数学与系统科学研究院
通讯作者	Bender, Carl M.; Hassanpour, Nima; Hook, Daniel W.; Klevansky, S. P.; Snderhauf, Christoph; Wen, Zichao
作者单位	1.Washington Univ, Dept Phys, St Louis, MO 63130 USA 2.Imperial Coll London, Ctr Complex Sci, London SW7 2AZ, England 3.Heidelberg Univ, Inst Theoret Phys, Philosophenweg 12, D-69120 Heidelberg, Germany 4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 5.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Bender, Carl M.,Hassanpour, Nima,Hook, Daniel W.,et al. Behavior of eigenvalues in a region of broken PT symmetry[J]. PHYSICAL REVIEW A,2017,95(5):13.
APA	Bender, Carl M.,Hassanpour, Nima,Hook, Daniel W.,Klevansky, S. P.,Snderhauf, Christoph,&Wen, Zichao.(2017).Behavior of eigenvalues in a region of broken PT symmetry.PHYSICAL REVIEW A,95(5),13.
MLA	Bender, Carl M.,et al."Behavior of eigenvalues in a region of broken PT symmetry".PHYSICAL REVIEW A 95.5(2017):13.