NDLI: Nearby states in non-Hermitian quantum systems I: Two states

Content Provider	Springer Nature Link
Author	Eleuch, Hichem Rotter, Ingrid
Copyright Year	2015
Abstract	The formalism for the description of open quantum systems (that are embedded into a common well-defined environment) by means of a non-Hermitian Hamilton operator ℋ is sketched. Eigenvalues and eigenfunctions are parametrically controlled. Using a 2 × 2 model, we study the eigenfunctions of ℋ at and near to the singular exceptional points (EPs) at which two eigenvalues coalesce and the corresponding eigenfunctions differ from one another by only a phase. Nonlinear terms in the Schrödinger equation appear nearby EPs which cause a mixing of the wavefunctions in a certain finite parameter range around the EP. The phases of the eigenfunctions jump by π at an EP. These results hold true for systems that can emit (“loss”) particles into the environment of scattering wavefunctions as well as for systems which can moreover absorb (“gain”) particles from the environment. In a parameter range far from an EP, open quantum systems are described well by a Hermitian Hamilton operator. The transition from this parameter range to that near to an EP occurs smoothly.
Starting Page	1
Ending Page	14
Page Count	14
File Format	PDF
ISSN	14346060
Journal	The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics
Volume Number	69
Issue Number	10
e-ISSN	14346079
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-10-13
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Quantum Optics Atomic, Molecular, Optical and Plasma Physics Physical Chemistry Quantum Physics Quantum Information Technology, Spintronics Spectroscopy/Spectrometry Nonlinear Dynamics
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics

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