Loss, Gain, and Singular Points in Open Quantum Systems

Advances in Mathematical Physics. 2018;2018 DOI 10.1155/2018/3653851


Journal Homepage

Journal Title: Advances in Mathematical Physics

ISSN: 1687-9120 (Print); 1687-9139 (Online)

Publisher: Hindawi Limited

LCC Subject Category: Science: Physics

Country of publisher: United Kingdom

Language of fulltext: English

Full-text formats available: PDF, HTML, ePUB, XML



Hichem Eleuch (Institute for Quantum Science and Engineering, Texas A&M University, College Station, Texas 77843, USA)

Ingrid Rotter (Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany)


Blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 16 weeks


Abstract | Full Text

Non-Hermitian quantum physics is used successfully for the description of different puzzling experimental results, which are observed in open quantum systems. Mostly, the influence of exceptional points on the dynamical properties of the system is studied. At these points, two complex eigenvalues Ei≡Ei+iΓi/2 of the non-Hermitian Hamiltonian H coalesce (where Ei is the energy and Γi is the inverse lifetime of the state i). We show that also the eigenfunctions Φi of the two states play an important role, sometimes even the dominant one. Besides exceptional points, other critical points exist in non-Hermitian quantum physics. At these points a=acr in the parameter space, the biorthogonal eigenfunctions of H become orthogonal. For illustration, we show characteristic numerical results.