Anomalous real spectra of non-Hermitian quantum graphs in a strong-coupling regime

Result code in IS VaVaI

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Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Anomalous real spectra of non-Hermitian quantum graphs in a strong-coupling regime

Original language description

A family of one-dimensional quantum systems described by certain weakly non-Hermitian Hamiltonians with real spectra is studied. The presence of a microscopic spatial defect (i.e. of a fundamental length scale theta > 0) is mimicked by the replacement ofthe real line of coordinates R by a non-tree graph. By construction, this graph only differs from R on a small interval of size O(theta). An unexpected return of the reality of the whole spectrum in an anomalous strong-coupling regime (i.e. the emergence of an isolated island of stability of the system) is then revealed, proved and tentatively attributed to the topological nontriviality of the graph.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Physics A-Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

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Volume of the periodical

43

Issue of the periodical within the volume

33

Country of publishing house

GB - UNITED KINGDOM

Number of pages

14

Pages from-to

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UT code for WoS article

000280513200014

EID of the result in the Scopus database

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