Paths of unitary access to exceptional points

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F21%3A00548944" target="_blank" >RIV/61389005:_____/21:00548944 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1088/1742-6596/2038/1/012026" target="_blank" >http://dx.doi.org/10.1088/1742-6596/2038/1/012026</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1742-6596/2038/1/012026" target="_blank" >10.1088/1742-6596/2038/1/012026</a>

Result language

angličtina

Original language name

Paths of unitary access to exceptional points

Original language description

With an innovative idea of acceptability and usefulness of the non-Hermitian representations of Hamiltonians for the description of unitary quantum systems (dating back to the Dyson's papers), the community of quantum physicists was offered a new and powerful tool for the building of models of quantum phase transitions. In this paper the mechanism of such transitions is discussed from the point of view of mathematics. The emergence of the direct access to the instant of transition (i.e., to the Kato's exceptional point) is attributed to the underlying split of several roles played by the traditional single Hilbert space of states L into a triplet (viz., in our notation, spaces K and H besides the conventional L). Although this explains the abrupt, quantum-catastrophic nature of the change of phase (i.e., the loss of observability) caused by an infinitesimal change of parameters, the explicit description of the unitarity-preserving corridors of access to the phenomenologically relevant exceptional points remained unclear. In the paper some of the recent results in this direction are summarized and critically reviewed.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

Confidentiality

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

Article name in the collection

Journal of Physics: Conference Series

ISBN

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ISSN

1742-6588

e-ISSN

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Number of pages

18

Pages from-to

012026

Publisher name

IOP Publishing Ltd.

Place of publication

Bristol

Event location

London

Event date

Mar 5, 2020

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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