Quantum phase transitions in nonhermitian harmonic oscillator

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50017330" target="_blank" >RIV/62690094:18470/20:50017330 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61389005:_____/20:00536543

Výsledek na webu

<a href="https://www.nature.com/articles/s41598-020-75468-w.pdf" target="_blank" >https://www.nature.com/articles/s41598-020-75468-w.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1038/s41598-020-75468-w" target="_blank" >10.1038/s41598-020-75468-w</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Quantum phase transitions in nonhermitian harmonic oscillator

Popis výsledku v původním jazyce

The Stone theorem requires that in a physical Hilbert space H the time-evolution of a stable quantum system is unitary if and only if the corresponding Hamiltonian H is self-adjoint. Sometimes, a simpler picture of the evolution may be constructed in a manifestly unphysical Hilbert space K in which H is nonhermitian but PT-symmetric. In applications, unfortunately, one only rarely succeeds in circumventing the key technical obstacle which lies in the necessary reconstruction of the physical Hilbert space H. For a PT-symmetric version of the spiked harmonic oscillator we show that in the dynamical regime of the unavoided level crossings such a reconstruction of H becomes feasible and, moreover, obtainable by non-numerical means. The general form of such a reconstruction of H enables one to render every exceptional unavoided-crossing point tractable as a genuine, phenomenologically most appealing quantum-phase-transition instant.

Název v anglickém jazyce

Quantum phase transitions in nonhermitian harmonic oscillator

Popis výsledku anglicky

The Stone theorem requires that in a physical Hilbert space H the time-evolution of a stable quantum system is unitary if and only if the corresponding Hamiltonian H is self-adjoint. Sometimes, a simpler picture of the evolution may be constructed in a manifestly unphysical Hilbert space K in which H is nonhermitian but PT-symmetric. In applications, unfortunately, one only rarely succeeds in circumventing the key technical obstacle which lies in the necessary reconstruction of the physical Hilbert space H. For a PT-symmetric version of the spiked harmonic oscillator we show that in the dynamical regime of the unavoided level crossings such a reconstruction of H becomes feasible and, moreover, obtainable by non-numerical means. The general form of such a reconstruction of H enables one to render every exceptional unavoided-crossing point tractable as a genuine, phenomenologically most appealing quantum-phase-transition instant.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Scientific reports

ISSN

2045-2322

e-ISSN

—

Svazek periodika

10

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

9

Strana od-do

"Article Number: 18523"

Kód UT WoS článku

000587657600019

EID výsledku v databázi Scopus

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