Unitarity corridors to exceptional points

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F19%3A00509891" target="_blank" >RIV/61389005:_____/19:00509891 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1103/PhysRevA.100.032124" target="_blank" >https://doi.org/10.1103/PhysRevA.100.032124</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevA.100.032124" target="_blank" >10.1103/PhysRevA.100.032124</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Unitarity corridors to exceptional points

Popis výsledku v původním jazyce

Phenomenological quantum Hamiltonians H-(N)(lambda) = J((N)) + lambda V-(N) (lambda) representing a general real N-2-parametric perturbation of an exceptional-point-related unperturbed Jordan-block Hamiltonian J((N)) are considered. Tractable as non-Hermitian (in a preselected, unphysical Hilbert space) as well as, simultaneously, Hermitian (in another, 'physical' Hilbert space), these matrices may represent a unitary, closed quantum system if and only if the spectrum is real. At small A we show that the parameters are then confined to a 'stability corridor' S of the access to the extreme dynamical exceptional-point lambda -> 0 regime. The corridors are narrow and N-dependent: they are formed by multiscale perturbations which are small in physical Hilbert space, i.e., which are such that lambda V-j+k,j((N)) (lambda) = O (lambda((k+1)/2)) at k = 1, 2, ..., N - 1 and all j.

Název v anglickém jazyce

Unitarity corridors to exceptional points

Popis výsledku anglicky

Phenomenological quantum Hamiltonians H-(N)(lambda) = J((N)) + lambda V-(N) (lambda) representing a general real N-2-parametric perturbation of an exceptional-point-related unperturbed Jordan-block Hamiltonian J((N)) are considered. Tractable as non-Hermitian (in a preselected, unphysical Hilbert space) as well as, simultaneously, Hermitian (in another, 'physical' Hilbert space), these matrices may represent a unitary, closed quantum system if and only if the spectrum is real. At small A we show that the parameters are then confined to a 'stability corridor' S of the access to the extreme dynamical exceptional-point lambda -> 0 regime. The corridors are narrow and N-dependent: they are formed by multiscale perturbations which are small in physical Hilbert space, i.e., which are such that lambda V-j+k,j((N)) (lambda) = O (lambda((k+1)/2)) at k = 1, 2, ..., N - 1 and all j.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

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

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Physical Review A

ISSN

2469-9926

e-ISSN

—

Svazek periodika

100

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

9

Strana od-do

032124

Kód UT WoS článku

000488248700004

EID výsledku v databázi Scopus

2-s2.0-85072921563