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Excited-state quantum phase transitions studied from a non-Hermitian perspective

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389021%3A_____%2F17%3A00494834" target="_blank" >RIV/61389021:_____/17:00494834 - isvavai.cz</a>

  • Alternative codes found

    RIV/68378271:_____/17:00487461

  • Result on the web

    <a href="https://link.aps.org/accepted/10.1103/PhysRevA.95.010103" target="_blank" >https://link.aps.org/accepted/10.1103/PhysRevA.95.010103</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1103/PhysRevA.95.010103" target="_blank" >10.1103/PhysRevA.95.010103</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Excited-state quantum phase transitions studied from a non-Hermitian perspective

  • Original language description

    A main distinguishing feature of non-Hermitian quantum mechanics is the presence of exceptional points (EPs). They correspond to the coalescence of two energy levels and their respective eigenvectors. Here, we use the Lipkin-Meshkov-Glick (LMG) model as a test bed to explore the strong connection between EPs and the onset of excited state quantum phase transitions (ESQPTs). We show that for finite systems, the exact degeneracies (EPs) obtained with the non-Hermitian LMG Hamiltonian continued into the complex plane are directly linked with the avoided crossings that characterize the ESQPTs for the real (physical) LMG Hamiltonian. The values of the complex control parameter alpha that lead to the EPs approach the real axis as the system size N -> infinity. This happens for both the EPs that are close to the separatrix that marks the ESQPT and also for those that are far away, although in the latter case, the convergence rate is smaller. With the method of Pade approximants, we can extract the critical value of alpha.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

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

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Physical Review A

  • ISSN

    2469-9926

  • e-ISSN

  • Volume of the periodical

    95

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    5

  • Pages from-to

  • UT code for WoS article

    000398367800001

  • EID of the result in the Scopus database

    2-s2.0-85011655153