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Hermitian-to-quasi-Hermitian quantum phase transitions

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    0489297 - ÚJF 2019 RIV US eng J - Journal Article
    Znojil, Miloslav
    Hermitian-to-quasi-Hermitian quantum phase transitions.
    Physical Review A. Roč. 97, č. 4 (2018), č. článku 042117. ISSN 2469-9926
    R&D Projects: GA ČR GA16-22945S
    Institutional support: RVO:61389005
    Keywords : quantum phase transition * PT-symmetric * Herimiticity
    Subject RIV: BE - Theoretical Physics
    OBOR OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    Impact factor: 2.907, year: 2018

    The phenomenon of quantum phase transition is considered in the special case in which the evolution laws remain unitary and in which the bound-state energies remain observable. The conventional Hermiticity of observables is lost at the interface, replaced by the so-called quasi-Hermiticity. Several features of the passage of the system through the interface are discussed and illustrated by elementary illustrative PT-symmetric examples.
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