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dc.contributor.authorAgarwal, Kaustubh S.
dc.contributor.authorMuldoon, Jacob
dc.contributor.authorJoglekar, Yogesh N.
dc.date.accessioned2022-05-04T12:03:42Z
dc.date.available2022-05-04T12:03:42Z
dc.date.issued2022
dc.identifier.citationActa Polytechnica. 2022, vol. 62, no. 1, p. 1-7.
dc.identifier.issn1210-2709 (print)
dc.identifier.issn1805-2363 (online)
dc.identifier.urihttp://hdl.handle.net/10467/100636
dc.description.abstractOpen classical and quantum systems have attracted great interest in the past two decades. These include systems described by non-Hermitian Hamiltonians with parity-time (PT) symmetry that are best understood as systems with balanced, separated gain and loss. Here, we present an alternative way to characterize and derive conserved quantities, or intertwining operators, in such open systems. As a consequence, we also obtain non-Hermitian or Hermitian operators whose expectations values show single exponential time dependence. By using a simple example of a PT-symmetric dimer that arises in two distinct physical realizations, we demonstrate our procedure for static Hamiltonians and generalize it to time-periodic (Floquet) cases where intertwining operators are stroboscopically conserved. Inspired by the Lindblad density matrix equation, our approach provides a useful additionto the well-established methods for characterizing time-invariants in non-Hermitian systems.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherČeské vysoké učení technické v Prazecs
dc.publisherCzech Technical University in Pragueen
dc.relation.ispartofseriesActa Polytechnica
dc.relation.urihttps://ojs.cvut.cz/ojs/index.php/ap/article/view/7738
dc.rightsCreative Commons Attribution 4.0 International Licenseen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.titleConserved quantities in non-hermitian systems via vectorization method
dc.typearticleen
dc.date.updated2022-05-04T12:03:43Z
dc.identifier.doi10.14311/AP.2022.62.0001
dc.rights.accessopenAccess
dc.type.statusPeer-reviewed
dc.type.versionpublishedVersion


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Creative Commons Attribution 4.0 International License
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