S-matrix pole symmetries for non-Hermitian scattering Hamiltonians

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dc.contributor.author Simon, M. A.
dc.contributor.author Buendi­a, A.
dc.contributor.author Kiely, Anthony
dc.contributor.author Mostafazadeh, Ali
dc.contributor.author Muga, Juan Gonzalo
dc.date.accessioned 2019-08-21T14:35:31Z
dc.date.available 2019-08-21T14:35:31Z
dc.date.issued 2019-05-13
dc.identifier.citation Simón, M. A., Buendía, A., Kiely, A., Mostafazadeh, A. and Muga, J. G. (2019) 'S-matrix pole symmetries for non-Hermitian scattering Hamiltonians', Physical Review A, 99(5), 052110 (12 pp). doi: 10.1103/PhysRevA.99.052110 en
dc.identifier.volume 99 en
dc.identifier.issued 5 en
dc.identifier.startpage 1 en
dc.identifier.endpage 12 en
dc.identifier.issn 1050-2947
dc.identifier.uri http://hdl.handle.net/10468/8371
dc.identifier.doi 10.1103/PhysRevA.99.052110 en
dc.description.abstract The complex eigenvalues of some non-Hermitian Hamiltonians, e.g., parity-time-symmetric Hamiltonians, come in complex-conjugate pairs. We show that for non-Hermitian scattering Hamiltonians (of a structureless particle in one dimension) possessing one of four certain symmetries, the poles of the S-matrix eigenvalues in the complex momentum plane are symmetric about the imaginary axis, i.e., they are complex-conjugate pairs on the complex-energy plane. This applies even to states which are not bounded eigenstates of the system, i.e., antibound or virtual states, resonances, and antiresonances. The four Hamiltonian symmetries are formulated as the commutation of the Hamiltonian with specific antilinear operators. Example potentials with such symmetries are constructed and their pole structures and scattering properties are calculated. en
dc.description.sponsorship Eusko Jaurlaritza (Basque Country Government (Grant No. IT986-16)); Ministerio de Economía, Industria y Competitividad, Gobierno de España (MINECO/FEDER,UE (Grant No. FIS2015-67161-P)); Türkiye Bilimler Akademisi (Turkish Academy of Sciences (Türkiye Bilimler Akademisi) through its membership grant) en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society en
dc.relation.uri https://link.aps.org/doi/10.1103/PhysRevA.99.052110
dc.rights © 2019 American Physical Society en
dc.subject Eigenvalues and eigenfunctions en
dc.subject Poles en
dc.subject Antilinear operators en
dc.subject Complex conjugates en
dc.subject Complex eigenvalues en
dc.subject Imaginary axis en
dc.subject Non-Hermitian Hamiltonians en
dc.subject Pole structures en
dc.subject Scattering property en
dc.subject Structureless particles en
dc.subject Hamiltonians en
dc.title S-matrix pole symmetries for non-Hermitian scattering Hamiltonians en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Anthony Kiely, Physics, University College Cork, Cork, Ireland. +353-21-490-3000 Email: anthony.kiely@ucc.ie en
dc.internal.availability Full text available en
dc.date.updated 2019-08-21T14:27:08Z
dc.description.version Published Version en
dc.internal.rssid 497448029
dc.contributor.funder Eusko Jaurlaritza en
dc.contributor.funder Ministerio de Economía, Industria y Competitividad, Gobierno de España en
dc.contributor.funder Türkiye Bilimler Akademisi en
dc.description.status Peer reviewed en
dc.identifier.journaltitle Physical Review A en
dc.internal.copyrightchecked No
dc.internal.licenseacceptance Yes en
dc.internal.IRISemailaddress anthony.kiely@ucc.ie en

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