Spectrum and normal modes of non-hermitian quadratic boson operators
- Autores
- Garcia, Javier; Rossignoli, Raúl Dante
- Año de publicación
- 2017
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión enviada
- Descripción
- We analyze the spectrum and normal mode representation of general quadratic bosonic formsHnot necessarily hermitian. It is shown that in the one-dimensional case such forms exhibit either an harmonic regime where bothHandH^†have a discrete spectrum with biorthogonal eigenstates, and a coherent-like regime where eitherHorH†have a continuous complex two-fold degenerate spectrum, while its adjoint has no convergent eigenstates. These regimes reflect the nature of the pertinent normal boson operators. Non-diagonalizable cases as well critical boundary sectors separating these regimes are also analyzed. The extension toN-dimensional quadratic systems is as well discussed.
- Materia
-
Ciencias Naturales y Exactas
Non-hermitian boson operators
PT-symmetry
normal modes - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-nd/4.0/
- Repositorio
.jpg)
- Institución
- Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
- OAI Identificador
- oai:digital.cic.gba.gob.ar:11746/10011
Ver los metadatos del registro completo
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Spectrum and normal modes of non-hermitian quadratic boson operatorsGarcia, JavierRossignoli, Raúl DanteCiencias Naturales y ExactasNon-hermitian boson operatorsPT-symmetrynormal modesWe analyze the spectrum and normal mode representation of general quadratic bosonic formsHnot necessarily hermitian. It is shown that in the one-dimensional case such forms exhibit either an harmonic regime where bothHandH^†have a discrete spectrum with biorthogonal eigenstates, and a coherent-like regime where eitherHorH†have a continuous complex two-fold degenerate spectrum, while its adjoint has no convergent eigenstates. These regimes reflect the nature of the pertinent normal boson operators. Non-diagonalizable cases as well critical boundary sectors separating these regimes are also analyzed. The extension toN-dimensional quadratic systems is as well discussed.2017-12-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttps://digital.cic.gba.gob.ar/handle/11746/10011enginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.96.062130info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/reponame:CIC Digital (CICBA)instname:Comisión de Investigaciones Científicas de la Provincia de Buenos Airesinstacron:CICBA2025-10-23T11:14:20Zoai:digital.cic.gba.gob.ar:11746/10011Institucionalhttp://digital.cic.gba.gob.arOrganismo científico-tecnológicoNo correspondehttp://digital.cic.gba.gob.ar/oai/snrdmarisa.degiusti@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:94412025-10-23 11:14:20.957CIC Digital (CICBA) - Comisión de Investigaciones Científicas de la Provincia de Buenos Airesfalse |
| dc.title.none.fl_str_mv |
Spectrum and normal modes of non-hermitian quadratic boson operators |
| title |
Spectrum and normal modes of non-hermitian quadratic boson operators |
| spellingShingle |
Spectrum and normal modes of non-hermitian quadratic boson operators Garcia, Javier Ciencias Naturales y Exactas Non-hermitian boson operators PT-symmetry normal modes |
| title_short |
Spectrum and normal modes of non-hermitian quadratic boson operators |
| title_full |
Spectrum and normal modes of non-hermitian quadratic boson operators |
| title_fullStr |
Spectrum and normal modes of non-hermitian quadratic boson operators |
| title_full_unstemmed |
Spectrum and normal modes of non-hermitian quadratic boson operators |
| title_sort |
Spectrum and normal modes of non-hermitian quadratic boson operators |
| dc.creator.none.fl_str_mv |
Garcia, Javier Rossignoli, Raúl Dante |
| author |
Garcia, Javier |
| author_facet |
Garcia, Javier Rossignoli, Raúl Dante |
| author_role |
author |
| author2 |
Rossignoli, Raúl Dante |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Ciencias Naturales y Exactas Non-hermitian boson operators PT-symmetry normal modes |
| topic |
Ciencias Naturales y Exactas Non-hermitian boson operators PT-symmetry normal modes |
| dc.description.none.fl_txt_mv |
We analyze the spectrum and normal mode representation of general quadratic bosonic formsHnot necessarily hermitian. It is shown that in the one-dimensional case such forms exhibit either an harmonic regime where bothHandH^†have a discrete spectrum with biorthogonal eigenstates, and a coherent-like regime where eitherHorH†have a continuous complex two-fold degenerate spectrum, while its adjoint has no convergent eigenstates. These regimes reflect the nature of the pertinent normal boson operators. Non-diagonalizable cases as well critical boundary sectors separating these regimes are also analyzed. The extension toN-dimensional quadratic systems is as well discussed. |
| description |
We analyze the spectrum and normal mode representation of general quadratic bosonic formsHnot necessarily hermitian. It is shown that in the one-dimensional case such forms exhibit either an harmonic regime where bothHandH^†have a discrete spectrum with biorthogonal eigenstates, and a coherent-like regime where eitherHorH†have a continuous complex two-fold degenerate spectrum, while its adjoint has no convergent eigenstates. These regimes reflect the nature of the pertinent normal boson operators. Non-diagonalizable cases as well critical boundary sectors separating these regimes are also analyzed. The extension toN-dimensional quadratic systems is as well discussed. |
| publishDate |
2017 |
| dc.date.none.fl_str_mv |
2017-12-26 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
| format |
article |
| status_str |
submittedVersion |
| dc.identifier.none.fl_str_mv |
https://digital.cic.gba.gob.ar/handle/11746/10011 |
| url |
https://digital.cic.gba.gob.ar/handle/11746/10011 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.96.062130 |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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openAccess |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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application/pdf |
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