Spectrum and normal modes of non-hermitian quadratic boson operators

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...

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Detalles Bibliográficos
Autores principales: García, Javier, Rossignoli, Raúl
Formato: Articulo Preprint
Lenguaje:Español
Publicado: 2017
Materias:
Ciencias Exactas
Non-hermitian boson operators
PT-symmetry
normal modes
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/75424
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-75424
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Ciencias Exactas
Non-hermitian boson operators
PT-symmetry
normal modes
spellingShingle Ciencias Exactas
Non-hermitian boson operators
PT-symmetry
normal modes
García, Javier
Rossignoli, Raúl
Spectrum and normal modes of non-hermitian quadratic boson operators
topic_facet Ciencias Exactas
Non-hermitian boson operators
PT-symmetry
normal modes
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.
format Articulo
Preprint
author García, Javier
Rossignoli, Raúl
author_facet García, Javier
Rossignoli, Raúl
author_sort García, Javier
title Spectrum and normal modes of non-hermitian quadratic boson operators
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
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/75424
work_keys_str_mv AT garciajavier spectrumandnormalmodesofnonhermitianquadraticbosonoperators
AT rossignoliraul spectrumandnormalmodesofnonhermitianquadraticbosonoperators
bdutipo_str Repositorios
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