Von Neumann and Shannon-Wehrl entropy for squeezed states and cosmological particle production

We show that the effective coarse graining of a two-mode squeezed density matrix, implicit in the Wehrl approaches to a semiclassical phase-space distribution, leads to results in agreement with previous different definitions of entropy for the process of pair production from the vacuum. We also pre...

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Detalles Bibliográficos
Autores principales: Gasperini, M., Giovannini, Massimo
Lenguaje:eng
Publicado: 1995
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1142/9789814528689_0008
http://cds.cern.ch/record/277202
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author Gasperini, M.
Giovannini, Massimo
author_facet Gasperini, M.
Giovannini, Massimo
author_sort Gasperini, M.
collection CERN
description We show that the effective coarse graining of a two-mode squeezed density matrix, implicit in the Wehrl approaches to a semiclassical phase-space distribution, leads to results in agreement with previous different definitions of entropy for the process of pair production from the vacuum. We also present, in this context, a possible interpretation of the entropy growth as an amplification (due to the squeezing) of our lack of knowledge about the initial conditions, which gives rise to an effective decoherence of the squeezed density matrix.
id cern-277202
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
record_format invenio
spelling cern-2772022023-03-14T18:56:22Zdoi:10.1142/9789814528689_0008http://cds.cern.ch/record/277202engGasperini, M.Giovannini, MassimoVon Neumann and Shannon-Wehrl entropy for squeezed states and cosmological particle productionParticle Physics - TheoryWe show that the effective coarse graining of a two-mode squeezed density matrix, implicit in the Wehrl approaches to a semiclassical phase-space distribution, leads to results in agreement with previous different definitions of entropy for the process of pair production from the vacuum. We also present, in this context, a possible interpretation of the entropy growth as an amplification (due to the squeezing) of our lack of knowledge about the initial conditions, which gives rise to an effective decoherence of the squeezed density matrix.hep-th/9502112CERN-TH-95-37CERN-TH-95-037DFTT-14-95CERN-TH-95-37DFTT-95-14oai:cds.cern.ch:2772021995-02-17
spellingShingle Particle Physics - Theory
Gasperini, M.
Giovannini, Massimo
Von Neumann and Shannon-Wehrl entropy for squeezed states and cosmological particle production
title Von Neumann and Shannon-Wehrl entropy for squeezed states and cosmological particle production
title_full Von Neumann and Shannon-Wehrl entropy for squeezed states and cosmological particle production
title_fullStr Von Neumann and Shannon-Wehrl entropy for squeezed states and cosmological particle production
title_full_unstemmed Von Neumann and Shannon-Wehrl entropy for squeezed states and cosmological particle production
title_short Von Neumann and Shannon-Wehrl entropy for squeezed states and cosmological particle production
title_sort von neumann and shannon-wehrl entropy for squeezed states and cosmological particle production
topic Particle Physics - Theory
url https://dx.doi.org/10.1142/9789814528689_0008
http://cds.cern.ch/record/277202
work_keys_str_mv AT gasperinim vonneumannandshannonwehrlentropyforsqueezedstatesandcosmologicalparticleproduction
AT giovanninimassimo vonneumannandshannonwehrlentropyforsqueezedstatesandcosmologicalparticleproduction

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