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Article: Density matrix negativity for two oscillators in an Agarwal bath

TitleDensity matrix negativity for two oscillators in an Agarwal bath
Authors
KeywordsPhysics
Issue Date2002
PublisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.org
Citation
Physical Review E - Statistical, Nonlinear, And Soft Matter Physics, 2002, v. 65 n. 5, p. 056120/1-056120/15 How to Cite?
AbstractA system of two harmonic oscillators is placed in an Agarwal bath. The resulting quantum master equations are studied with the help of quantum characteristic functions. The density matrix positivity is investigated in view of the recent interest in searching for a sound quantum dissipation theory. An analytical criterion is derived for density matrix negativity for two uncoupled oscillators. It is found that, for an initial two-oscillator squeezed state with a real squeezing parameter s, density matrix negativity occurs for two uncoupled oscillators at temperatures lower than ℏω/(kB In coth|s|) with ω the oscillator frequency and kB the Boltzmann factor. As a by-product an analytical expression is also obtained for determining the quantum separability of two uncoupled oscillators. The effects of interoscillator coupling on density matrix negativity are discussed. © 2002 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/42633
ISSN
2014 Impact Factor: 2.288
2015 SCImago Journal Rankings: 0.999
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhao, Yen_HK
dc.contributor.authorChen, GHen_HK
dc.date.accessioned2007-03-23T04:28:25Z-
dc.date.available2007-03-23T04:28:25Z-
dc.date.issued2002en_HK
dc.identifier.citationPhysical Review E - Statistical, Nonlinear, And Soft Matter Physics, 2002, v. 65 n. 5, p. 056120/1-056120/15en_HK
dc.identifier.issn1539-3755en_HK
dc.identifier.urihttp://hdl.handle.net/10722/42633-
dc.description.abstractA system of two harmonic oscillators is placed in an Agarwal bath. The resulting quantum master equations are studied with the help of quantum characteristic functions. The density matrix positivity is investigated in view of the recent interest in searching for a sound quantum dissipation theory. An analytical criterion is derived for density matrix negativity for two uncoupled oscillators. It is found that, for an initial two-oscillator squeezed state with a real squeezing parameter s, density matrix negativity occurs for two uncoupled oscillators at temperatures lower than ℏω/(kB In coth|s|) with ω the oscillator frequency and kB the Boltzmann factor. As a by-product an analytical expression is also obtained for determining the quantum separability of two uncoupled oscillators. The effects of interoscillator coupling on density matrix negativity are discussed. © 2002 The American Physical Society.en_HK
dc.format.extent178424 bytes-
dc.format.extent26112 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.orgen_HK
dc.relation.ispartofPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsen_HK
dc.rightsPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics). Copyright © American Physical Society.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectPhysicsen_HK
dc.titleDensity matrix negativity for two oscillators in an Agarwal bathen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1539-3755&volume=65&issue=5&spage=056120:1&epage=15&date=2002&atitle=Density+matrix+negativity+for+two+oscillators+in+an+Agarwal+bathen_HK
dc.identifier.emailChen, GH:ghc@yangtze.hku.hken_HK
dc.identifier.authorityChen, GH=rp00671en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1103/PhysRevE.65.056120en_HK
dc.identifier.scopuseid_2-s2.0-33646966338en_HK
dc.identifier.hkuros73747-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33646966338&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume65en_HK
dc.identifier.issue5en_HK
dc.identifier.spage056120/1en_HK
dc.identifier.epage056120/15en_HK
dc.identifier.isiWOS:000176552500036-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridZhao, Y=8579132600en_HK
dc.identifier.scopusauthoridChen, GH=35253368600en_HK

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