Basic properties of nonlinear stochastic Schrodinger equations driven by Brownian motions

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dc.contributor.authorMora, Carlos M.
dc.contributor.authorRebolledo, Rolando
dc.date.accessioned2024-01-10T13:11:24Z
dc.date.available2024-01-10T13:11:24Z
dc.date.issued2008
dc.description.abstractThe paper is devoted to the study of nonlinear stochastic Schrodinger equations driven by standard cylindrical Brownian motions (NSSEs) arising from the unraveling of quantum master equations. Under the Born-Markov approximations, this class of stochastic evolutions equations on Hilbert spaces provides characterizations of both continuous quantum measurement processes and the evolution of quantum systems. First, we deal with the existence and uniqueness of regular solutions to NSSEs. Second, we provide two general criteria for the existence of regular invariant measures for NSSEs. We apply our results to a forced and damped quantum oscillator.
dc.fechaingreso.objetodigital2024-05-15
dc.format.extent29 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1214/105051607000000311
dc.identifier.issn1050-5164
dc.identifier.urihttps://doi.org/10.1214/105051607000000311
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78041
dc.identifier.wosidWOS:000254865500008
dc.information.autorucMatemática;Rebolledo R;S/I;99203
dc.issue.numero2
dc.language.isoen
dc.nota.accesocontenido completo
dc.pagina.final619
dc.pagina.inicio591
dc.publisherINST MATHEMATICAL STATISTICS
dc.revistaANNALS OF APPLIED PROBABILITY
dc.rightsacceso abierto
dc.subjectnonlinear stochastic Schrodinger equations
dc.subjectregular invariant measures
dc.subjectexistence and uniqueness of solutions
dc.subjectquantum mechanics
dc.subjectstochastic evolution equations
dc.subjectQUANTUM-STATE DIFFUSION
dc.subjectDIFFERENTIAL-EQUATIONS
dc.subjectSEMIGROUPS
dc.subjectLOCALIZATION
dc.subject.ods09 Industry, Innovation and Infrastructure
dc.subject.odspa09 Industria, innovación e infraestructura
dc.titleBasic properties of nonlinear stochastic Schrodinger equations driven by Brownian motions
dc.typeartículo
dc.volumen18
sipa.codpersvinculados99203
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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