AffiliationUniv Arizona, Dept Math
MetadataShow full item record
PublisherAMER PHYSICAL SOC
CitationLindblad model of quantum Brownian motion 2016, 94 (4) Physical Review A
JournalPhysical Review A
Rights©2016 American Physical Society
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at email@example.com.
AbstractThe theory of quantum Brownian motion describes the properties of a large class of open quantum systems. Nonetheless, its description in terms of a Born-Markov master equation, widely used in the literature, is known to violate the positivity of the density operator at very low temperatures. We study an extension of existing models, leading to an equation in the Lindblad form, which is free of this problem. We study the dynamics of the model, including the detailed properties of its stationary solution, for both constant and position-dependent coupling of the Brownian particle to the bath, focusing in particular on the correlations and the squeezing of the probability distribution induced by the environment.
VersionFinal published version
SponsorsPrograma Masters d'Excel-lencia of the Fundacio Catalunya-La Pedrera; ERC; EU ; Fundacio Cellex; Spanish MINECO [SEV-2015-0522, FIS2013-46768]; Generalitat de Catalunya [SGR 874]; "Ramon y Cajal" fellowship; NSF [MS 131271]