Berry phase with environment: classical versus quantum

dc.creatorWhitney, Robert S.
dc.creatorMakhlin, Yuriy
dc.creatorShnirman, Alexander
dc.creatorGefen, Yuval
dc.date2004-01-21
dc.date.accessioned2026-07-07T12:48:14Z
dc.date.available2026-07-07T12:48:14Z
dc.descriptionWe discuss the concept of the Berry phase in a dissipative system. We show that one can identify a Berry phase in a weakly-dissipative system and find the respective correction to this quantity, induced by the environment. This correction is expressed in terms of the symmetrized noise power and is therefore insensitive to the nature of the noise representing the environment, namely whether it is classical or quantum mechanical. It is only the spectrum of the noise which counts. We analyze a model of a spin-half (qubit) anisotropically coupled to its environment and explicitly show the coincidence between the effect of a quantum environment and a classical one.
dc.descriptionprepared for proceedings of the NATO ARW on Theory of Quantum Transport in Metallic and Hybrid Nanostructures, St. Petersburg, August 2003. Talk presented by Y. Gefen
dc.identifierhttps://arxiv.org/abs/cond-mat/0401376
dc.identifierhttp://arxiv.org/abs/cond-mat/0401376
dc.identifierNATO science series II: mathematics, physics and chemistry, 230, 9 (2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221986
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Physics
dc.titleBerry phase with environment: classical versus quantum
dc.typetext

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