Geometric nature of the environment-induced Berry phase and geometric dephasing

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dc.creatorWhitney, Robert S.
dc.creatorMakhlin, Yuriy
dc.creatorShnirman, Alexander
dc.creatorGefen, Yuval
dc.date2004-05-12
dc.date2005-01-26
dc.date.accessioned2026-07-07T02:58:08Z
dc.date.available2026-07-07T02:58:08Z
dc.descriptionWe investigate the geometric phase or Berry phase (BP) acquired by a spin-half which is both subject to a slowly varying magnetic field and weakly-coupled to a dissipative environment (either quantum or classical). We study how this phase is modified by the environment and find that the modification is of a geometric nature. While the original BP (for an isolated system) is the flux of a monopole-field through the loop traversed by the magnetic field, the environment-induced modification of the BP is the flux of a quadrupole-like field. We find that the environment-induced phase is complex, and its imaginary part is a geometric contribution to dephasing. Its sign depends on the direction of the loop. Unlike the BP, this geometric dephasing is gauge invariant for open paths of the magnetic field.
dc.descriptionnew version : more discussion and less technicalities (4pages 2fig)
dc.identifierhttps://arxiv.org/abs/cond-mat/0405267
dc.identifierhttp://arxiv.org/abs/cond-mat/0405267
dc.identifierPhys. Rev. Lett. 94, 070407 (2005)
dc.identifierdoi:10.1103/PhysRevLett.94.070407
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23952
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Physics
dc.titleGeometric nature of the environment-induced Berry phase and geometric dephasing
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