Interference in presence of Dissipation
arXiv:cond-mat/0602391 · doi:10.1103/PhysRevB.74.073104
Abstract
We study a particle on a ring in presence of various dissipative environments. We develop and solve a variational scheme assuming low frequency dominance. We analyze our solution within a renormalization group (RG) scheme to all orders which reproduces a 2 loop RG for the Caldeira-Legget environment. In the latter case the Aharonov-Bohm (AB) oscillation amplitude is exponential in -R^2 where R is the ring's radius. For either a charge or an electric dipole coupled to a dirty metal we find that the metal induces dissipation, however the AB amplitude is ~ R^{-2} for large R, as for free particles. Cold atoms with a large electric dipole may show a crossover between these two behaviors.
5 pages, added motivations and references
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Cited by in corpus (11)
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- Decoherence of a particle in a ring
- Fluctuations of persistent current
- Persistent currents in nanorings and quantum decoherence by Coulomb interaction
- Dephasing of a particle in a dissipative environment
- Renormalization of the dephasing by zero point fluctuations
- Rings and Coulomb boxes in dissipative environments
- Persistent current noise
- Persistent current noise in normal and superconducting nanorings