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Interference in presence of Dissipation

Baruch Horovitz·Pierre Le Doussal
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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.

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Baruch Horovitz, Pierre Le Doussal. 2006-06-06. Interference in presence of Dissipation. https://doi.org/10.1103/physrevb.74.073104

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