Low temperature properties of a quantum particle coupled to dissipative environments

Details Low temperature properties of a quantum particle coupled to dissipative environments Low temperature properties of a quantum particle coupled to dissipative environments

2002-07-16

arxiv.org/abs/cond-mat/0207381v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages

Scientific paper

10.1103/PhysRevB.67.045103

We study the dynamics of a quantum particle coupled to dissipative (ohmic) environments, such as an electron liquid. For some choices of couplings, the properties of the particle can be described in terms of an effective mass. A particular case is the three dimensional dirty electron liquid. In other environments, like the one described by the Caldeira-Leggett model, the effective mass diverges at low temperatures, and quantum effects are strongly suppressed. For interactions within this class, arbitrarily weak potentials lead to localized solutions. Particles bound to external potentials, or moving in closed orbits, can show a first order transition, between strongly and weakly localized regimes.

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