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Quantum Dynamics in Non-equilibrium Strongly Correlated Environments

arXiv:cond-mat/0207005 · doi:10.1103/PhysRevB.68.035101

Abstract

We consider a quantum point contact between two Luttinger liquids coupled to a mechanical system (oscillator). For non-vanishing bias, we find an effective oscillator temperature that depends on the Luttinger parameter. A generalized fluctuation-dissipation relation connects the decoherence and dissipation of the oscillator to the current-voltage characteristics of the device. Via a spectral representation, this result is generalized to arbitrary leads in a weak tunneling regime.

4 pages, 1 figure