Quantum Dynamics in Non-equilibrium Strongly Correlated Environments

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

References in corpus (3)

• Manipulating the Quantum State of an Electrical Circuit
• Measurement induced quantum-classical transition
• Full Frequency Back-Action Spectrum of a Single Electron Transistor during Qubit read-out

Cited by in corpus (9)

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• Quantum Brownian Motion of a Macroscopic Object in a General Environment
• Quantum Metrology in Correlated Environments
• Spin-Orbit Scattering and Time-Reversal Symmetry: Detection of a Spin by Tunneling
• A Chain-Boson Model for the Decoherence and Relaxation of a Few Coupled SQUIDs in a Phonon Bath