Quantum Dynamics in Non-equilibrium Strongly Correlated Environments

TL;DR

This paper investigates the behavior of a quantum oscillator coupled to Luttinger liquids under bias, revealing how the environment's correlations influence oscillator temperature and decoherence, with implications for quantum transport.

Contribution

It introduces a model connecting quantum point contacts with mechanical oscillators in strongly correlated environments, deriving a generalized fluctuation-dissipation relation.

Findings

Effective oscillator temperature depends on the Luttinger parameter.

A generalized fluctuation-dissipation relation links decoherence to current-voltage characteristics.

Results extend to arbitrary leads in weak tunneling regimes.

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.