Characteristic Time and Maximum Mixedness: Single Mode Gaussian States in Dissipative Channels

TL;DR

This paper establishes an upper limit for the mixedness of single-mode Gaussian states in dissipative channels, linking it to initial conditions, and identifies the quantum-classical transition point via entropy maximization.

Contribution

It introduces a new upper bound for mixedness based on initial squeezing and channel temperature, and correlates entropy maximum with coherence loss in dissipative quantum systems.

Findings

Upper limit for mixedness derived

Quantum-classical transition identified at entropy maximum

Coherence loss coincides with maximum von Neumann entropy

Abstract

We derive an upper limit for the mixedness of single bosonic mode gaussian states propagating in dissipative channels. It is a function of the initial squeezing and temperature of the channel only. Moreover the time at which von Neumann's entropy reaches its maximum value coincides with that of complete loss of coherence, thus defining a quantum-classical transition.