Universal Irreversibility of Normal Quantum Diffusion

TL;DR

This paper demonstrates a universal quantum threshold in normal quantum diffusion systems, beyond which systems irreversibly lose memory, with time-reversal characteristics becoming system-independent.

Contribution

It reveals a universal irreversibility threshold in quantum diffusion, showing that diverse quantum systems exhibit identical time-reversal behavior past a certain quantum threshold.

Findings

Existence of a universal minimal quantum threshold for irreversibility

Time-reversal characteristics become system-independent beyond the threshold

Universal curves describe the asymptotic behavior of time-reversal deviations

Abstract

Time-reversibility measured by the deviation of the perturbed time-reversed motion from the unperturbed one is examined for normal quantum diffusion exhibited by four classes of quantum maps with contrastive physical nature. Irrespective of the systems, there exist a universal minimal quantum threshold above which the system completely loses the past memory, and the time-reversed dynamics as well as the time-reversal characteristics asymptotically trace universal curves independent of the details of the systems.