Uncertainty Relations for Mesoscopic Coherent Light

TL;DR

This paper extends thermodynamic uncertainty relations to zero-temperature quantum mesoscopic physics, linking fluctuations due to coherence with a new cost function that bounds these fluctuations, thus bridging non-equilibrium statistical physics and quantum mesoscopics.

Contribution

It introduces a novel cost function that bounds quantum fluctuations in mesoscopic systems, adapting thermodynamic uncertainty principles to zero-temperature quantum regimes.

Findings

Cost function bounds quantum fluctuations due to coherence.

Extension of uncertainty relations to zero-temperature quantum systems.

Potential to apply non-equilibrium statistical methods in quantum mesoscopics.

Abstract

Thermodynamic uncertainty relations unveil useful connections between fluctuations in thermal systems and entropy production. This work extends these ideas to the disparate field of \textit{zero temperature} quantum mesoscopic physics where fluctuations are due to coherent effects and entropy production is replaced by a cost function. The cost function arises naturally as a bound on fluctuations, induced by coherent effects -- a critical resource in quantum mesoscopic physics. Identifying the cost function as an important quantity demonstrates the potential of importing powerful methods from non-equilibrium statistical physics to quantum mesoscopics.