Fluctuation-dissipation relations for continuous quantum measurements

TL;DR

This paper derives fluctuation-dissipation relations for continuous quantum measurements, linking statistical properties of observations to fundamental quantum dynamics, and explores their implications for system interactions.

Contribution

It introduces a generating functional for fluctuation-dissipation relations in continuous quantum measurements, connecting microscopic reversibility to observable statistical characteristics.

Findings

Derived a generating functional for fluctuation-dissipation relations.

Connected these relations to stochastic representations of system interactions.

Explored implications for quantum measurement processes.

Abstract

The generating functional is derived for the fluctuation-dissipation relations which result from the unitarity and reversibility of microscopic dynamics and connect various statistical characteristics of many consecutive (continuous) observations in a quantum system subjected to external perturbations. Consequences of these relations in respect to the earlier suggested stochastic representation of interaction between two systems are considered.