Fluctuation theorems in presence of information gain and feedback

TL;DR

This paper extends classical and quantum fluctuation theorems to include feedback and information gain, considering open quantum systems with classical measurement errors, without assumptions on environment or coupling strength.

Contribution

It provides a unified derivation of extended fluctuation theorems for classical and quantum systems with feedback, broadening their applicability.

Findings

Reproduces known classical fluctuation theorems with feedback.

Extends fluctuation theorems to open quantum systems with classical measurement errors.

No assumptions on environment or system-bath coupling strength.

Abstract

In this study, we rederive the fluctuation theorems in presence of feedback, by assuming the known Jarzynski equality and detailed fluctuation theorems. We first reproduce the already known work theorems for a classical system, and then extend the treatment to the other classical theorems. For deriving the extended quantum fluctuation theorems, we have considered open systems. No assumption is made on the nature of environment and the strength of system-bath coupling. However, it is assumed that the measurement process involves classical errors.