Work distribution and fluctuation theorem in AdS/CFT

TL;DR

This paper develops a holographic approach to the work distribution in quantum systems using AdS/CFT correspondence, deriving a bulk dual and a fluctuation theorem, which may reveal mesoscopic features of quantum gravity.

Contribution

It introduces a bulk dual of the boundary work distribution and formulates a holographic version of the Tasaki-Crooks fluctuation theorem, linking quantum thermodynamics and gravity.

Findings

Derived a bulk dual of the boundary work distribution.

Formulated a holographic Tasaki-Crooks fluctuation theorem.

Proposed that this captures mesoscopic quantum gravity aspects.

Abstract

From the AdS/CFT dictionary, we derive a bulk dual of the work distribution defined by the two-point measurement on the boundary, yielding a bulk formulation of the Tasaki-Crooks fluctuation theorem. We argue that this not only provides a holographic prescription of the work distribution, but is also expected to capture some "mesoscopic" aspects of quantum gravity.