Necessity of Feedback Control for the Quantum Maxwell Demon in a Finite-Time Steady Feedback Cycle

TL;DR

This paper demonstrates that feedback control is essential to violate the standard Clausius inequality in a quantum Maxwell demon operating in a finite-time steady feedback cycle, providing a tighter thermodynamic bound.

Contribution

It derives a generalized Clausius inequality for finite-time steady feedback cycles, clarifying the necessity of feedback control in quantum thermodynamics.

Findings

Derived a tighter generalized Clausius inequality for quantum feedback cycles.

Showed feedback control is necessary to violate the standard Clausius inequality.

Clarified thermodynamic bounds in quantum Maxwell demon systems.

Abstract

We revisit quantum Maxwell demon in thermodynamic feedback cycle in the steady-state regime. We derive a generalized version of the Clausius inequality for a finite-time steady feedback cycle with a single heat bath. It is shown to be tighter than previously known ones, and allows us to clarify that feedback control is necessary to violate the standard Clausius inequality.