Heat flow from a measurement apparatus monitoring a dissipative qubit

TL;DR

This paper studies the heat transfer dynamics between a dissipative qubit and a measurement apparatus, revealing that heat always flows into the qubit during continuous measurement, with bounds and transient behaviors analyzed.

Contribution

It introduces a detailed analysis of heat flow in a monitored qubit system, including bounds and transient dynamics, advancing understanding of quantum thermodynamics under measurement.

Findings

Heat always flows from the measurement apparatus into the qubit.

Derived bounds for the heat current between the apparatus and the qubit.

Analyzed transient heat dynamics and excess heat during non-steady states.

Abstract

We investigate the heat flow of a qubit coupled to heat baths under continuous quantum measurement. In the steady-state limit, we show that heat always flows from the measurement apparatus into the qubit regardless of the measured qubit state and derive lower and upper bounds for the heat current between the qubit and the measurement apparatus. Furthermore, we study the transient dynamics of the heat current and the excess heat during the transient regime.