Analysis of the conditional average and conditional variance of dissipated energy in the driven spin-boson model

TL;DR

This paper analyzes the conditional average and variance of dissipated energy in a driven spin-boson system, revealing how specific state selections can enhance energy emission while reducing noise.

Contribution

It introduces a measurement protocol for the driven spin-boson model to study conditional energy statistics and identifies conditions for enhanced energy emission with noise suppression.

Findings

Conditional average of dissipated energy compared to fluctuation relation bounds

Special state selection enhances energy emission

Noise suppression at specific driving times

Abstract

We investigate the conditional average and the conditional variance of dissipated energy considering, as a prototypical example, a driven spin-boson system. We follow a measurement protocol in which the spin is prepared in a certain initial state before undergoing a periodic driving. Subsequently, the spin is projected onto a post-selected final state. We compare the conditional average of dissipated energy to the lower bound which directly follows from the well known fluctuation relations. We further report that a special selection of the initial (pre-selected) and final (post-selected) spin states leads to an enhanced energy emission with simultaneous noise suppression at driving times of order of the relaxation time.