Modulated two-level system : Exact work statistics

TL;DR

This paper derives exact analytical expressions for work statistics in a driven two-level quantum system, demonstrating a fluctuation theorem and analyzing different rate types.

Contribution

It provides the first exact solutions for work statistics in a modulated two-level system with various rate dynamics.

Findings

Work fluctuation theorem is validated.

Explicit formulas for work generating and large deviation functions are obtained.

Different rate types influence work statistics distinctly.

Abstract

We consider an open two-level system driven by a piecewise constant periodic field and described by a rate equation with Fermi, Bose and Arrhenious rates respectively. We derive an analytical expression for the generating function and large deviation function of the work performed by the field and show that a work fluctuation theorem holds.