On the Quantum Jarzynski Identity

Details On the Quantum Jarzynski Identity On the Quantum Jarzynski Identity

2007-06-13

arxiv.org/abs/0706.1994v1

J. Stat. Mech.: Theor. Exp. P10023 (9pp) (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

10.1088/1742-5468/2008/10/P10023

In this note, we will discuss how to compactly express and prove the Jarzynski identity for an open quantum system with dissipative dynamics. We will avoid explicitly measuring the work directly, which is tantamount to continuously monitoring the system, and instead measure the heat flow from the environment. We represent the measurement of heat flow with Hermitian map superoperators that act on the system density matrix. Hermitian maps provide a convenient and compact representation of sequential measurement and correlation functions.

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