On the Quantum Jarzynski Identity
arXiv:0706.1994 · doi:10.1088/1742-5468/2008/10/P10023
Abstract
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.
4 pages
References in corpus (12)
- A nonequilibrium equality for free energy differences
- Universal state inversion and concurrence in arbitrary dimensions
- Fluctuation theorems: Work is not an observable
- Classical and Quantum Fluctuation Theorems for Heat Exchange
- Path-integral analysis of fluctuation theorems for general Langevin processes
- The problem of equilibration and the computation of correlation functions on a quantum computer
- Fluctuation theorems for quantum master equations
- A quantum version of free energy - irreversible work relations
- Quantum work relations and response theory
- Fluctuation theorem for counting-statistics in electron transport through quantum junctions
- Unified Treatment of Quantum Fluctuation Theorem and Jarzynski Equality in Terms of microscopic reversibility
- Steady state fluctuations of the dissipated heat for a quantum stochastic model