On the Jarzynski relation for dissipative quantumdynamics

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In this note, we will discuss how to compactly express the Jarzynski identity for an open quantum system with dissipative dynamics. In quantum dynamics we must avoid explicitly measuring the work directly, which is tantamount to continuously monitoring the state of the system, and instead measure the heat ?ow from the environment. These measurements can be concisely represented with Hermitian map superoperators, which provide a convenient and compact representations of correlation functions and sequential measurements of quantum systems.

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Crooks, Gavin E October 30, 2008.

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Description

In this note, we will discuss how to compactly express the Jarzynski identity for an open quantum system with dissipative dynamics. In quantum dynamics we must avoid explicitly measuring the work directly, which is tantamount to continuously monitoring the state of the system, and instead measure the heat ?ow from the environment. These measurements can be concisely represented with Hermitian map superoperators, which provide a convenient and compact representations of correlation functions and sequential measurements of quantum systems.

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8

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  • Journal Name: Journal of Statistical Physics

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  • Report No.: LBNL-1234E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 943971
  • Archival Resource Key: ark:/67531/metadc894246

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  • October 30, 2008

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  • Sept. 27, 2016, 1:39 a.m.

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  • Sept. 30, 2016, 6:49 p.m.

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Crooks, Gavin E. On the Jarzynski relation for dissipative quantumdynamics, article, October 30, 2008; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc894246/: accessed August 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.