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Jarzynski Equality for Driven Quantum Field Theories

Bartolotta, Anthony and Deffner, Sebastian (2018) Jarzynski Equality for Driven Quantum Field Theories. Physical Review X, 8 (1). Art. No. 011033. ISSN 2160-3308. https://resolver.caltech.edu/CaltechAUTHORS:20171004-141155572

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Abstract

The fluctuation theorems, and in particular, the Jarzynski equality, are the most important pillars of modern nonequilibrium statistical mechanics. We extend the quantum Jarzynski equality together with the two-time measurement formalism to their ultimate range of validity—to quantum field theories. To this end, we focus on a time-dependent version of scalar ϕ^4. We find closed-form expressions for the resulting work distribution function, and we find that they are proper physical observables of the quantum field theory. Also, we show explicitly that the Jarzynski equality and Crooks fluctuation theorems hold at one-loop order independent of the renormalization scale. As a numerical case study, we compute the work distributions for an infinitely smooth protocol in the ultrarelativistic regime. In this case, it is found that work done through processes with pair creation is the dominant contribution.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevX.8.011033DOIArticle
https://journals.aps.org/prx/abstract/10.1103/PhysRevX.8.011033PublisherArticle
http://arxiv.org/abs/1710.00829arXivDiscussion Paper
Additional Information:© 2018 The Author(s). Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Received 13 October 2017; revised manuscript received 8 December 2017; published 27 February 2018. The authors would like to thank the stimulating environment provided by the Telluride Science Research Center, where this project was conceived. A. B. would like to thank Mark Wise and Sean Carroll for helpful discussions on time-dependent field theory. A. B. acknowledges support from the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632. S. D. acknowledges support from the U.S. National Science Foundation under Grant No. CHE-1648973.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
NSFCHE-1648973
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Other Numbering System NameOther Numbering System ID
CALT-TH2017-052
Issue or Number:1
Record Number:CaltechAUTHORS:20171004-141155572
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171004-141155572
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82069
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:05 Oct 2017 17:13
Last Modified:03 Oct 2019 18:50

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