Jarzynski Equality for Driven Quantum Field Theories
- Creators
- Bartolotta, Anthony
- Deffner, Sebastian
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.
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.Attached Files
Published - PhysRevX.8.011033.pdf
Submitted - 1710.00829.pdf
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Additional details
- Eprint ID
- 82069
- Resolver ID
- CaltechAUTHORS:20171004-141155572
- DE-SC0011632
- Department of Energy (DOE)
- CHE-1648973
- NSF
- Created
-
2017-10-05Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2017-052