Jarzynski Equality for Driven Quantum Field Theories
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 Φ4. 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 study, it is found that work done through processes with pair creation is the dominant contribution.
- Authors:
- Publication Date:
- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1422849
- Alternate Identifier(s):
- OSTI ID: 1499090
- Grant/Contract Number:
- SC0011632
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. X
- Additional Journal Information:
- Journal Name: Physical Review. X Journal Volume: 8 Journal Issue: 1; Journal ID: ISSN 2160-3308
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Bartolotta, Anthony, and Deffner, Sebastian. Jarzynski Equality for Driven Quantum Field Theories. United States: N. p., 2018.
Web. doi:10.1103/PhysRevX.8.011033.
Bartolotta, Anthony, & Deffner, Sebastian. Jarzynski Equality for Driven Quantum Field Theories. United States. https://doi.org/10.1103/PhysRevX.8.011033
Bartolotta, Anthony, and Deffner, Sebastian. Tue .
"Jarzynski Equality for Driven Quantum Field Theories". United States. https://doi.org/10.1103/PhysRevX.8.011033.
@article{osti_1422849,
title = {Jarzynski Equality for Driven Quantum Field Theories},
author = {Bartolotta, Anthony and Deffner, Sebastian},
abstractNote = {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 Φ4. 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 study, it is found that work done through processes with pair creation is the dominant contribution.},
doi = {10.1103/PhysRevX.8.011033},
journal = {Physical Review. X},
number = 1,
volume = 8,
place = {United States},
year = {2018},
month = {2}
}
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https://doi.org/10.1103/PhysRevX.8.011033
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Works referencing / citing this record:
Work Distributions on Quantum Fields
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