Jarzynski Equality for Driven Quantum Field Theories
| dc.contributor.author | Bartolotta, Anthony | |
| dc.contributor.author | Deffner, Sebastian | |
| dc.date.accessioned | 2020-08-13T16:00:53Z | |
| dc.date.available | 2020-08-13T16:00:53Z | |
| dc.date.issued | 2018-02-27 | |
| dc.description.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 case, it is found that work done through processes with pair creation is the dominant contribution. | en_US |
| dc.description.sponsorship | 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. CHE1648973. | en_US |
| dc.description.uri | https://journals.aps.org/prx/abstract/10.1103/PhysRevX.8.011033 | en_US |
| dc.format.extent | 20 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.identifier | doi:10.13016/m27syw-jwky | |
| dc.identifier.citation | Anthony Bartolotta and Sebastian Deffner, Jarzynski Equality for Driven Quantum Field Theories, Phys. Rev. X 8, 011033 (2018), DOI:https://doi.org/10.1103/PhysRevX.8.011033 | en_US |
| dc.identifier.uri | https://doi.org/10.1103/PhysRevX.8.011033 | |
| dc.identifier.uri | http://hdl.handle.net/11603/19417 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | American Physical Society (APS) | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Physics Department Collection | |
| dc.relation.ispartof | UMBC Joint Center for Earth Systems Technology (JCET) | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | |
| dc.rights | Attribution 4.0 International | * |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | * |
| dc.title | Jarzynski Equality for Driven Quantum Field Theories | en_US |
| dc.type | Text | en_US |