Fluctuation theorems for continuous quantum measurements and absolute irreversibility
Abstract
Fluctuation theorems are relations constraining the out-of-equilibrium fluctuations of thermodynamic quantities like the entropy production that were initially introduced for classical or quantum systems in contact with a thermal bath. Here we show, in the absence of thermal bath, the dynamics of continuously measured quantum systems can also be described by a fluctuation theorem, expressed in terms of a recently introduced arrow of time measure. This theorem captures the emergence of irreversible behavior from microscopic reversibility in continuous quantum measurements. From this relation, we demonstrate that measurement-induced wave-function collapse exhibits absolute irreversibility, such that Jarzynski and Crooks-like equalities are violated. We apply our results to different continuous measurement schemes on a qubit: dispersive measurement, homodyne and heterodyne detection of a qubit’s fluorescence
- Authors:
-
- Univ. of Rochester, NY (United States)
- Univ. of Rochester, NY (United States); Chapman Univ., Orange, CA (United States)
- Publication Date:
- Research Org.:
- Univ. of Rochester, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); John Templeton Foundation; US Army Research Office (ARO); National Science Foundation (NSF)
- OSTI Identifier:
- 1612772
- Alternate Identifier(s):
- OSTI ID: 1546331; OSTI ID: 2222814
- Grant/Contract Number:
- SC0017890; 58558; W911NF-15-1-0496; DMR-1506081; DMR-1809343; NSF PHY-1748958
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 2; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Optics; Physics; Fluctuation theorems; Quantum foundations; Quantum measurements; Quantum thermodynamics
Citation Formats
Manikandan, Sreenath K., Elouard, Cyril, and Jordan, Andrew N. Fluctuation theorems for continuous quantum measurements and absolute irreversibility. United States: N. p., 2019.
Web. doi:10.1103/physreva.99.022117.
Manikandan, Sreenath K., Elouard, Cyril, & Jordan, Andrew N. Fluctuation theorems for continuous quantum measurements and absolute irreversibility. United States. https://doi.org/10.1103/physreva.99.022117
Manikandan, Sreenath K., Elouard, Cyril, and Jordan, Andrew N. Tue .
"Fluctuation theorems for continuous quantum measurements and absolute irreversibility". United States. https://doi.org/10.1103/physreva.99.022117. https://www.osti.gov/servlets/purl/1612772.
@article{osti_1612772,
title = {Fluctuation theorems for continuous quantum measurements and absolute irreversibility},
author = {Manikandan, Sreenath K. and Elouard, Cyril and Jordan, Andrew N.},
abstractNote = {Fluctuation theorems are relations constraining the out-of-equilibrium fluctuations of thermodynamic quantities like the entropy production that were initially introduced for classical or quantum systems in contact with a thermal bath. Here we show, in the absence of thermal bath, the dynamics of continuously measured quantum systems can also be described by a fluctuation theorem, expressed in terms of a recently introduced arrow of time measure. This theorem captures the emergence of irreversible behavior from microscopic reversibility in continuous quantum measurements. From this relation, we demonstrate that measurement-induced wave-function collapse exhibits absolute irreversibility, such that Jarzynski and Crooks-like equalities are violated. We apply our results to different continuous measurement schemes on a qubit: dispersive measurement, homodyne and heterodyne detection of a qubit’s fluorescence},
doi = {10.1103/physreva.99.022117},
journal = {Physical Review A},
number = 2,
volume = 99,
place = {United States},
year = {Tue Feb 19 00:00:00 EST 2019},
month = {Tue Feb 19 00:00:00 EST 2019}
}
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