Thermodynamic uncertainty relations including measurement and feedback
Potts, Patrick P. LU
and Samuelsson, Peter
LU
(2019)
In Physical Review E
100(5).
- Abstract
Thermodynamic uncertainty relations quantify how the signal-to-noise ratio of a given observable is constrained by dissipation. Fluctuation relations generalize the second law of thermodynamics to stochastic processes. We show that any fluctuation relation directly implies a thermodynamic uncertainty relation, considerably increasing their range of applicability. In particular, we extend thermodynamic uncertainty relations to scenarios which include measurement and feedback. Since feedback generally breaks time-reversal invariance, the uncertainty relations involve quantities averaged over the forward and the backward experiment defined by the associated fluctuation relation. This implies that the signal-to-noise ratio of a given... (More)
Thermodynamic uncertainty relations quantify how the signal-to-noise ratio of a given observable is constrained by dissipation. Fluctuation relations generalize the second law of thermodynamics to stochastic processes. We show that any fluctuation relation directly implies a thermodynamic uncertainty relation, considerably increasing their range of applicability. In particular, we extend thermodynamic uncertainty relations to scenarios which include measurement and feedback. Since feedback generally breaks time-reversal invariance, the uncertainty relations involve quantities averaged over the forward and the backward experiment defined by the associated fluctuation relation. This implies that the signal-to-noise ratio of a given experiment can in principle become arbitrarily large as long as the corresponding backward experiment compensates, e.g., by being sufficiently noisy. We illustrate our results with the Szilard engine as well as work extraction by free energy reduction in a quantum dot.
(Less)
- author
- Potts, Patrick P.
LU
and Samuelsson, Peter
LU
- organization
- publishing date
- 2019
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E
- volume
- 100
- issue
- 5
- article number
- 052137
- publisher
- American Physical Society
- external identifiers
-
- scopus:85075578496
- pmid:31869995
- ISSN
- 2470-0045
- DOI
- 10.1103/PhysRevE.100.052137
- language
- English
- LU publication?
- yes
- id
- a7e0d1a6-90d4-48b7-b704-0d9fddad1e2c
- date added to LUP
- 2019-12-04 15:42:39
- date last changed
- 2024-04-17 00:22:22
@article{a7e0d1a6-90d4-48b7-b704-0d9fddad1e2c,
abstract = {{<p>Thermodynamic uncertainty relations quantify how the signal-to-noise ratio of a given observable is constrained by dissipation. Fluctuation relations generalize the second law of thermodynamics to stochastic processes. We show that any fluctuation relation directly implies a thermodynamic uncertainty relation, considerably increasing their range of applicability. In particular, we extend thermodynamic uncertainty relations to scenarios which include measurement and feedback. Since feedback generally breaks time-reversal invariance, the uncertainty relations involve quantities averaged over the forward and the backward experiment defined by the associated fluctuation relation. This implies that the signal-to-noise ratio of a given experiment can in principle become arbitrarily large as long as the corresponding backward experiment compensates, e.g., by being sufficiently noisy. We illustrate our results with the Szilard engine as well as work extraction by free energy reduction in a quantum dot.</p>}},
author = {{Potts, Patrick P. and Samuelsson, Peter}},
issn = {{2470-0045}},
language = {{eng}},
number = {{5}},
publisher = {{American Physical Society}},
series = {{Physical Review E}},
title = {{Thermodynamic uncertainty relations including measurement and feedback}},
url = {{http://dx.doi.org/10.1103/PhysRevE.100.052137}},
doi = {{10.1103/PhysRevE.100.052137}},
volume = {{100}},
year = {{2019}},
}