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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.

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author
organization
publishing date
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
  • pmid:31869995
  • scopus:85075578496
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
2020-05-24 06:28:11
@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},
}