Thermodynamic uncertainty relations including measurement and feedback
(2019) In Physical Review E 100(5). Abstract
Thermodynamic uncertainty relations quantify how the signaltonoise 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 timereversal invariance, the uncertainty relations involve quantities averaged over the forward and the backward experiment defined by the associated fluctuation relation. This implies that the signaltonoise ratio of a given... (More)
Thermodynamic uncertainty relations quantify how the signaltonoise 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 timereversal invariance, the uncertainty relations involve quantities averaged over the forward and the backward experiment defined by the associated fluctuation relation. This implies that the signaltonoise 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
 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

 pmid:31869995
 scopus:85075578496
 ISSN
 24700045
 DOI
 10.1103/PhysRevE.100.052137
 language
 English
 LU publication?
 yes
 id
 a7e0d1a690d448b7b7040d9fddad1e2c
 date added to LUP
 20191204 15:42:39
 date last changed
 20200524 06:28:11
@article{a7e0d1a690d448b7b7040d9fddad1e2c, abstract = {<p>Thermodynamic uncertainty relations quantify how the signaltonoise 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 timereversal invariance, the uncertainty relations involve quantities averaged over the forward and the backward experiment defined by the associated fluctuation relation. This implies that the signaltonoise 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 = {24700045}, 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}, }