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Detailed Fluctuation Relation for Arbitrary Measurement and Feedback Schemes

Potts, Patrick P. LU orcid and Samuelsson, Peter LU (2018) In Physical Review Letters 121(21).
Abstract

Fluctuation relations are powerful equalities that hold far from equilibrium. However, the standard approach to include measurement and feedback schemes may become inapplicable in certain situations, including continuous measurements, precise measurements of continuous variables, and feedback induced irreversibility. Here we overcome these shortcomings by providing a recipe for producing detailed fluctuation relations. Based on this recipe, we derive a fluctuation relation which holds for arbitrary measurement and feedback control. The key insight is that fluctuations inferable from the measurement outcomes may be suppressed by postselection. Our detailed fluctuation relation results in a stringent and experimentally accessible... (More)

Fluctuation relations are powerful equalities that hold far from equilibrium. However, the standard approach to include measurement and feedback schemes may become inapplicable in certain situations, including continuous measurements, precise measurements of continuous variables, and feedback induced irreversibility. Here we overcome these shortcomings by providing a recipe for producing detailed fluctuation relations. Based on this recipe, we derive a fluctuation relation which holds for arbitrary measurement and feedback control. The key insight is that fluctuations inferable from the measurement outcomes may be suppressed by postselection. Our detailed fluctuation relation results in a stringent and experimentally accessible inequality on the extractable work, which is saturated when the full entropy production is inferable from the data.

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Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Letters
volume
121
issue
21
article number
210603
publisher
American Physical Society
external identifiers
  • pmid:30517817
  • scopus:85057174355
ISSN
0031-9007
DOI
10.1103/PhysRevLett.121.210603
language
English
LU publication?
yes
id
8a3b7ff0-aca9-4e85-a0f9-c13a37370e46
date added to LUP
2018-12-03 14:48:30
date last changed
2025-05-15 11:45:24
@article{8a3b7ff0-aca9-4e85-a0f9-c13a37370e46,
  abstract     = {{<p>Fluctuation relations are powerful equalities that hold far from equilibrium. However, the standard approach to include measurement and feedback schemes may become inapplicable in certain situations, including continuous measurements, precise measurements of continuous variables, and feedback induced irreversibility. Here we overcome these shortcomings by providing a recipe for producing detailed fluctuation relations. Based on this recipe, we derive a fluctuation relation which holds for arbitrary measurement and feedback control. The key insight is that fluctuations inferable from the measurement outcomes may be suppressed by postselection. Our detailed fluctuation relation results in a stringent and experimentally accessible inequality on the extractable work, which is saturated when the full entropy production is inferable from the data.</p>}},
  author       = {{Potts, Patrick P. and Samuelsson, Peter}},
  issn         = {{0031-9007}},
  language     = {{eng}},
  month        = {{11}},
  number       = {{21}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Letters}},
  title        = {{Detailed Fluctuation Relation for Arbitrary Measurement and Feedback Schemes}},
  url          = {{http://dx.doi.org/10.1103/PhysRevLett.121.210603}},
  doi          = {{10.1103/PhysRevLett.121.210603}},
  volume       = {{121}},
  year         = {{2018}},
}