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Autonomous conversion of information to work in quantum dots

Sánchez, Rafael ; Samuelsson, Peter LU and Potts, Patrick P. LU orcid (2019) In Physical Review Research 1(3).
Abstract
We consider an autonomous implementation of Maxwell's demon in a quantum dot architecture acting on a system without changing its number of particles or its energy. As in the original thought experiment, only the second law of thermodynamics is seemingly violated when disregarding the demon. The autonomous architecture allows us to compare descriptions in terms of information to a more traditional, thermoelectric characterization. Our detailed investigation of information-to-work conversion is based on fluctuation relations and second-law-like inequalities in addition to the average heat and charge currents. By introducing a time reversal on the level of individual electrons, we find a fluctuation relation that is not connected to any... (More)
We consider an autonomous implementation of Maxwell's demon in a quantum dot architecture acting on a system without changing its number of particles or its energy. As in the original thought experiment, only the second law of thermodynamics is seemingly violated when disregarding the demon. The autonomous architecture allows us to compare descriptions in terms of information to a more traditional, thermoelectric characterization. Our detailed investigation of information-to-work conversion is based on fluctuation relations and second-law-like inequalities in addition to the average heat and charge currents. By introducing a time reversal on the level of individual electrons, we find a fluctuation relation that is not connected to any symmetry of the moment-generating function of heat and particle flows. Furthermore, we show how an effective Markovian master equation with broken detailed balance for the system alone can emerge from a full description, allowing for an investigation of the entropic cost associated with breaking detailed balance. Interestingly, while the entropic cost of performing a perfect measurement diverges, the entropic cost of breaking detailed balance does not. Our results connect various approaches and idealized scenarios found in the literature and can be tested experimentally with present-day technology. (Less)
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Research
volume
1
issue
3
article number
033066
publisher
American Physical Society
external identifiers
  • scopus:85075783302
ISSN
2643-1564
DOI
10.1103/PhysRevResearch.1.033066
language
English
LU publication?
yes
id
bbca0572-55d1-40a7-b6c1-889affa14cbb
alternative location
https://link.aps.org/doi/10.1103/PhysRevResearch.1.033066
date added to LUP
2020-02-05 21:00:23
date last changed
2023-11-08 02:50:52
@article{bbca0572-55d1-40a7-b6c1-889affa14cbb,
  abstract     = {{We consider an autonomous implementation of Maxwell's demon in a quantum dot architecture acting on a system without changing its number of particles or its energy. As in the original thought experiment, only the second law of thermodynamics is seemingly violated when disregarding the demon. The autonomous architecture allows us to compare descriptions in terms of information to a more traditional, thermoelectric characterization. Our detailed investigation of information-to-work conversion is based on fluctuation relations and second-law-like inequalities in addition to the average heat and charge currents. By introducing a time reversal on the level of individual electrons, we find a fluctuation relation that is not connected to any symmetry of the moment-generating function of heat and particle flows. Furthermore, we show how an effective Markovian master equation with broken detailed balance for the system alone can emerge from a full description, allowing for an investigation of the entropic cost associated with breaking detailed balance. Interestingly, while the entropic cost of performing a perfect measurement diverges, the entropic cost of breaking detailed balance does not. Our results connect various approaches and idealized scenarios found in the literature and can be tested experimentally with present-day technology.}},
  author       = {{Sánchez, Rafael and Samuelsson, Peter and Potts, Patrick P.}},
  issn         = {{2643-1564}},
  language     = {{eng}},
  number       = {{3}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Research}},
  title        = {{Autonomous conversion of information to work in quantum dots}},
  url          = {{http://dx.doi.org/10.1103/PhysRevResearch.1.033066}},
  doi          = {{10.1103/PhysRevResearch.1.033066}},
  volume       = {{1}},
  year         = {{2019}},
}