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Probabilistically violating the first law of thermodynamics in a quantum heat engine

Kerremans, Timo LU ; Samuelsson, Peter LU and Potts, Patrick P. LU orcid (2022) In SciPost Physics 12(5).
Abstract

Fluctuations of thermodynamic observables, such as heat and work, contain relevant information on the underlying physical process. These fluctuations are however not taken into account in the traditional laws of thermodynamics. While the second law is extended to fluctuating systems by the celebrated fluctuation theorems, the first law is generally believed to hold even in the presence of fluctuations. Here we show that in the presence of quantum fluctuations, also the first law of thermodynamics may break down. This happens because quantum mechanics imposes constraints on the knowledge of heat and work. To illustrate our results, we provide a detailed case-study of work and heat fluctuations in a quantum heat engine based on a circuit... (More)

Fluctuations of thermodynamic observables, such as heat and work, contain relevant information on the underlying physical process. These fluctuations are however not taken into account in the traditional laws of thermodynamics. While the second law is extended to fluctuating systems by the celebrated fluctuation theorems, the first law is generally believed to hold even in the presence of fluctuations. Here we show that in the presence of quantum fluctuations, also the first law of thermodynamics may break down. This happens because quantum mechanics imposes constraints on the knowledge of heat and work. To illustrate our results, we provide a detailed case-study of work and heat fluctuations in a quantum heat engine based on a circuit QED architecture. We find probabilistic violations of the first law and show that they are closely connected to quantum signatures related to negative quasi-probabilities. Our results imply that in the presence of quantum fluctuations, the first law of thermodynamics may not be applicable to individual experimental runs.

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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
SciPost Physics
volume
12
issue
5
article number
168
publisher
SciPost
external identifiers
  • scopus:85136176754
ISSN
2542-4653
DOI
10.21468/SciPostPhys.12.5.168
language
English
LU publication?
yes
id
d04c7c64-8de3-47d0-bb84-7d4a150a61bc
date added to LUP
2022-09-08 14:19:06
date last changed
2023-11-17 16:11:18
@article{d04c7c64-8de3-47d0-bb84-7d4a150a61bc,
  abstract     = {{<p>Fluctuations of thermodynamic observables, such as heat and work, contain relevant information on the underlying physical process. These fluctuations are however not taken into account in the traditional laws of thermodynamics. While the second law is extended to fluctuating systems by the celebrated fluctuation theorems, the first law is generally believed to hold even in the presence of fluctuations. Here we show that in the presence of quantum fluctuations, also the first law of thermodynamics may break down. This happens because quantum mechanics imposes constraints on the knowledge of heat and work. To illustrate our results, we provide a detailed case-study of work and heat fluctuations in a quantum heat engine based on a circuit QED architecture. We find probabilistic violations of the first law and show that they are closely connected to quantum signatures related to negative quasi-probabilities. Our results imply that in the presence of quantum fluctuations, the first law of thermodynamics may not be applicable to individual experimental runs.</p>}},
  author       = {{Kerremans, Timo and Samuelsson, Peter and Potts, Patrick P.}},
  issn         = {{2542-4653}},
  language     = {{eng}},
  number       = {{5}},
  publisher    = {{SciPost}},
  series       = {{SciPost Physics}},
  title        = {{Probabilistically violating the first law of thermodynamics in a quantum heat engine}},
  url          = {{http://dx.doi.org/10.21468/SciPostPhys.12.5.168}},
  doi          = {{10.21468/SciPostPhys.12.5.168}},
  volume       = {{12}},
  year         = {{2022}},
}