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PreprintCC BY 4.0arXiv

Efficiency fluctuations in quantum heat engines with non-quasi-static adiabatic strokes

Abstract

We have presented an analytical and numerical study of efficiency fluctuations in quantum Carnot and Otto engines with pistons operating under non-quasi-static adiabatic expansion and compression processes at constant speed, along with quasi-static isothermal (for the Carnot engine) or isochoric processes (for the Otto engine). We have considered the two-point measurement scheme during the adiabatic strokes in this regard. By considering each of the pistons as a single quantum particle in a 1-D box with a non-quasi-statically movable boundary, we capture the stochastic nature of the work output resulting from the unitary evolution of the quantum mechanical state of the system during non-equilibrium processes. Furthermore, we have explicitly shown how the piston speed during quantum non-equilibrium strokes introduces additional quantum fluctuations that modify the average efficiency of both the engines.

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BibTeX
@misc{behera2026efficiency,
  title = {{Efficiency fluctuations in quantum heat engines with non-quasi-static adiabatic strokes}},
  author = {Bikram Keshari Behera and Shyamal Biswas},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.10647},
  eprint = {2610.10647},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.10647},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Efficiency fluctuations in quantum heat engines with non-quasi-static adiabatic strokes
AU  - Bikram Keshari Behera
AU  - Shyamal Biswas
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2610.10647
UR  - https://arxiv.org/abs/2610.10647
AB  - We have presented an analytical and numerical study of efficiency fluctuations in quantum Carnot and Otto engines with pistons operating under non-quasi-static adiabatic expansion and compression processes at constant speed, along with quasi-static isothermal (for the Carnot engine) or isochoric processes (for the Otto engine). We have considered the two-point measurement scheme during the adiabatic strokes in this regard. By considering each of the pistons as a single quantum particle in a 1-D box with a non-quasi-statically movable boundary, we capture the stochastic nature of the work output resulting from the unitary evolution of the quantum mechanical state of the system during non-equilibrium processes. Furthermore, we have explicitly shown how the piston speed during quantum non-equilibrium strokes introduces additional quantum fluctuations that modify the average efficiency of both the engines.
ER  -