Thermodynamic Performance of a Measurement-Driven Quantum Engine with a Two-Parameter (p,q)-Deformed Harmonic Oscillator
Abstract
We address a measurement-driven, single-bath quantum engine that generates usable work using quantum measurement backaction. The working medium is a two-parameter (p,q)-deformed harmonic oscillator, whose nonlinear spectrum modifies the energy gaps sampled by a nonselective Gaussian measurement and the work exchanged during quasistatic adiabatic strokes. The cycle starts from a Gibbs state and consists of an adiabatic change of (ω,p,q), measurement of the final effective position quadrature, a reverse adiabatic stroke, and thermalization with the original bath. Using a consistent first-law convention, we derive the measurement heat, adiabatic work contributions, thermalization heat, and reduced working-medium efficiency. We also express the measurement stroke via a transition matrix and identify passivity/unitality conditions that ensure nonnegative measurement heat. Numerical scans show that, within the finite-basis, spectral-ordering, and engine-operation checks used in this work, deformation can enhance measurement-induced energy input and extracted work relative to the undeformed oscillator. The physical engine regime is selected by QM>0, Wcyc<0, QT<0, and 0<η<1. The reported efficiency is reduced and excludes measurement-apparatus costs.
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BibTeX
@misc{osunmusanmi2026thermodynamic,
title = {{Thermodynamic Performance of a Measurement-Driven Quantum Engine with a Two-Parameter $(p,q)$-Deformed Harmonic Oscillator}},
author = {Tunde Joseph Osunmusanmi and Berihu Teklu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.06695},
eprint = {2609.06695},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.06695},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Thermodynamic Performance of a Measurement-Driven Quantum Engine with a Two-Parameter (p,q)-Deformed Harmonic Oscillator
AU - Tunde Joseph Osunmusanmi
AU - Berihu Teklu
PY - 2026
DA - 2026/09/06
PB - arXiv
DO - 10.48550/arxiv.2609.06695
UR - https://arxiv.org/abs/2609.06695
AB - We address a measurement-driven, single-bath quantum engine that generates usable work using quantum measurement backaction. The working medium is a two-parameter (p,q)-deformed harmonic oscillator, whose nonlinear spectrum modifies the energy gaps sampled by a nonselective Gaussian measurement and the work exchanged during quasistatic adiabatic strokes. The cycle starts from a Gibbs state and consists of an adiabatic change of (ω,p,q), measurement of the final effective position quadrature, a reverse adiabatic stroke, and thermalization with the original bath. Using a consistent first-law convention, we derive the measurement heat, adiabatic work contributions, thermalization heat, and reduced working-medium efficiency. We also express the measurement stroke via a transition matrix and identify passivity/unitality conditions that ensure nonnegative measurement heat. Numerical scans show that, within the finite-basis, spectral-ordering, and engine-operation checks used in this work, deformation can enhance measurement-induced energy input and extracted work relative to the undeformed oscillator. The physical engine regime is selected by QM>0, Wcyc<0, QT<0, and 0<η<1. The reported efficiency is reduced and excludes measurement-apparatus costs.
ER -