Local response theory of multiparameter sudden-quench quantum Otto engines
Abstract
Multiparameter quantum Otto engines raise an optimization problem absent in single-parameter cycles: which small quench vector maximizes the quadratic approximation to the exact output work in a multidimensional control space? We develop a local response theory for sudden-quench Otto engines with quantum working media described by linearly controlled Hamiltonians. We show that the local quadratic work decomposes into a thermal-bias gain and a quadratic response cost, whose competition determines the quench vector that maximizes the local quadratic work at a prescribed quench amplitude. We illustrate the theory in a minimal two-level working medium, where radial and transverse quenches play distinct roles, and in a finite interacting XYZ spin chain, where the resulting quench vector is determined by the balance between thermal-bias and response cost. Our results provide a practical local criterion for designing small multiparameter quenches in sudden-quench quantum Otto engines.
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BibTeX
@misc{liu2026local,
title = {{Local response theory of multiparameter sudden-quench quantum Otto engines}},
author = {Dehua Liu and Yihang Cai and Biao Xiong and Jibing Liu and Chuanjia Shan and Jianhui Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.24482},
eprint = {2610.24482},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.24482},
}
RIS
TY - UNPB
TI - Local response theory of multiparameter sudden-quench quantum Otto engines
AU - Dehua Liu
AU - Yihang Cai
AU - Biao Xiong
AU - Jibing Liu
AU - Chuanjia Shan
AU - Jianhui Wang
PY - 2026
DA - 2026/10/17
PB - arXiv
DO - 10.48550/arxiv.2610.24482
UR - https://arxiv.org/abs/2610.24482
AB - Multiparameter quantum Otto engines raise an optimization problem absent in single-parameter cycles: which small quench vector maximizes the quadratic approximation to the exact output work in a multidimensional control space? We develop a local response theory for sudden-quench Otto engines with quantum working media described by linearly controlled Hamiltonians. We show that the local quadratic work decomposes into a thermal-bias gain and a quadratic response cost, whose competition determines the quench vector that maximizes the local quadratic work at a prescribed quench amplitude. We illustrate the theory in a minimal two-level working medium, where radial and transverse quenches play distinct roles, and in a finite interacting XYZ spin chain, where the resulting quench vector is determined by the balance between thermal-bias and response cost. Our results provide a practical local criterion for designing small multiparameter quenches in sudden-quench quantum Otto engines.
ER -