Finite-Time Thermodynamic Routing in an Anharmonic Collective Quantum Otto Engine
Abstract
The Gibbs state determined by a thermal reservoir does not determine how a working medium approaches it or how fluctuations accumulate over repeated cycles. We exploit this kinetic freedom in an anharmonic collective quantum Otto engine. A longitudinal interaction separates neighboring Dicke transition frequencies without changing their collective matrix elements, allowing passive spectral shaping to route finite-time transport among edges with different heat costs while preserving the contact Gibbs states. Exact edge-current identities and repeated-cycle counting statistics link this routing to mean work, hot heat, and intercycle work correlations. At fixed thermal-contact exposure, structured reservoirs can increase both mean work and long-time squared precision; equal-work controls distinguish these gains from uniform relaxation-rate changes. The useful regime is mesoscopic, bounded by spectral resolution and physical contact time. An equal-cooling example and a full-spin local-noise study test the mechanism beyond ideal engine operation, the latter retaining a one-cycle precision gain despite spin-sector mixing. In a six-transmon dressed-spectrum model, passive microwave filters at fixed integrated coupling achieve equal mean work with shorter thermal contacts, corresponding to higher contact-time-normalized output, and with long-time squared precision comparable to that of the fastest sampled flat reference. The transition pathways selected by a passive reservoir thus provide a control variable for finite-time performance and accumulated work fluctuations that is independent of thermal equilibrium.
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BibTeX
@misc{damas2026finitetime,
title = {{Finite-Time Thermodynamic Routing in an Anharmonic Collective Quantum Otto Engine}},
author = {Gabriella G. Damas and G. D. de Moraes Neto},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.08242},
eprint = {2611.08242},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.08242},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Finite-Time Thermodynamic Routing in an Anharmonic Collective Quantum Otto Engine
AU - Gabriella G. Damas
AU - G. D. de Moraes Neto
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.08242
UR - https://arxiv.org/abs/2611.08242
AB - The Gibbs state determined by a thermal reservoir does not determine how a working medium approaches it or how fluctuations accumulate over repeated cycles. We exploit this kinetic freedom in an anharmonic collective quantum Otto engine. A longitudinal interaction separates neighboring Dicke transition frequencies without changing their collective matrix elements, allowing passive spectral shaping to route finite-time transport among edges with different heat costs while preserving the contact Gibbs states. Exact edge-current identities and repeated-cycle counting statistics link this routing to mean work, hot heat, and intercycle work correlations. At fixed thermal-contact exposure, structured reservoirs can increase both mean work and long-time squared precision; equal-work controls distinguish these gains from uniform relaxation-rate changes. The useful regime is mesoscopic, bounded by spectral resolution and physical contact time. An equal-cooling example and a full-spin local-noise study test the mechanism beyond ideal engine operation, the latter retaining a one-cycle precision gain despite spin-sector mixing. In a six-transmon dressed-spectrum model, passive microwave filters at fixed integrated coupling achieve equal mean work with shorter thermal contacts, corresponding to higher contact-time-normalized output, and with long-time squared precision comparable to that of the fastest sampled flat reference. The transition pathways selected by a passive reservoir thus provide a control variable for finite-time performance and accumulated work fluctuations that is independent of thermal equilibrium.
ER -