Finite Quantum Engineering Thermodynamics
Abstract
A useful thermodynamic model predicts what a device will do without tracking its full microscopic state. For a finite quantum working medium, the difficult question is which quantities should actually be measured. We develop a task-based method that keeps exact energy accounting separate from calibrated macroscopic prediction. Operator geometry identifies what a measured record determines and bounds what remains uncertain. We then compare direct measurements of dynamical observables with earlier measurements of the same coarse record, selecting the representation together with its measurement cost. A Bose--Hubbard example yields a compact response table tested over a continuous operating region and on unseen microscopic trajectories. A driven Ising chain shows why history is not always the cheaper choice. The result is a way to turn detailed quantum dynamics into a small, reusable, and explicitly qualified thermodynamic description.
Related
- Quantum gravity phenomenology in quadrupolar Bose-Einstein condensates: Finite-temperature thermodynamics and projected bounds
- Optimizing optimal transport: Role of final distributions in finite-time thermodynamics
- From lattice QCD thermodynamics to an effective quasiparticle description of gluonic matter at finite temperature
- Quantum-Coherent Thermodynamics: Leaf Typicality via Minimum-Variance Foliation
- Second Law of Thermodynamics in Closed Quantum Many-Body Systems
BibTeX
@misc{ahmadi2026finite,
title = {{Finite Quantum Engineering Thermodynamics}},
author = {Borhan Ahmadi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.13511},
eprint = {2610.13511},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.13511},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Finite Quantum Engineering Thermodynamics
AU - Borhan Ahmadi
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.13511
UR - https://arxiv.org/abs/2610.13511
AB - A useful thermodynamic model predicts what a device will do without tracking its full microscopic state. For a finite quantum working medium, the difficult question is which quantities should actually be measured. We develop a task-based method that keeps exact energy accounting separate from calibrated macroscopic prediction. Operator geometry identifies what a measured record determines and bounds what remains uncertain. We then compare direct measurements of dynamical observables with earlier measurements of the same coarse record, selecting the representation together with its measurement cost. A Bose--Hubbard example yields a compact response table tested over a continuous operating region and on unseen microscopic trajectories. A driven Ising chain shows why history is not always the cheaper choice. The result is a way to turn detailed quantum dynamics into a small, reusable, and explicitly qualified thermodynamic description.
ER -