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Main Authors: Rubino, Giulia, Brukner, Časlav, Manzano, Gonzalo
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2507.15918
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author Rubino, Giulia
Brukner, Časlav
Manzano, Gonzalo
author_facet Rubino, Giulia
Brukner, Časlav
Manzano, Gonzalo
contents In both classical and quantum thermodynamics, physical quantities are typically assigned objective values defined independently of our observations. We then refer to the 'work performed by a gas', or the 'entropy of the gas', regardless of how they are evaluated. Here, we question this conception in the context of quantum thermodynamics, estimating how the definition of pivotal thermodynamic quantities is affected by experimental instruments of limited precision. We find that the coarse-grained thermodynamic quantities frequently lead to different conclusions from those drawn in fine-grained scenarios. For instance, the irreversibility of a process, or its work payoff, can significantly vary with the instrument precision. We show nonetheless that coarse-grained thermodynamic quantities satisfy the same relations (i.e., the second law inequality, the relation between dissipation and distinguishability of a process from its time-reverse, and the quantum work fluctuation theorems) as their fine-grained counterparts. These results highlight the observation-independence of relations linking thermodynamic quantities which are themselves observation-dependent.
format Preprint
id arxiv_https___arxiv_org_abs_2507_15918
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Coarse-Grained Quantum Thermodynamics: Observation-Dependent Quantities, Observation-Independent Laws
Rubino, Giulia
Brukner, Časlav
Manzano, Gonzalo
Quantum Physics
In both classical and quantum thermodynamics, physical quantities are typically assigned objective values defined independently of our observations. We then refer to the 'work performed by a gas', or the 'entropy of the gas', regardless of how they are evaluated. Here, we question this conception in the context of quantum thermodynamics, estimating how the definition of pivotal thermodynamic quantities is affected by experimental instruments of limited precision. We find that the coarse-grained thermodynamic quantities frequently lead to different conclusions from those drawn in fine-grained scenarios. For instance, the irreversibility of a process, or its work payoff, can significantly vary with the instrument precision. We show nonetheless that coarse-grained thermodynamic quantities satisfy the same relations (i.e., the second law inequality, the relation between dissipation and distinguishability of a process from its time-reverse, and the quantum work fluctuation theorems) as their fine-grained counterparts. These results highlight the observation-independence of relations linking thermodynamic quantities which are themselves observation-dependent.
title Coarse-Grained Quantum Thermodynamics: Observation-Dependent Quantities, Observation-Independent Laws
topic Quantum Physics
url https://arxiv.org/abs/2507.15918