Contextuality in anomalous heat flow

Fuente: arXiv
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Autori principali: Comar, Naim Elias, Cius, Danilo, Santos, Luis Felipe, Wagner, Rafael, Amaral, Bárbara
Natura: Preprint
Pubblicazione: 2024
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author Comar, Naim Elias
Cius, Danilo
Santos, Luis Felipe
Wagner, Rafael
Amaral, Bárbara
author_facet Comar, Naim Elias
Cius, Danilo
Santos, Luis Felipe
Wagner, Rafael
Amaral, Bárbara
contents In classical thermodynamics, heat must spontaneously flow from hot to cold systems. In quantum thermodynamics, the same law applies when considering multipartite product thermal states evolving unitarily. If initial correlations are present, anomalous heat flow can happen, temporarily making cold thermal states colder and hot thermal states hotter. Such effect can happen due to entanglement, but also because of classical randomness, hence lacking a direct connection with nonclassicality. In this work, we introduce scenarios where anomalous heat flow \emph{does} have a direct link to nonclassicality, defined to be the failure of noncontextual models to explain experimental data. We start by extending known noncontextuality inequalities to a setup where sequential transformations are considered. We then show a class of quantum prepare-transform-measure protocols, characterized by time intervals $(0,τ_c)$ for a given critical time $τ_c$, where anomalous heat flow happens only if a noncontextuality inequality is violated. We also analyze a recent experiment from Micadei et. al. [Nat. Commun. 10, 2456 (2019)] and find the critical time $τ_c$ based on their experimental parameters. We conclude by investigating heat flow in the evolution of two qutrit systems, showing that our findings are not an artifact of using two-qubit systems.
format Preprint
id arxiv_https___arxiv_org_abs_2406_09715
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Contextuality in anomalous heat flow
Comar, Naim Elias
Cius, Danilo
Santos, Luis Felipe
Wagner, Rafael
Amaral, Bárbara
Quantum Physics
In classical thermodynamics, heat must spontaneously flow from hot to cold systems. In quantum thermodynamics, the same law applies when considering multipartite product thermal states evolving unitarily. If initial correlations are present, anomalous heat flow can happen, temporarily making cold thermal states colder and hot thermal states hotter. Such effect can happen due to entanglement, but also because of classical randomness, hence lacking a direct connection with nonclassicality. In this work, we introduce scenarios where anomalous heat flow \emph{does} have a direct link to nonclassicality, defined to be the failure of noncontextual models to explain experimental data. We start by extending known noncontextuality inequalities to a setup where sequential transformations are considered. We then show a class of quantum prepare-transform-measure protocols, characterized by time intervals $(0,τ_c)$ for a given critical time $τ_c$, where anomalous heat flow happens only if a noncontextuality inequality is violated. We also analyze a recent experiment from Micadei et. al. [Nat. Commun. 10, 2456 (2019)] and find the critical time $τ_c$ based on their experimental parameters. We conclude by investigating heat flow in the evolution of two qutrit systems, showing that our findings are not an artifact of using two-qubit systems.
title Contextuality in anomalous heat flow
topic Quantum Physics
url https://arxiv.org/abs/2406.09715