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Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems

We characterize finite-time thermodynamic processes of multidimensional quadratic overdamped
systems. Analytic expressions are provided for heat, work, and dissipation for any evolution of the
system covariance matrix. The Bures-Wasserstein metric between covariance matrices naturally
emerges as the local quantifier of dissipation. General principles of how to apply these geometric tools
to identify optimal protocols are discussed. Focusing on the relevant slow-driving limit, we show how
these results can be used to analyze cases in which the experimental control over the system is partial.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:87693
Date26 October 2023
CreatorsAbiuso, Paolo, Holubec, Viktor, Anders, Janet, Ye, Zhuolin, Cerisola, Federico, Perarnau-Llobet, Marti
PublisherIOP Publishing
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/publishedVersion, doc-type:article, info:eu-repo/semantics/article, doc-type:Text
Rightsinfo:eu-repo/semantics/openAccess
Relation063001

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