Beyond the thermodynamic limit : finite-size corrections to state interconversion rates

doi:10.22331/q-2018-11-27-108

Beyond the thermodynamic limit : finite-size corrections to state interconversion rates

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Beyond the thermodynamic limit : finite-size corrections to state interconversion rates

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dc.contributor.author	Chubb, Christopher T.	pl
dc.contributor.author	Tomamichel, Marco	pl
dc.contributor.author	Korzekwa, Kamil [SAP14041732]	pl
dc.date.accessioned	2020-12-15T12:01:45Z
dc.date.available	2020-12-15T12:01:45Z
dc.date.issued	2018	pl
dc.identifier.uri	https://ruj.uj.edu.pl/xmlui/handle/item/258880
dc.language	eng	pl
dc.rights	Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/pl/legalcode	*
dc.title	Beyond the thermodynamic limit : finite-size corrections to state interconversion rates	pl
dc.type	JournalArticle	pl
dc.abstract.en	Thermodynamics is traditionally constrained to the study of macroscopic systems whose energy fluctuations are negligible compared to their average energy. Here, we push beyond this thermodynamic limit by developing a mathematical framework to rigorously address the problem of thermodynamic transformations of finite-size systems. More formally, we analyse state interconversion under thermal operations and between arbitrary energy-incoherent states. We find precise relations between the optimal rate at which interconversion can take place and the desired infidelity of the final state when the system size is sufficiently large. These so-called second-order asymptotics provide a bridge between the extreme cases of single-shot thermodynamics and the asymptotic limit of infinitely large systems. We illustrate the utility of our results with several examples. We first show how thermodynamic cycles are affected by irreversibility due to finite-size effects. We then provide a precise expression for the gap between the distillable work and work of formation that opens away from the thermodynamic limit. Finally, we explain how the performance of a heat engine gets affected when one of the heat baths it operates between is finite. We find that while perfect work cannot generally be extracted at Carnot efficiency, there are conditions under which these finite-size effects vanish. In deriving our results we also clarify relations between different notions of approximate majorisation.	pl
dc.description.volume	2	pl
dc.identifier.doi	10.22331/q-2018-11-27-108	pl
dc.identifier.eissn	2521-327X	pl
dc.title.journal	Quantum	pl
dc.language.container	eng	pl
dc.subtype	Article	pl
dc.identifier.articleid	108	pl
dc.rights.original	CC-BY; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0	pl
dc.identifier.project	ROD UJ / OP	pl