id,collection,dc.contributor.author,dc.date.accessioned,dc.date.available,dc.date.issued,dc.description.abstract[en],dc.format.extent,dc.identifier.uri,dc.language,dc.rights.uri,dc.subject.ddc,dc.subject[en],dc.title,dc.type,dcterms.accessRights.openaire,dcterms.bibliographicCitation.articlenumber,dcterms.bibliographicCitation.doi,dcterms.bibliographicCitation.journaltitle,dcterms.bibliographicCitation.url,dcterms.bibliographicCitation.volume,dcterms.isPartOf.eissn,dcterms.isPartOf.issn,refubium.affiliation,refubium.resourceType.isindependentpub "44d4a8f8-9671-40ea-baf5-26ee8fbf3120","fub188/16","Faist, Philippe||Sagawa, Takahiro||Kato, Kohtaro||Nagaoka, Hiroshi||Brandão, Fernando G. S. L.","2020-04-08T12:18:55Z","2020-04-08T12:18:55Z","2019","The resource theory of thermal operations, an established model for small-scale thermodynamics, provides an extension of equilibrium thermodynamics to nonequilibrium situations. On a lattice of any dimension with any translation-invariant local Hamiltonian, we identify a large set of translation-invariant states that can be reversibly converted to and from the thermal state with thermal operations and a small amount of coherence. These are the spatially ergodic states, i.e., states that have sharp statistics for any translation-invariant observable, and mixtures of such states with the same thermodynamic potential. As an intermediate result, we show for a general state that if the gap between the min- and the max-relative entropies to the thermal state is small, then the state can be approximately reversibly converted to and from the thermal state with thermal operations and a small source of coherence. Our proof provides a quantum version of the Shannon-McMillan-Breiman theorem for the relative entropy and a quantum Stein’s lemma for ergodic states and local Gibbs states. Our results provide a strong link between the abstract resource theory of thermodynamics and more realistic physical systems as we achieve a robust and operational characterization of the emergence of a thermodynamic potential in translation-invariant lattice systems.","7 Seiten","https://refubium.fu-berlin.de/handle/fub188/27086||http://dx.doi.org/10.17169/refubium-26847","eng","http://www.fu-berlin.de/sites/refubium/rechtliches/Nutzungsbedingungen","500 Naturwissenschaften und Mathematik::530 Physik::530 Physik","quantum statistical mechanics||quantum thermodynamics||resource theories||thermodynamics","Macroscopic thermodynamic reversibility in quantum many-body systems","Wissenschaftlicher Artikel","open access","250601","10.1103/PhysRevLett.123.250601","Physical review letters","https://doi.org/10.1103/PhysRevLett.123.250601","123","1079-7114","0031-9007","Physik","no"