The Thermomajorization Polytope and Its Degeneracies

Autor:	Frederik vom Ende, Emanuel Malvetti
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	quantum thermodynamics thermal operations thermomajorization thermal equilibrium Gibbs-stochastic matrix cyclic process Science Astrophysics QB460-466 Physics QC1-999
Zdroj:	Entropy, Vol 26, Iss 2, p 106 (2024)
Druh dokumentu:	article
ISSN:	26020106 1099-4300
DOI:	10.3390/e26020106
Popis:	Drawing inspiration from transportation theory, in this work, we introduce the notions of “well-structured” and “stable” Gibbs states and we investigate their implications for quantum thermodynamics and its resource theory approach via thermal operations. It is found that, in the quasi-classical realm, global cyclic state transfers are impossible if and only if the Gibbs state is stable. Moreover, using a geometric approach by studying the so-called thermomajorization polytope, we prove that any subspace in equilibrium can be brought out of equilibrium via thermal operations. Interestingly, the case of some subsystem being in equilibrium can be witnessed via the degenerate extreme points of the thermomajorization polytope, assuming that the Gibbs state of the system is well structured. These physical considerations are complemented by simple new constructions for the polytope’s extreme points, as well as for an important class of extremal Gibbs-stochastic matrices.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/b3258bb3183d4e08abe1f7b5e8785254 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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