Non-Abelian Transport Distinguishes Three Usually Equivalent Notions of Entropy Production
Twesh Upadhyaya,
William F. Braasch,
Gabriel T. Landi
et al.
Abstract:We extend entropy production to a deeply quantum regime involving noncommuting conserved quantities. Consider a unitary transporting conserved quantities (“charges”) between two systems initialized in thermal states. Three common formulas model the entropy produced. They respectively cast entropy as an extensive thermodynamic variable, as an information-theoretic uncertainty measure, and as a quantifier of irreversibility. Often, the charges are assumed to commute with each other (e.g., energy and particle num… Show more
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