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SUMMARY:Billy Braasch (QuICS\, UMD)
DTSTART:20240713T140000Z
DTEND:20240713T160000Z
DTSTAMP:20260423T011112Z
UID:QMFNoT/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QMFNoT/56/">
 Non-Abelian transport distinguishes three usually equivalent notions of en
 tropy production</a>\nby Billy Braasch (QuICS\, UMD) as part of QM Foundat
 ions & Nature of Time seminar\n\n\nAbstract\nA fundamental challenge is to
  define quantum thermodynamic quantities—for example\, heat\, work\, and
  entropy production. We extend the definition of entropy production to a d
 eeply quantum regime involving noncommuting observables [1]. Consider two 
 systems prepared in different thermal states. A unitary transports observa
 bles (“charges”) between the systems. Three common formulae model the 
 entropy produced. They cast entropy as an extensive thermodynamic variable
 \, an information-theoretic uncertainty measure\, and a quantifier of irre
 versibility. Often\, the charges are assumed to commute with each other (e
 .g.\, energy and particle number)\, and the entropy-production formulae eq
 ual each other. Yet quantum charges can fail to commute\, inviting general
 izations of the three formulae. Charges’ noncommutation\, we find\, brea
 ks the formulae’s quivalence. Furthermore\, different formulae quantify 
 different physical effects of charges’ noncommutation on entropy product
 ion. This work opens the door of stochastic thermodynamics to charges that
  are peculiarly quantum by failing to commute with each other.\n
LOCATION:https://researchseminars.org/talk/QMFNoT/56/
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