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DTSTAMP:20260424T143437Z
UID:1657203300@ist.ac.at
DTSTART:20220707T161500
DTEND:20220707T171500
DESCRIPTION:Speaker: Cambyse Rouzé\nhosted by Jan Maas / Haonan Zhang\nAbs
 tract: The strong subadditivity (SSA) of the von Neumann entropy and the d
 ata processing inequality (DPI) of Umegaki's relative entropy lie at the h
 eart of quantum information theory. While the former can be interpreted as
  a statement about the correlations between two quantum systems from the p
 oint of view of a third party\, the latter expresses the intuitive fact th
 at noise cannot increase the information content of a given signal. In thi
 s talk\, I will show that generalizations of SSA beyond the setting of tri
 partite systems lead to refinements of DPI. Then\, I will apply these find
 ings to show a generalization to the quantum setting of a seminal result o
 f Holley and Stroock establishing that spin chains weakly coupled to a lar
 ge heat bath thermalize rapidly at any positive temperature for finite-ran
 ge\, translation-invariant commuting Hamiltonians\, reaching equilibrium i
 n a time which scales logarithmically with the system size. In particular\
 , this represents an exponential improvement over bounds based on the non-
 closure of the spectral gap. From a physical point of view\, this result r
 igorously establishes the absence of dissipative phase transition for Davi
 es evolutions over translation-invariant spin chains. 
LOCATION:Mondi 2 (I01.01.008)\, Central Building\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Cambyse Rouzé: Thermalization of quantum spin chains: an entropic 
 perspective
URL:https://talks-calendar.ista.ac.at/events/3851
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