[INCT-IQ-Comunicados] Seminário - Angela Capel

Lista de Comunicados INCT-IQ inctiq-comunicados at listas.if.ufrj.br
Thu Nov 3 17:26:09 BRST 2022


Prezados colegas

A próxima QPequi Talks será (virtualmente) ministrada pela Dr. Angela 
Capel (University of Tübingen), dia 10/11 às 10 horas da manhã. Abaixo 
encontram-se as informações sobre a palestra, inclusive o link para quem 
tiver interesse em acompanhar.

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Rapid thermalization of spin chain commuting Hamiltonians

Given a thermal quantum dissipative evolution modelled by a quantum 
Markov semigroup, its mixing time can be bounded via the optimal 
constant of the so-called "modified logarithmic Sobolev inequality" 
(MLSI), which can be interpreted as the exponential decay rate for the 
relative entropy between an evolved state and the thermal equilibrium. 
In this talk, we will show that spin chains weakly coupled to a large 
heat bath thermalize rapidly at any temperature for finite-range, 
translation-invariant commuting Hamiltonians, reaching equilibrium in a 
time which scales logarithmically with the system size. From a physical 
point of view, this result rigorously establishes the absence of 
dissipative phase transition for Davies evolutions over 
translation-invariant spin chains. The result also applies in the case 
of Symmetry Protected Topological phases where the evolution is 
respecting the symmetry of the phase. This has wide-ranging applications 
to the study of many-body in and out-of-equilibrium quantum systems.

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The talk will happen virtually on the following Zoom link:

https://us06web.zoom.us/j/89236385492?pwd=dUppTTh3cUh6b0YrbUh3dWFOV1IrQT09

Meeting ID: 892 3638 5492
Passcode: 956398.

and also will be streamed through our YouTube channel:
https://www.youtube.com/watch?v=D1RII8RFyPM [1]

Até breve,
-- 

-------------------------

Prof. Lucas Chibebe Céleri
Institute of Physics, UFG
Head of Physics Graduate Program
Head of QPequi research group
www.qpequi.com [2]

Links:
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[1] https://www.youtube.com/watch?v=D1RII8RFyPM
[2] http://www.qpequi.com
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