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UID:a0719d0263093ac8cbacc73c9adb1849
CATEGORIES:Mathematical Physics Seminar
CREATED:20250604T122728
SUMMARY:Webinar: Simone Warzel – Rapid thermalization of toric codes
LOCATION:Zoom
DESCRIPTION:Simone Warzel –   Technical University of Munich\n \nWednesday, June 18th ,
  2025\nZoom opens: 10:30AM DST\nSeminar begins: 10:45AM DST\n \nRapid therm
 alization of toric codes\n \nToric codes are prominent examples of quantum 
 Hamiltonians that promise to encode quantum information in their ground sta
 tes stably.  In contact with a heat bath, the code’s quantum state will eve
 ntually converge to a Gibbs state. We investigate the mixing time of this p
 rocess when described by a Davis quantum Markovian semigroup. We establish 
 a bound on the mixing time in the high-temperature regime, which is logarit
 hmic in the system's size, thereby placing this class of quantum models on 
 par with classical results on Glauber dynamics. This is done by establishin
 g a modified logarithmic Sobolev inequality. \nIn this talk, I will explain
  the models, the basic concepts, and the ideas behind the above result  (jo
 int work with Angela Capel, Cambyse Rouze and Sebastian Stengele).\n
X-ALT-DESC;FMTTYPE=text/html:<p style="text-align: center;"><strong>Simone Warzel –&nbsp; &nbsp;Technica
 l University of Munich</strong></p><p style="text-align: center;"><strong>&
 nbsp;</strong></p><p style="text-align: center;"><strong>Wednesday,&nbsp;Ju
 ne 18th ,&nbsp;2025</strong></p><p style="text-align: center;"><strong>Zoom
  opens: 10:30AM DST</strong></p><p style="text-align: center;"><strong>Semi
 nar begins: 10:45AM DST</strong></p><p style="text-align: center;"><strong>
 &nbsp;</strong></p><p style="text-align: center;"><strong>Rapid thermalizat
 ion of toric codes</strong></p><p style="text-align: center;"><strong>&nbsp
 ;</strong></p><p>Toric codes are prominent examples of quantum Hamiltonians
  that promise to encode quantum information in their ground states stably.&
 nbsp; In contact with a heat bath, the code’s quantum state will eventually
  converge to a Gibbs state. We investigate the mixing time of this process 
 when described by a Davis quantum Markovian semigroup. We establish a bound
  on the mixing time in the high-temperature regime, which is logarithmic in
  the system's size, thereby placing this class of&nbsp;quantum models on pa
 r with classical results on Glauber dynamics. This is done by establishing 
 a modified logarithmic Sobolev inequality.&nbsp;</p><p>In this talk, I will
  explain the models, the basic concepts, and the ideas behind the above res
 ult&nbsp; (joint work with Angela Capel, Cambyse Rouze and Sebastian&nbsp;S
 tengele).</p>
CONTACT:Simone Warzel
DTSTAMP:20260829T034551
DTSTART;TZID=America/New_York:20250618T104500
DTEND;TZID=America/New_York:20250618T120000
SEQUENCE:0
TRANSP:OPAQUE
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