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UID:0-792@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20211130T110000
DTEND;TZID=Europe/Paris:20211130T120000
DTSTAMP:20211128T145232Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-andrea-de-luca-lptm-4/
SUMMARY:Séminaire du LPTMS : Andrea De Luca (LPTM) - Salle des séminaires
  du FAST et du LPTMS\, bâtiment Pascal n°530 - 30 Nov 21 11:00
DESCRIPTION:Universal out-of-equilibrium dynamics of 1D noisy critical quan
 tum systems\nAndrea de Luca (Laboratoire de Physique Théorique et Modéli
 sation)\n** ZOOM SEMINAR**  (ID: 965 3800 3966\, Pw: Y8TBFQ).\nWe consid
 er critical one dimensional quantum systems initially prepared in their gr
 oundstate and perturbed by a smooth noise coupled to the energy density. B
 y using conformal field theory\, we deduce a universal description of the 
 out-of-equilibrium dynamics. In particular\, the full time-dependent dist
 ribution of any 2-pt chiral correlation function can be obtained from solv
 ing two coupled ordinary stochastic differential equations. In contrast wi
 th the general expectation of heating\, we demonstrate that the system rea
 ches a non-trivial and universal stationary state characterized by broad d
 istributions. As an example\, we analyse the local energy density: while i
 ts first moment diverges exponentially fast in time\, the stationary distr
 ibution\, which we derive analytically\, is symmetric around a negative me
 dian and exhibits a fat tail with 3/2 decay exponent. We obtain a similar
  result for the entanglement entropy production associated to a given inte
 rval of size l. The corresponding stationary distribution has a 3/2 right 
 tail for all l\, and converges to a one-sided Levy stable for large l.\nOu
 r results are benchmarked via analytical and numerical calculations for a 
 chain of non-interacting spinless fermions with excellent agreement.
CATEGORIES:seminars
LOCATION:Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal n°53
 0\, rue André Riviere\, Orsay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Riviere\, Orsay\
 , 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Salle des séminaires du FAST 
 et du LPTMS\, bâtiment Pascal n°530:geo:0,0
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DTSTART:20211031T020000
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