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UID:0-1018@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20250304T110000
DTEND;TZID=Europe/Paris:20250304T120000
DTSTAMP:20250218T134803Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-nicolas-loizeau-copenhagen/
SUMMARY:Séminaire du LPTMS : Nicolas Loizeau (Copenhagen) - Salle des sém
 inaires du FAST et du LPTMS\, bâtiment Pascal n°530 - 4 Mar 25 11:00
DESCRIPTION:Opening Krylov space to solve long time dynamics via dynamical 
 symmetries\nNicolas Loizeau (Copenhagen)\n&nbsp\;\nSolving long time dynam
 ics of closed quantum many-body systems is one of the main challenges of t
 he field. For locally interacting closed systems\, the dynamics of local o
 bservables can always be expanded into (pseudolocal) eigenmodes of the the
 rmodynamic Liouvillian\, so called dynamical symmetries. These dynamical s
 ymmetries come in two classes - transient operators\, which decay in time 
 and perpetual operators\, which either oscillate forever or stay the same 
 (conservation laws). These operators provide a full characterization of sh
 ort and long time dynamics of the system.\nI will present a method to nume
 rically and analytically derive some of these dynamical symmetries in infi
 nite closed systems by introducing a naturally emergent open boundary cond
 ition on the Krylov chain. This boundary condition defines a partitioning 
 of the Krylov space into system and environment degrees of freedom\, where
  non-local operators make up an effective bath for the local operators.\nW
 e demonstrate the practicality of the method on some numerical examples an
 d derive analytical results in two idealized cases. Our approach lets us d
 irectly relate the operator growth hypothesis to thermalization and expone
 ntial decay of observables in chaotic systems.
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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