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UID:0-1077@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20251210T140000
DTEND;TZID=Europe/Paris:20251210T153000
DTSTAMP:20251204T094258Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/informal-quantum-
 seminar-guido-giachetti-lpens/
SUMMARY:Informal Quantum Seminar: Guido Giachetti (LPENS) - Salle des sémi
 naires du FAST et du LPTMS\, bâtiment Pascal n°530 - 10 Déc 25 14:00
DESCRIPTION:Integrable Dynamics and Thermalization in the Quantum O(n) Mode
 l at Large-n  \nGuido Giachetti (LPENS)\n&nbsp\;\n\nThe quantum O(n) mode
 l has long served as a valuable framework for studying both equilibrium an
 d dynamical properties of quantum many-body systems. In this talk\, we inv
 estigate its non-equilibrium dynamics following a quantum quench in the la
 rge-n limit. While the model is known to be tractable in this regime\, we 
 show that it is in fact integrable - with integrals of motions stemming fr
 om that of the classical Neumann model - thus enabling a complete analytic
 al solution of its dynamics. This integrability reveals a synchronization 
 mechanism that gives rise to persistent oscillations\, interpretable as Hi
 ggs modes localized at the edge of the spectral band. We further demonstra
 te that the long-time behavior is governed by a Generalized Gibbs Ensemble
  (GGE)\, in contrast to previous expectations\, and we obtain exact critic
 al exponents differing from those commonly reported. Remarkably\, integrab
 ility persists even in the presence of long-range couplings\, allowing us 
 to explore the crossover between mean-field and genuinely many-body regime
 s in terms of parametric Floquet resonances of the microscopic degrees of 
 freedom.
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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