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SUMMARY:Integrable dynamics and thermalization in the quantum O(n) model a
 t large-n
DTSTART:20260218T133000Z
DTEND:20260218T143000Z
DTSTAMP:20260502T040100Z
UID:indico-event-49042@agenda.infn.it
DESCRIPTION:Speakers: Guido Giachetti\n\nThe quantum O(n) model has long s
 erved as a valuable framework for studying both equilibrium and dynamical 
 properties of quantum many-body systems. In this talk\, we investigate its
  non-equilibrium dynamics following a quantum quench in the large-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 from that of t
 he classical Neumann model - thus enabling a complete analytical solution 
 of its dynamics. This integrability reveals a synchronization mechanism th
 at gives rise to persistent oscillations\, interpretable as Higgs modes lo
 calized at the edge of the spectral band. We further demonstrate that the 
 long-time behavior is governed by a Generalized Gibbs Ensemble (GGE)\, in 
 contrast to previous expectations\, and we obtain exact critical exponents
  differing from those commonly reported. Remarkably\, integrability persis
 ts even in the presence of long-range couplings\, allowing us to explore t
 he crossover between mean-field and genuinely many-body regimes in terms o
 f parametric Floquet resonances of the microscopic degrees of freedom.\n\n
 https://agenda.infn.it/event/49042/
URL:https://agenda.infn.it/event/49042/
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