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X-FROM-URL:https://eom.sdu.dk/events/ical/6daf4c06-deeb-4576-b2ab-e70ee8cb
 85d9
X-WR-CALNAME:Quantum Geometry of Many-Body Dynamics with Continuous Symmet
 ries
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20261112T113840Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: ​Sanjay Moudgalya [/b](Tata Institute of Fundament
 al Research)\n\nSymmetries in quantum many-body systems are typically cha
 racterized by their algebraic structure. In this talk\, I will show that 
 for continuous symmetries such as U(1) and SU(2)\, there are underlying q
 uantum geometric structures that play central roles in many-body dynamics
 . We demonstrate this in noisy Brownian models of unitary quantum dynamic
 s\, focusing on entanglement entropies and correlation functions. By mapp
 ing the disorder-averaged late-time dynamics to the low-energy physics of
  effective replica Hamiltonians\, we show that the dynamics is governed b
 y the quantum geometry of their ground-state manifolds. This geometry is\
 , in turn\, directly related to that of the [i]k[/i]-commutants—the symme
 try algebras acting on [i]k[/i] replicas of the system—and is independent
  of microscopic details of the noisy evolution. This perspective enables 
 simple geometric derivations\, based on the time-dependent variational pr
 inciple (TDVP)\, of several characteristic dynamical phenomena\, includin
 g sub-ballistic Rényi entanglement growth and the anomalous decay of non-
 hydrodynamic correlators in interacting systems with continuous symmetrie
 s. We compare these behaviors across interacting systems with Abelian and
  non-Abelian continuous symmetries\, as well as free-fermion systems\, wh
 ose distinct dynamics can be traced to differences in the geometry of the
 ir [i]k[/i]-commutants. More broadly\, these results establish a geometri
 c framework for systematically understanding observables and universal dy
 namical behavior in noisy quantum systems with continuous symmetries.
DTEND:20260921T140000Z
DTSTAMP:20261112T113840Z
DTSTART:20260921T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:Quantum Geometry of Many-Body Dynamics with Continuous Symmetries
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