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UID:0-1138@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20261012T143000
DTEND;TZID=Europe/Paris:20261012T173000
DTSTAMP:20260923T075014Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/soutenance-de-the
 se-de-federico-gerbino/
SUMMARY:Soutenance de thèse de Federico Gerbino - Grand amphi\, bâtiment 
 Pascal n° 530 - 12 Oct 26 14:30
DESCRIPTION:Universal dynamics of monitored quantum and classical systems\n
 Federico Gerbino\n&nbsp\;\n\nThis thesis investigates the dynamics of info
 rmation in monitored quantum and classical systems\, focussing on its univ
 ersal aspects. While in classical settings measurements do not affect the 
 system’s evolution\, in the quantum case they actively drive the dynamic
 s. In particular\, they suppress entanglement and\, starting from a many-b
 ody mixed state\, they lead to a pure state: this process is called purifi
 cation. The first part of the thesis studies the purification dynamics of 
 quantum many-body systems through effective random-matrix models. The rota
 tional invariance in Hilbert space yields\, in continuous time\, a Dyson B
 rownian motion description\, while in discrete time it leads to an algebra
 ic formulation. We derive predictions for entanglement entropies in an app
 ropriate scaling limit\, revealing distinct universality classes associate
 d with unitary and orthogonal invariance. We further analyse monitored Cli
 fford circuits\, belonging to a distinct universality class. The second pa
 rt of the thesis develops classical analogues of monitored dynamics from a
  Bayesian perspective. We consider an observer tracking a random walker fr
 om noisy position measurements and updating the posterior occupation proba
 bility distribution using Bayes’ theorem. We use the Shannon entropy of 
 the posterior distribution as our main observable. On the Cayley tree\, th
 e Shannon entropy undergoes a transition from a regime where it grows line
 arly in time to one where it remains bounded. In one dimension\, the conti
 nuum limit description of the monitored dynamics allows the use of exact r
 esults from Kardar-Parisi-Zhang physics. We compute the behaviour of the S
 hannon entropy in various regimes. Together\, these results clarify how th
 e competition between measurements and information spreading gives rise to
  universal behaviour across quantum and classical settings.\n\nJury : John
  Chalker (rapporteur)\, Andrea De Luca (co-directeur de thèse)\, Satya Ma
 jumdar\, Sara Murciano\, Pedro Ribeiro\, Grégory Schehr\, Christophe Texi
 er (directeur de thèse)\, Pierpaolo Vivo (rapporteur)
CATEGORIES:seminars
LOCATION:Grand amphi\, bâtiment Pascal n° 530\, rue André Rivière\, Ors
 ay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Rivière\, Orsay
 \, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Grand amphi\, bâtiment Pasca
 l n° 530:geo:0,0
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