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UID:0-859@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20230207T150000
DTEND;TZID=Europe/Paris:20230207T160000
DTSTAMP:20230202T091400Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-sanjay-moudgalya-caltech/
SUMMARY:Séminaire du LPTMS : Sanjay Moudgalya (Caltech) - Petit amphi\, b
 âtiment Pascal n° 530 - 7 Fév 23 15:00
DESCRIPTION:Unconventional Symmetries from Commutant Algebras\nSanjay Moudg
 alya (Caltech)\nSpecial time: 3pM!\nZoom seminar:\n\n\nhttps://cnrs.zoom.u
 s/j/98434226211?pwd=dGJHSlgrNDNhbDcyUE1KdzBSQjc1Zz09\n\nMeeting ID: 984 34
 22 6211\nPasscode: RbqTd5\n\n\n\nThe study of symmetry lies at the heart o
 f various parts of physics. In equilibrium physics\, symmetries are useful
  in classifying phases of matter and in non-equilibrium physics\, they are
  necessary to understand the phenomenon of thermalization. Most symmetries
  conventionally studied in the literature are examples of so-called on-sit
 e unitary symmetries. While such symmetries are sufficient to explain seve
 ral physical phenomena\, the recent discovery of weak ergodicity breaking 
 in quantum many-body systems\, particularly the phenomena of Hilbert Space
  Fragmentation and Quantum Many-Body Scars\, has called for a generalizati
 on of the notion of symmetry. The conventional theory of thermalization i
 n quantum many-body systems demands that all states within a given symmetr
 y sector can be connected to each other under the dynamics of the system.
  However\, quantum many-body systems exhibiting weak ergodicity breaking 
 possess additional closed subspaces that are dynamically disconnected from
  the rest of the Hilbert space. These subspaces cannot be explained in ter
 ms of conventional symmetries\, which leads to a breakdown of conventional
  thermalization in such systems. In this talk\, I will discuss a general 
 mathematical framework to define symmetries based on so-called commutant a
 lgebras\, which leads to a generalization of the notion of symmetry beyond
  the conventional ones. This provides a precise explanation of weak ergodi
 city breaking in terms of unconventional non-local symmetries\, allows us 
 to cast various different dynamical phenomena in the literature into a si
 ngle unified framework\, and also opens up several questions on symmetries
 .\n\nReferences:\nhttps://arxiv.org/abs/2108.10324\nhttps://arxiv.org/abs/
 2209.03370\nhttps://arxiv.org/abs/2209.03377
CATEGORIES:seminars
LOCATION:Petit 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=Petit amphi\, bâtiment Pasca
 l n° 530:geo:0,0
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