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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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