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UID:20260415T075909EDT-06072Hf3N8@132.216.98.100
DTSTAMP:20260415T115909Z
DESCRIPTION:Seminar Physique Mathématique\n	En ligne/Web - Svp remplir ce fo
 rmulaire/Please fill in this form: https://forms.gle/S1NcNQ8BxkzfAXcj9\n\n
 Title: Hilbert Space Fragmentation\n\nAbstract:Strong interactions and fru
 stration often lead to dynamically constrained excitations of quantum matt
 er. Examples include spin-ice compounds whose spin moments are aligned to 
 fulfill a local ice rule\, frustrated quantum magnets with dimerized excit
 ations\, and fracton phases with excitations that are only mobile in certa
 in directions if at all. Here\, we will discuss that the combination of ch
 arge and dipole conservation\, a characteristic of fractonic quantum matte
 r\, leads to an extensive fragmentation of the Hilbert space\, which in tu
 rn can lead to a breakdown of thermalization. We characterize such a Hilbe
 rt space fragmentation by introducing `statistically localized integrals o
 f motion' (SLIOM)\, whose eigenvalues label the connected components of th
 e Hilbert space. SLIOMs are not spatially localized in the operator sense\
 , but appear localized to sub-extensive regions in space when their expect
 ation value is taken in typical states with a finite density of particles.
  Furthermore\, we discuss that there exist perturbations which destroy the
 se integrals of motion in the bulk of the system\, while keeping them on t
 he boundary. This results in statistically localized strong zero modes\, l
 eading to infinitely long-lived edge magnetizations along with a thermaliz
 ing bulk\, constituting the first example of such strong edge modes in a n
 on-integrable model. We also discuss that in a particular example\, these 
 edge modes lead to the appearance of topological string order in a certain
  subset of highly excited eigen states. A variant of these models can be r
 ealized in Rydberg quantum simulators.\n
DTSTART:20210216T203000Z
DTEND:20210216T213000Z
SUMMARY:Michael Knap (Technical University of Munich)
URL:https://www.mcgill.ca/mathstat/channels/event/michael-knap-technical-un
 iversity-munich-328382
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