BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Dipole conserving systems - Pablo Sala\, TU Munich
DTSTART:20200714T130000Z
DTEND:20200714T140000Z
UID:TALK150034@talks.cam.ac.uk
CONTACT:nrc25
DESCRIPTION:​In the first part of the talk I will introduce the basic id
 ea of fractonic systems and show that the combination of charge and dipole
  conservation leads to an extensive fragmentation of the Hilbert space\, w
 hich\, in turn\, can lead to a breakdown of thermalization. As a concrete 
 example\, we investigate the out-of-equilibrium dynamics of one-dimensiona
 l spin-1 models that conserve charge (total Sz) and its associated dipole 
 moment\, and show that for any finite range of interactions\, the system e
 xhibits nonthermal eigenstates appearing throughout the entire spectrum. I
 n particular\, we will consider a minimal model including only three-site 
 terms and find that the infinite temperature autocorrelation saturates to 
 a finite value—showcasing nonthermal behavior.  This absence of thermali
 zation is a consequence of the *strong fragmentation* of the Hilbert space
  into exponentially many invariant subspaces in the local Sz basis\, arisi
 ng from the interplay of dipole conservation and local interactions. We wi
 ll then label these subspaces introducing the notion of `statistically loc
 alized integrals of motion' (SLIOM) and study the effects of those in the 
 dynamics. SLIOMs are not spatially localized in the operator sense\, but a
 ppear localized to sub-extensive regions when their expectation value is t
 aken in typical states with a finite density of particles. We illustrate t
 his general concept on several Hamiltonians\, both with and without dipole
  conservation\, and derive the presence of statistically localized strong 
 zero modes. If time allows\, I will motivate experimental realizations of 
 these ideas.\n\nThe talk would be based on the following works: Phys. Rev.
  X 10\, 011047 [arXiv:1904.04266]\; Phys. Rev. B 101\, 125126 [arXiv:1910.
 06341]\n
LOCATION:Zoom link distributed to CPGM subscribers
END:VEVENT
END:VCALENDAR