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SUMMARY:Exploring the Mysteries of Collective Quantum Dynamics - Michael K
 nap\, TU Munich
DTSTART:20210311T140000Z
DTEND:20210311T150000Z
UID:TALK155638@talks.cam.ac.uk
CONTACT:Jan Behrends
DESCRIPTION:In equilibrium\, the concept of universality has been largely 
 exploited to understand phase transitions and their collective behavior. H
 owever\, much less is known about universal properties in the far-from equ
 ilibrium dynamics of strongly interacting quantum matter. In this talk\, w
 e will discuss some universal aspects of non-equilibrium quantum dynamics 
 focussing on transport. The simplest approach to the problem is to posit a
  dichotomy between ergodic and non-ergodic dynamics. In the former case\, 
 fast relaxation to a local equilibrium is followed by slow diffusion of gl
 obally conserved quantities according to the laws of hydrodynamics. By con
 trast\, transport can be absent in systems with a large number of emergent
  local conservation laws\, as exemplified by many-body localization in str
 ongly disordered quantum systems. Recent investigations\, however\, sugges
 t considerable refinements for this classification. In this talk\, we will
  discuss that in systems\, which conserve the dipole moment of an associat
 ed global charge\, transport becomes subdiffusive. Such dipole conserving 
 systems are relevant for fracton phases of quantum matter\, that are chara
 cterized by excitations with restricted mobility. We explain these finding
 s by analytically constructing a general hydrodynamic model\, yielding an 
 accurate description of the scaling form of charge correlation functions. 
 We will furthermore discuss experimentally relevant signatures of such hig
 her-moment conserving systems.
LOCATION:Details of video conferencing will be distributed nearer the time
 .
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