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SUMMARY:Ali Mollabashi (YITP)
DTSTART:20221214T110000Z
DTEND:20221214T120000Z
DTSTAMP:20260423T024551Z
UID:FHD-4/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FHD-4/7/">Ti
 me Scaling of Entanglement in Integrable Scale-Invariant Theories</a>\nby 
 Ali Mollabashi (YITP) as part of Frontiers of Holographic Duality-4\n\n\nA
 bstract\nIn two-dimensional conformal field theories (isotropic scale-inva
 riant theories)\, the time scaling of the entanglement entropy of a segmen
 t is fixed via conformal symmetry. I will talk about anisotropic scale- in
 variance between time and space. The anisotropy is parametrized by z\, the
  so-called dynamical critical exponent. I will show that in anisotropic in
 tegrable theories with z>1\, most of the entanglement is carried by slow m
 odes. At early times entanglement grows linearly due to the contribution o
 f the fast modes\, before smoothly entering a slow mode regime where it gr
 ows forever with t^{1/(1&#65293\;z)}. I present numerical results for corr
 esponding scalar and fermion lattice models which show extremely good agre
 ement with our analytical results. Due to the dominance of the slow modes 
 in these non-relativistic theories\, local quantum information is "weakly"
  scrambled independently of the dynamical exponent. This "weak" scrambling
  is stronger than its counterpart in integrable relativistic theories.\n
LOCATION:https://researchseminars.org/talk/FHD-4/7/
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