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SUMMARY:The entanglement membrane in exactly solvable lattice models - Mic
 hael Rampp\, MPIPKS
DTSTART:20240502T130000Z
DTEND:20240502T140000Z
UID:TALK215803@talks.cam.ac.uk
CONTACT:Gaurav
DESCRIPTION:Entanglement membrane theory is an effective coarse-grained de
 scription of entanglement dynamics and operator growth in chaotic quantum 
 many-body systems. The fundamental quantity characterizing the membrane is
  the entanglement line tension. However\, determining the entanglement lin
 e tension for microscopic models is in general exponentially difficult. We
  compute the entanglement line tension in a recently introduced class of e
 xactly solvable yet chaotic unitary circuits\, so-called generalized dual-
 unitary circuits\, obtaining a non-trivial form that gives rise to a hiera
 rchy of velocity scales with $v_E<v_B$. For the lowest level of the hierar
 chy\, DU2 circuits\, the entanglement line tension can be computed entirel
 y\, while for the higher levels the solvability is reduced to certain regi
 ons in spacetime. This partial solvability nevertheless constrains the dyn
 amics inside the inaccessible region. Finally\, we discuss a general frame
 work of constructing lattice models with solvable dynamics.\nOur results s
 hed light on entanglement membrane theory in microscopic Floquet lattice m
 odels and enable us to perform non-trivial checks on the validity of its p
 redictions by comparison to exact and numerical calculations. Moreover\, t
 hey demonstrate that generalized dual-unitary circuits display a more gene
 ric form of information dynamics than dual-unitary circuits.
LOCATION:TCM Seminar Room
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