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PRODID:UW-Madison-Physics-Events
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SEQUENCE:1
UID:UW-Physics-Event-9470
DTSTART:20260430T150000Z
DTEND:20260430T230000Z
DTSTAMP:20260413T084154Z
LAST-MODIFIED:20260405T163335Z
LOCATION:5310 Chamberlin
SUMMARY:A universal model of Floquet operator Krylov Space\, R. G. Her
 b Condensed Matter Seminar\, Aditi Mitra\, NYU
DESCRIPTION:It is shown that the stroboscopic time-evolution under a F
 loquet unitary\, in any spatial dimension\, and of any Hermitian opera
 tor\, can be mapped to an operator Krylov space which is identical to 
 that generated by the edge operator of the non-interacting Floquet tra
 nsverse-field Ising model (TFIM) in one-spatial dimension\, and with i
 nhomogeneous Ising and transverse field couplings. The latter has four
  topological phases reflected by the absence (topologically trivial) o
 r presence (topologically non-trivial) of edge modes. It is shown that
  the Floquet dynamics share certain universal features characterized b
 y how the Krylov parameters vary in the topological phase diagram of t
 he Floquet TFIM with homogeneous couplings. Connections of our results
  with methods based on orthogonal polynomials on the unit circle are d
 iscussed. Applications to slow dynamics of quasi-conserved quantities 
 as well as Anderson localization and the localization-delocalization t
 ransition are presented.
URL:https://www.physics.wisc.edu/events/?id=9470
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