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UID:997c24cc116d90580fb6de88c7a2c5a3
CATEGORIES:Mathematical Physics Seminar
CREATED:20251103T103402
SUMMARY:Webinar: Tomaž  Prosen - (Deformed) Rule 54: Unusual Integrable Model
LOCATION:zoom
DESCRIPTION:<p style="text-align: center;"><strong>Tomaž&nbsp; <strong>Prosen&nbsp;</st
 rong>– University of Ljubljana</strong></p><p style="text-align: center;"><
 strong>&nbsp;</strong></p><p style="text-align: center;"><strong>Wednesday,
 &nbsp;November 19th,&nbsp;2025</strong></p><p style="text-align: center;"><
 strong>Zoom opens: 10:30AM EST</strong></p><p style="text-align: center;"><
 strong>Seminar begins: 10:45AM EST</strong></p><p style="text-align: center
 ;"><strong>&nbsp;</strong></p><p style="text-align: center;"><strong>(Defor
 med) Rule 54: Unusual Integrable Model</strong></p><p>I will discuss a fasc
 inating example of exactly solvable reversible cellular automaton in 1+1 di
 mensions, the rule 54, and two of its deformations which turn the model int
 o either quantum or stochastic cellular automaton.</p><p>Deterministic reve
 rsible rule 54 automaton provides a unique example of interacting particle 
 dynamics with exactly solvable time automorphism of the algebra of local ob
 servables and consequently exactly solvable dynamical structure factor.</p>
 <p>The (deformed) model can be interpreted as arguably the simplest integra
 ble dynamics with interaction round-a-face. Both deformations, being parame
 trixed by an arbitrary unitary or stochastic 2x2 matrix, respectively, exhi
 bit some features of integrability. The later (stochastic version) can be i
 nterpeted as a lattice discretization of deformed t-PNG (polynuclear growth
 ) model. I will discuss the construction of non-trivial conservation laws o
 f the quantum deformation and the matrix product form of the steady state o
 f the boundary driven stochastic deformation.&nbsp;</p>
CONTACT:Tomaž  Prosen
DTSTAMP:20260829T032903
DTSTART;TZID=America/New_York:20251119T104500
DTEND;TZID=America/New_York:20251119T120000
SEQUENCE:0
TRANSP:OPAQUE
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