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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:Tomaž  Prosen – University of Ljubljana\n \nWednesday, November 19th, 2025\
 nZoom opens: 10:30AM EST\nSeminar begins: 10:45AM EST\n \n(Deformed) Rule 5
 4: Unusual Integrable Model\nI will discuss a fascinating example of exactl
 y solvable reversible cellular automaton in 1+1 dimensions, the rule 54, an
 d two of its deformations which turn the model into either quantum or stoch
 astic cellular automaton.\nDeterministic reversible rule 54 automaton provi
 des a unique example of interacting particle dynamics with exactly solvable
  time automorphism of the algebra of local observables and consequently exa
 ctly solvable dynamical structure factor.\nThe (deformed) model can be inte
 rpreted as arguably the simplest integrable dynamics with interaction round
 -a-face. Both deformations, being parametrixed by an arbitrary unitary or s
 tochastic 2x2 matrix, respectively, exhibit some features of integrability.
  The later (stochastic version) can be interpeted as a lattice discretizati
 on of deformed t-PNG (polynuclear growth) model. I will discuss the constru
 ction of non-trivial conservation laws of the quantum deformation and the m
 atrix product form of the steady state of the boundary driven stochastic de
 formation. \n
X-ALT-DESC;FMTTYPE=text/html:<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:20260828T094307
DTSTART;TZID=America/New_York:20251119T104500
DTEND;TZID=America/New_York:20251119T120000
SEQUENCE:0
TRANSP:OPAQUE
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