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SUMMARY:I.V. Ermakov
DTSTART:20240910T120000Z
DTEND:20240910T133000Z
DTSTAMP:20260423T022734Z
UID:QOART/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QOART/48/">P
 olynomially restricted operator growth in dynamically integrable models</a
 >\nby I.V. Ermakov as part of Quantum Optics and Related Topics\n\n\nAbstr
 act\nWe provide a framework to determine the upper bound to the complexity
  of a computing a given observable with respect to a Hamiltonian. By consi
 dering the Heisenberg evolution of the observable\, we show that each Hami
 ltonian defines an equivalence relation\, causing the operator space to be
  partitioned into equivalence classes. Any operator within a specific clas
 s never leaves its equivalence class during the evolution. We provide a me
 thod to determine the dimension of the equivalence classes and evaluate it
  for various models\, such as the XY chain and Kitaev model on trees. Our 
 findings reveal that the complexity of operator evolution in the XY model 
 grows from the edge to the bulk\, which is physically manifested as suppre
 ssed relaxation of qubits near the boundary. Our methods are used to revea
 l several new cases of simulable quantum dynamics\, including a XY-ZZ mode
 l which cannot be reduced to free fermions.\n
LOCATION:https://researchseminars.org/talk/QOART/48/
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