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quant-ph2026
Classical periodic trajectories and quantum scars in many-spin systems
Igor Ermakov, Oleg Lychkovskiy, Boris V. Fine
We numerically investigate the stability of exceptional periodic classical trajectories in rather generic chaotic many-body systems and explore a possible connection between these…
quant-ph2025
Polynomially restricted operator growth in dynamically integrable models
Igor Ermakov, Tim Byrnes, Oleg Lychkovskiy
We provide a framework to determine the upper bound to the complexity of a computing a given observable with respect to a Hamiltonian. By considering the Heisenberg evolution of th…
quant-ph2025
Symbolic operator growth and recursion method for spin-S Ising and q-states Potts models
Igor Ermakov
Operator growth is well understood for systems with a two-dimensional local Hilbert space, and much less so beyond them, where an operator can grow not only spatially but also in d…