5 papers
Recursion method for quench dynamics: strengths and limitations
Ilya Shirokov, Viacheslav Khrushchev, Filipp Uskov +3
The recursion method, which solves coupled Heisenberg equations in a Lanczos operator basis, has recently emerged as a powerful nonperturbative tool for computing dynamical correla…
Symbolic recursion method for strongly correlated fermions in two and three dimensions
Igor Ermakov, Oleg Lychkovskiy
We present a symbolic implementation of recursion method for the dynamics of strongly correlated fermions on one-, two- and three-dimensional lattices. Focusing on two paradigmatic…
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…
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…
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…