2 citations · 5 across the 6 of their papers we have counts for
7 papers
Symbolic recursion method for strongly correlated fermions in two and three dimensions
Igor Ermakov, Oleg Lychkovskiy
We present a symbolic implementation of the recursion method for dynamical correlations and transport in fermionic systems on one-, two-, and three-dimensional lattices. The implem…
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…
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…
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…
Unified framework for efficiently computable quantum circuits
Igor Ermakov, Oleg Lychkovskiy, Tim Byrnes
Quantum circuits consisting of Clifford and matchgates are two classes of circuits that are known to be efficiently simulatable on a classical computer. We introduce a unified fram…
Effect of dephasing on the current through a periodically driven quantum point contact
Igor Ermakov, Oleg Lychkovskiy
We consider two one-dimensional quantum magnets linked by a periodically driven quantum point contact (QPC). If magnets are initially polarized in opposite directions, one exp…