From the 1 of 7 linked papers with an AI index.
7 papers
QCommute: a tool for symbolic computation of nested commutators in quantum many-body spin-1/2 systems
Oleg Lychkovskiy, Viacheslav Khrushchev, Ilya Shirokov
QCommute is a C++ software tool that symbolically computes nested commutators between Hamiltonians and local observables for spin‑1/2 many‑body systems on hypercubic lattices, work…
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…
All-to-all connectivity of Rydberg-atom-based quantum processors with messenger qubits
Ivan V. Dudinets, Stanislav S. Straupe, Aleksey K. Fedorov +1
Rydberg atom arrays are a front-running platform for quantum processors. A major challenge threatening the scalability of this platform is the limited qubit connectivity due to the…
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…