9 citations · 16 across the 11 of their papers we have counts for
12 papers
QCommute: a tool for symbolic computation of nested commutators in quantum many-body spin-1/2 systems
Oleg Lychkovskiy, Viacheslav Khrushchev, Ilya Shirokov
We present QCommute, a software tool implemented in C++ for symbolic computation of nested commutators between a Hamiltonian and local observables in quantum many-body spin-1/2 sys…
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…
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…
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…
Fermionic transport through a driven quantum point contact: breakdown of Floquet thermalization beyond a critical driving frequency
Ivan V. Dudinets, Oleg Lychkovskiy
We study a quantum system that consists of two fermionic chains coupled by a driven quantum point contact (QPC). The QPC contains a bond with a periodically varying tunneling ampli…
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…
Pseudomode expansion of many-body correlation functions
Alexander Teretenkov, Filipp Uskov, Oleg Lychkovskiy
We present an expansion of a many-body correlation function in a sum of pseudomodes -- exponents with complex frequencies that encompass both decay and oscillations. The pseudomode…
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…
Entangling problem Hamiltonian for adiabatic quantum computation
Oleg Lychkovskiy
Adiabatic quantum computation starts from embedding a computational problem into a Hamiltonian whose ground state encodes the solution to the problem. This problem Hamiltonian, $H_…
On the merit of a Central Limit Theorem-based approximation in statistical physics
Bruno Leggio, Oleg Lychkovskiy, Antonino Messina
The applicability conditions of a recently reported Central Limit Theorem-based approximation method in statistical physics are investigated and rigorously determined. The failure…