5 citations · 15 across the 16 of their papers we have counts for
7 papers · 1 filter
Dimerization in the SU(4) Heisenberg model on the cubic lattice: iPEPS study
Illia Lukin, Andrii Sotnikov
We study SU(4)-symmetric Heisenberg model on the cubic lattice with spatially anisotropic magnetic couplings. We utilize several approaches based on the tensor-network representati…
Observables in Motion: A guide to simulating classical and quantum dynamics
Denys I. Bondar, Gerard McCaul, Andrii Sotnikov
We present a pedagogical work-in-progress. This textbook aims to introduce Hilbert space representations for quantum and classical dynamics, outlining the mathematical foundations,…
Physics-informed time series analysis with Kolmogorov-Arnold Networks under Ehrenfest constraints
Abhijit Sen, Illya V. Lukin, Kurt Jacobs +3
The prediction of quantum dynamical responses lies at the heart of modern physics. Yet, modeling these time-dependent behaviors remains a formidable challenge because quantum syste…
Dispersion Relations in Two- and Three-Dimensional Quantum Systems
Valeriia Bilokon, Elvira Bilokon, Illya Lukin +2
Extracting momentum-resolved excitation spectra in strongly correlated quantum systems remains a major challenge, especially beyond one spatial dimension. We present an efficient t…
Predicting Entanglement Entropy from Particle Tunneling of Interacting Fermions Using Kolmogorov-Arnold Networks
Elvira Bilokon, Valeriia Bilokon, Abhijit Sen +3
Entanglement entropy is a fundamental measure of quantum correlations and a key resource underpinning advances in quantum information and many-body physics. We uncover a universal…
Many-body localization in a quantum Ising model with the long-range interaction: Accurate determination of the transition point
Illia Lukin, Andrii Sotnikov, Alexander L. Burin
Many-body localization (MBL) transition emerges at strong disorder in interacting systems, separating chaotic and reversible dynamics. Although the existence of MBL transition with…
Enhancement of superconducting pairing via quantum Lyapunov control
Oleksandr Povitchan, Denys I. Bondar, Andrii G. Sotnikov
We demonstrate that quantum Lyapunov control provides an effective strategy for enhancing superconducting correlations in the Fermi-Hubbard model without requiring careful paramete…