6 papers
Hybrid non-degenerate parametric amplifier for a microwave cavity mode and an NV ensemble
Roman Ovsiannikov, Kurt Jacobs, Andrii G. Sotnikov +2
We introduce an implementation of a non-degenerate parametric amplifier in which the signal and idler modes, respectively, a microwave mode and an ensemble of spins (e.g., nitrogen…
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,…
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…
Few-fermion resonant tunneling and underbarrier trapping in asymmetric potentials
Elvira Bilokon, Valeriia Bilokon, Dusty R. Lindberg +3
Understanding quantum tunneling in many-body systems is crucial for advancing quantum technologies and nanoscale device design. Despite extensive studies of quantum tunneling, the…