5 citations · 15 across the 16 of their papers we have counts for
17 papers
CTMRG as a tensor-network message-passing algorithm
Illia Lukin, Andrii Sotnikov
We formulate the corner transfer matrix equations, and the corner transfer matrix renormalization group built on them, as a set of local equations on general planar graphs. These e…
Low-rank propagation for tridiagonalizable open quantum systems: near-linear scaling with system size
Roman Ovsiannikov, Kurt Jacobs, Andrii G. Sotnikov +1
The quadratic growth of the density matrix with Hilbert-space dimension D is the central obstacle to simulating large open quantum systems. We introduce a deterministic algorithm t…
SU(4) Heisenberg model on the hyperhoneycomb lattice
I. V. Lukin, A. G. Sotnikov
We study the ground state of the SU(4) Heisenberg model on the hyperhoneycomb lattice using three-dimensional projected entangled pair states. We show that it is possible to comput…
Symplectic split-operator method for the time-dependent unitary Tavis-Cummings model
Roman Ovsiannikov, Kurt Jacobs, Andrii G. Sotnikov +1
We present a fast, memory-efficient, unitarity-preserving numerical method beyond the rotating-wave approximation for the closed Tavis-Cummings model in which a multilevel spin sys…
NV-ensemble enabled microwave/NV parametric amplifier with optimal driving
Roman Ovsiannikov, Kurt Jacobs, Andrii G. Sotnikov +2
In our recent study [arXiv:2601.03407] we showed that a hybrid non-degenerate parametric amplifier could be realized for a microwave mode and an ensemble of NV-centers (or other sp…
Towards spintronics via tunneling through asymmetric barriers
Elvira Bilokon, Valeriia Bilokon, Stanislava Litvinova +2
Spin transport typically relies on direct manipulation of the spin degree of freedom via magnetic fields, spin-orbit coupling, or engineered spin-dependent potentials. We show theo…
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,…
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…
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…
Single-layer tensor network approach for three-dimensional quantum systems
Illia Lukin, Andrii Sotnikov
Calculation of observables with three-dimensional projected entangled pair states is generally hard, as it requires a contraction of complex multi-layer tensor networks. We utilize…
Spectral gaps of two- and three-dimensional many-body quantum systems in the thermodynamic limit
Illya V. Lukin, Andrii G. Sotnikov, Jacob M. Leamer +2
We present an expression for the spectral gap, opening up new possibilities for performing and accelerating spectral calculations of quantum many-body systems. We develop and demon…