| Variational optimization of tensor-network states with the honeycomb-lattice corner transfer matrix IV Lukin, AG Sotnikov Physical Review B 107 (5), 054424, 2023 | 19 | 2023 |
| Corner transfer matrix renormalization group approach in the zoo of Archimedean lattices IV Lukin, AG Sotnikov Physical Review E 109 (4), 045305, 2024 | 10 | 2024 |
| Unconventional superfluidity and quantum geometry of topological bosons I Lukin, A Sotnikov, A Kruchkov arXiv preprint arXiv:2307.08748, 2023 | 7 | 2023 |
| Many-body localization in a quantum gas with long-range interactions and linear external potential IV Lukin, YV Slyusarenko, AG Sotnikov Physical Review B 105 (18), 184307, 2022 | 7 | 2022 |
| Single-layer tensor network approach for three-dimensional quantum systems IV Lukin, AG Sotnikov Physical Review B 110 (6), 064422, 2024 | 5 | 2024 |
| Aspects of Bose-Einstein condensation in a charged boson system over the dielectric surface IV Lukin, AG Sotnikov, YV Slyusarenko Physics Letters A 417, 127695, 2021 | 5 | 2021 |
| Spectral gaps of two-and three-dimensional many-body quantum systems in the thermodynamic limit IV Lukin, AG Sotnikov, JM Leamer, AB Magann, DI Bondar Physical Review Research 6 (2), 023128, 2024 | 4 | 2024 |
| Continuous matrix-product states in inhomogeneous systems with long-range interactions IV Lukin, AG Sotnikov arXiv preprint arXiv:2208.02872, 2022 | 4 | 2022 |
| Entanglement scaling in matrix product state representation of smooth functions and their shallow quantum circuit approximations V Bohun, I Lukin, M Luhanko, G Korpas, PJS De Brouwer, M Maksymenko, ... arXiv preprint arXiv:2412.05202, 2024 | 3 | 2024 |
| Scalable and shallow quantum circuits encoding probability distributions informed by asymptotic entanglement analysis V Bohun, I Lukin, M Luhanko, G Korpas, PJS De Brouwer, M Maksymenko, ... arXiv e-prints, arXiv: 2412.05202, 2024 | 2 | 2024 |
| Physics-informed time series analysis with Kolmogorov-Arnold Networks under Ehrenfest constraints A Sen, IV Lukin, K Jacobs, L Kaplan, AG Sotnikov, DI Bondar arXiv preprint arXiv:2509.18483, 2025 | 1 | 2025 |
| Application of Langevin dynamics to advance the Quantum Natural Gradient optimization algorithm O Borysenko, M Bratchenko, I Lukin, M Luhanko, I Omelchenko, ... Physica A: Statistical Mechanics and its Applications, 131158, 2025 | | 2025 |
| Dimerization in the SU (4) Heisenberg model on the cubic lattice: iPEPS study I Lukin, A Sotnikov arXiv preprint arXiv:2510.00284, 2025 | | 2025 |
| Dispersion Relations in Two-and Three-Dimensional Quantum Systems V Bilokon, E Bilokon, I Lukin, A Sotnikov, D Bondar arXiv preprint arXiv:2509.15483, 2025 | | 2025 |
| Many-body localization in a quantum Ising model with the long-range interaction: Accurate determination of the transition point I Lukin, A Sotnikov, AL Burin arXiv preprint arXiv:2505.20159, 2025 | | 2025 |
| Variational optimization of iPEPS with CTMRG on the original lattice I Lukin US-Ukraine Quantum Forum 2023, 27, 2023 | | 2023 |
Andrii SotnikovITP NSC KIPT, Kharkiv, Ukraine; V.N. Karazin National University, Kharkiv, UkraineVerified email at kipt.kharkov.ua
