Publications

Peer-reviewed journals and preprints

• 1. Illya V. Lukin, Andrii G. Sotnikov, Jacob M. Leamer, Alicia B. Magann, Denys I. Bondar, Spectral gaps of two- and three-dimensional many-body quantum systems in the thermodynamic limit, Phys. Rev. Research 6, 023128 (2024) [arXiv:2401.14368].

  2. I.V. Lukin and A.G. Sotnikov, Single-layer tensor network approach for three-dimensional quantum systems [arXiv:2405.01489].

  3. I.V. Lukin and A.G. Sotnikov, Corner transfer matrix renormalization group approach in the zoo of Archimedean lattices, Phys. Rev. E 109, 045305 (2024)[arXiv:2401.07274].

  4. Vladyslav Unukovych and Andrii Sotnikov, Anisotropy-driven magnetic phase transitions in SU(4)-symmetric Fermi gas in three-dimensional optical lattices [arXiv:2403.04319]

  5. Pylyp Kuznietsov, Igor Girka, Igor Kyryllin, Andrii Sotnikov, Quantum education in the frontier city of Kharkiv [arXiv:2402.14302].

  6. Ilya Lukin, Andrii Sotnikov, Alexander Kruchkov, Unconventional superfluidity and quantum geometry of topological bosons, preprint [arXiv:2307.08748].

  7. Valeriia Bilokon, Elvira Bilokon, Mari Carmen Banuls, Agnieszka Cichy, and Andrii Sotnikov, Many-body correlations in one-dimensional optical lattices with alkaline-earth(-like) atoms, Sci. Rep. 13, 9857 (2023) [arXiv:2302.10854].

  8. I.V. Lukin and A.G. Sotnikov, Variational optimization of tensor-network states with the honeycomb-lattice corner transfer matrix, Phys. Rev. B 107, 054424 (2023) [arXiv:2209.03428].

  9. I.V. Lukin and A.G. Sotnikov, Continuous matrix-product states in inhomogeneous systems with long-range interactions, Phys. Rev. B 106, 144206 (2022) [arXiv:2208.02872].

  10. I.V. Lukin, Yu.V. Slyusarenko, A.G. Sotnikov, Many-body localization in a quantum gas with long-range interactions and linear external potential, Phys. Rev. B 105, 184307 (2022) [arXiv:2201.13090].

  11. Valeriia Bilokon, Elvira Bilokon, Alexander Peletminskii, and Andrii Sotnikov, Thermodynamic characteristics of ideal quantum gases in harmonic potentials within exact and semiclassical approaches, Physica A 589 2022, 126605 [arXiv:2110.03359].

  12. Vladyslav Unukovych and Andrii Sotnikov, SU(4)-symmetric Hubbard model at quarter filling: Insights from the dynamical mean-field approach, Phys. Rev. B 104, 245106 (2021) [arXiv:2107.11219].

  13. I.V. Lukin, A.G. Sotnikov, Yu.V. Slyusarenko, Aspects of Bose-Einstein condensation in a charged boson system over the dielectric surface, Phys. Lett. A 417 (2021) 127695 [arXiv:2011.10032].

  14. Mykyta Bulakhov, Alexander Peletminskii, Yurii Slyusarenko, and Andrii Sotnikov, Thermodynamics of a weakly interacting Bose gas above the transition temperature,  Phys. Scr. 96 (2021) 045401 [arXiv:2011.05628].

  15. A. Sotnikov, Y. Zambrano, and A. Cichy, Low-temperature phases in two-orbital Hubbard model realized with ultracold atoms in optical lattices, Acta Phys. Pol. A 138, 669 (2020).

  16. Andrii Sotnikov, Kyo-Hoon Ahn, and Jan Kuneš, Ferromagnetism of LaCoO3 films,  SciPost Phys. 8, 082 (2020) [arXiv:2004.00488].

  17. Andrii Sotnikov, Nelson Darkwah Oppong, Yeimer Zambrano, and Agnieszka Cichy, Orbital ordering of ultracold alkaline-earth atoms in optical lattices,  Phys. Rev. Research 2, 023188 (2020) [arXiv:2002.11333].

  18. Atsushi Hariki, Ru-Pan Wang, Andrii Sotnikov, Keisuke Tomiyasu, Davide Betto, Nicholas B. Brookes, Yohei Uemura, Mahnaz Ghiasi, Frank M. F. de Groot, and Jan Kuneš, Damping of spinful excitons in LaCoO3 by thermal fluctuations: Theory and experiment, Phys. Rev. B 101, 245162 [arXiv:1912.02564].

  19. Juan Fernández Afonso, Andrii Sotnikov, Atsushi Hariki, and Jan Kuneš, Pressure-induced spin-state ordering in Sr2CoO3F, Phys. Rev. B 99, 205118 (2019) [arXiv:1902.06509].

  20. Mykyta Bulakhov, Alexander Peletminskii, Sergey Peletminskii, Yurii Slyusarenko, and Andrii Sotnikov, Re-examining the quadratic approximation in theory of a weakly interacting Bose gas with condensate: the role of nonlocal interaction potentials, J. Phys. B: At. Mol. Opt. Phys. 51, 205302 (2018) [arXiv:1804.10398].

  21. Ru-Pan Wang, Atsushi Hariki, Andrii Sotnikov, Federica Frati, Jun Okamoto, Hsiao-Yu Huang, Amol Singh, Di-Jing Huang, Keisuke Tomiyasu, Chao-Hung Du, Jan Kuneš, Frank M. F. de Groot, Excitonic dispersion of the intermediate-spin state in LaCoO3 revealed by resonant inelastic X-ray scattering, Phys. Rev. B 98, 035149 (2018) [arXiv:1712.04906].

  22. Andrii Sotnikov, Agnieszka Cichy, and Jan Kuneš, Suppression and revival of long-range ferromagnetic order in the multiorbital Fermi-Hubbard model, Phys. Rev. B 97, 235157 (2018) [arXiv:1802.02935].

  23. J. Fernández Afonso, A. Sotnikov and J. Kuneš, Theoretical investigation of excitonic magnetism in LaSrCoO4, J. Phys.: Condens. Matter 30, 135603 (2018), [arXiv:1712.03774].

  24. A. Sotnikov and J. Kuneš, Competing phases in a model of Pr-based cobaltites, Phys. Rev. B 96, 245102 (2017), [arXiv:1710.04467].

  25. A. Golubeva, A. Sotnikov, A. Cichy, J. Kuneš, and W. Hofstetter, Breaking of SU(4) symmetry and interplay between strongly correlated phases in the Hubbard model, Phys. Rev. B 95, 125108 (2017), [arXiv:1612.06258].

  26. A.G. Sotnikov, K.V. Sereda, and Y.V. Slyusarenko, Chemical potentials and thermodynamic characteristics of the ideal Bose and Fermi gases in the region of quantum degeneracy, Low Temp. Phys. 43, 144 (2017) [English translation], Fizika Nizk. Temp. 43, 172 (2017) [Russian original].

  27. A. Sotnikov and J. Kuneš, Field-induced exciton condensation in LaCoO3, Sci. Rep. 6, 30510 (2016), [arXiv:1604.01997].

  28. Yu.V. Slyusarenko and A.G. Sotnikov, Unique effects in a response of ultracold atomic gases of alkali-metal atoms in the state with a Bose-Einstein condensate to the perturbation by an external electromagnetic field, Visn. Nac. Acad. Nauk Ukr. 7, 19 (2016) [in Ukrainian].

  29. A. Cichy and A Sotnikov, Orbital magnetism of ultracold fermionic gases in a lattice: Dynamical mean-field approach, Phys. Rev. A 93, 053624 (2016), [arXiv:1602.08031].

  30. A. Sotnikov, Perspectives of optical lattices with state-dependent tunneling in approaching quantum magnetism in the presence of the external harmonic trapping potential, Phys. Lett. A 380, 1184 (2016), [arXiv:1509.05162].

  31. A. Golubeva, A. Sotnikov and W. Hofstetter, Effects of anisotropy in simple lattice geometries on many-body properties of ultracold fermions in optical lattices, Phys. Rev. A 92, 043623 (2015) [arXiv:1505.02733].

  32. A. Sotnikov, Critical entropies and magnetic-phase-diagram analysis of ultracold three-component fermionic mixtures in optical lattices, Phys. Rev. A 92, 023633 (2015) [arXiv:1506.07642].

  33. A. Sotnikov and W. Hofstetter, Magnetic ordering of three-component ultracold fermionic mixtures in optical lattices, Phys. Rev. A 89, 063601(2014) [arXiv:1402.3397].

  34. A. Sotnikov, M. Snoek, and W. Hofstetter, Magnetic phases of mass- and population-imbalanced ultracold fermionic mixtures in optical lattices, Phys. Rev. A 87, 053602 (2013) [arXiv:1301.1691].

  35. A. Sotnikov, D. Cocks, and W. Hofstetter, Advantages of mass-imbalanced ultracold fermionic mixtures for approaching quantum magnetism in optical lattices, Phys. Rev. Lett. 109, 065301 (2012) [arXiv:1203.4658].

  36. A.G. Sotnikov, On some peculiarities of propagation of weak electromagnetic pulses in Bose-Einstein condensates of alkali-metal atoms, Optics and Spectroscopy 111 (4), pp. 675–682 (2011).

  37. Y. Slyusarenko and A. Sotnikov, Propagation of relativistic charged particles in ultracold atomic gases with Bose-Einstein condensates, Phys. Rev. A 83, 023601 (2011) [arXiv:1011.5156].

  38. Yu.V. Slyusarenko and A.G. Sotnikov, Feasibility of using Bose-Einstein condensates for filtering optical pulses, Low Temp. Phys. 36, 671 (2010).

  39. A. Sotnikov, Magnetic field dependence and the possibility to filter ultraslow light pulses in atomic gases with Bose–Einstein condensates, Phys. Scr. T140, 014061 (2010) [arXiv:1010.5900].

  40. Y.Slyusarenko and A. Sotnikov, Microscopic approach in the description of slowing of electromagnetic pulses in BEC of alkalis, Int. J. Mod. Phys. B23, 409 (2009).

  41. Y. Slyusarenko and A. Sotnikov, Role of temperature effects in the phenomenon of ultraslow electromagnetic pulses in Bose-Einstein condensates of alkali-metal atoms, Phys. Rev. A 80,  053604 (2009). [arXiv:0911.3261]

  42. Y.Slyusarenko, A. Sotnikov, Possibility of controlling the light speed in a Bose condensate by an external static magnetic field, Phys. Lett. A373, 1392 (2009).

  43. Y.V.Slyusarenko and A.G. Sotnikov, Microwaves interaction peculiarities with the ideal gas of alkali atoms in BEC state, J. Low Temp. Phys. 150, 618 (2008).

  44. Y. Slyusarenko and A. Sotnikov, Green-function method in the theory of ultraslow electromagnetic waves in an ideal gas with Bose-Einstein condensates, Phys. Rev. A 78, 053622 (2008). [arXiv:0901.2425]

  45. Yu.V. Slyusarenko and A.G. Sotnikov, On the influence of the internal structure of the atom on Bose–Einstein condensation in an ideal gas of hydrogenlike atoms, Low Temp. Phys. 33, 30 (2007).

  46. Yu.V.Slyusarenko and A.G. Sotnikov, The ideal gas of hydrogen-like atoms response to the perturbation by the external electromagnetic field, Probl. At. Sc. and Technol. 3, 390 (2007).

  47. Yu.V.Slyusarenko, A.G. Sotnikov, On the response of a system with bound states of particles to the perturbation by the external electromagnetic field, Condensed Matter Phys. 9, 459 (2006) [arXiv:0702637].

Books and Chapters in Collections

• Peletmynskiy, O., Slyusarenko, Y., Sotnikov, A. (2023) Theory of exotic states in quantum Fermi and Bose systems. Kyiv, Naukova Dumka. 480 p. [in Ukrainian, publisher's webpage, pdf].

• Y. Slyusarenko and A. Sotnikov, Microscopic approach in the description of slowing of electromagnetic pulses in BEC of alkalis, Chapter in book “Condensed Matter Theories”, Editor: Feodor Kusmartsev, World Scientific, 2010, Volume 24, p.175-186.

• Yu. Slyusarenko and A. Sotnikov, Description of the Ultraslow Light Phenomenon in Atomic Bose Condensates in the Framework of the Microscopic Approach. Applied Physics in the 21st Century (Horizons in World Physics, Volume 269), Nova Science Publishers, New York, 2010 [link].

Popular Science (in Ukrainian)

• Yu. Slyusarenko and A. Sotnikov, Captivating Physics of the Captured Quantum Gases. Universitates 60, pp. 4-11 (2015) [pdf].

• Yu. Slyusarenko and A. Sotnikov, Ultracold Quantum Gases: Unique Effects, Novel Technologies and Tasks. Svitogliad 51, pp. 20-27 (2015).