Refereed: 

[42] N. Il’in, A. Aristova, O. Lychkovskiy, Adiabatic theorem for closed quantum systems initialized at finite temperature, accepted to Phys. Rev. A (2021)  arXiv:2002.02947

[41] I. V. Dudinets, I. Ermakov, O. Lychkovskiy, Testing eigenstate decoherence hypothesis in a model of collisional decoherence, EPL 134 60004 (2021)

[40] O. Gamayun, A. Slobodeniuk, J.-S. Caux, O. Lychkovskiy, Nonequilibrium phase transition in transport through a driven quantum point contact, Phys. Rev. B 103, L041405 (2021)

[39] O. Lychkovskiy, Closed hierarchy of Heisenberg equations in integrable models with Onsager algebra, SciPost Phys. 10, 124 (2021)

[38] N. Il’in, O. Lychkovskiy, Quantum speed limit for thermal states, Phys. Rev. A 103, 062204 (2021)

[37] N. Il’in, E. Shpagina, O. Lychkovskiy, Thermodynamics at zero temperature: inequalities for the groundstate of a quantum many-body system, Phys. Lett. A 414,127637 (2021) arXiv:2011.00839

[36] I. Dudinets, I. Ermakov, O. Lychkovskiy, Testing eigenstate decoherence hypothesis in a model of collisional decoherence, EPL 134, 60004 (2021)

[35] O. Gamayun, O. Lychkovskiy, A map between time-dependent and time-independent quantum many-body Hamiltonians, Proceedings of the Steklov Institute of Mathematics, 313, 41 (2021)  arXiv:2009.13873 

[34] O. Gamayun, O. Lychkovskiy, M. Zvonarev. Zero temperature momentum distribution of an impurity in one-dimensional Fermi and Tonks-Girardeau gases // SciPost Phys. 8, 053 (2020).

[33] O. Gamayun, O. Lychkovskiy, J.-S. Caux. Fredholm determinants, full counting statistics and Loschmidt echo for domain wall profiles in one-dimensional free fermionic chains // SciPost Phys. 8, 036 (2020).

[32] N. Il’in, O. Lychkovskiy. Quantum speed limits for adiabatic evolution, Loschmidt echo and beyond // accepted and published online in Int. J. Theor. Phys. (2020).

[31] O. Lychkovskiy. A remark on the notion of independence of quantum integrals of motion in the thermodynamic limit //J. Stat. Phys. 178, 1028 (2020).

[30] E. Shpagina, F. Uskov, N. Il’in, O. Lychkovskiy. Merits of using density matrices instead of wave functions in the stationary Schrödinger equation for systems with symmetries // J. Phys. A: Math. Theor. 53, 075301 (2020).

[29] F. Uskov, O. Lychkovskiy. A variational lower bound on the ground state of a many-body system and the squaring parametrization of density matrices // J. Phys.: Conf. Ser. 1163, 012057 (2019).

[28] O. Gamayun, O. Lychkovskiy, E. Burovski, M. Malcomson, V. Cheianov, M. Zvonarev. Impact of the injection protocol on an impurity’s stationary state // Phys. Rev. Lett. 120, 220605 (2018).

[27] V. Vyborova, O. Lychkovskiy, A. Rubtsov. Droplet formation in a one-dimensional system of attractive spinless fermions // Phys. Rev. B 98, 235407 (2018).

[26] O. Lychkovskiy, B. Fine. Spin excitation spectrum of high-temperature cuprate superconductors fr om finite cluster simulations // J. Phys.: Condens. Matter 30, 405801 (2018).

[25] O. Lychkovskiy, O. Gamayun, V. Cheianov. Necessary and sufficient condition for quantum adiabaticity in a driven one-dimensional impurity-fluid system // Phys. Rev. B 98, 024307 (2018).

[24] N. Il’in, E. Shpagina, F. Uskov, O. Lychkovskiy. Squaring parametrization of constrained and unconstrained sets of quantum states // J. Phys. A: Math. Theor. 51, 085301 (2018).

[23] O. Lychkovskiy A necessary condition for quantum adiabaticity applied to the adiabatic Grover search // Journal of Russian Laser Research 39, 552 (2018).

[22] O. Lychkovskiy, O. Gamayun, V. Cheianov. Quantum Many-Body Adiabaticity, Topological Thouless Pump and Driven Impurity in a One-Dimensional Quantum Fluid // AIP Conf. Proc. 1936, 020024 (2018).

[21] O. Lychkovskiy, O. Gamayun, V. Cheianov. Time scale for adiabaticity breakdown in driven many-body systems and orthogonality catastrophe // Phys. Rev. Lett. 119, 200401 (2017).

[20] O. Lychkovskiy. Large quantum superpositions of a nanoparticle immersed in superfluid helium // Phys. Rev. B 93, 214517 (2016).

[19] O. Lychkovskiy. Perpetual motion and driven dynamics of a mobile impurity in a quantum fluid // Phys. Rev. A 91, 040101 (Rapid Communications) (2015).

[18] O. Gamayun, O. Lychkovskiy, and V. Cheianov. Reply to ‘Comment on ’Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas’’ // Phys. Rev. E 92, 016102 (2015).

[17] O. Gamayun, O. Lychkovskiy, and V. Cheianov. Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas // Phys. Rev. E 90, 032132 (2014).

[16] E. Burovski, V. Cheianov, O. Gamayun, and O. Lychkovskiy. Momentum relaxation of a mobile impurity in a one-dimensional quantum gas // Phys. Rev. A 89, 041601 (Rapid Communications) (2014).

[15] O. Lychkovskiy. Perpetual motion of a mobile impurity in a one-dimensional quantum gas // Phys. Rev. A 89, 033619 (2014).

[14] E. Safonov and O. Lychkovskiy. Spin dynamics in finite cyclic XY model // Phys. Rev. A 87, 042105 (2013).

[13] O. Lychkovskiy. Dependence of decoherence-assisted classicality on the way a system is partitioned into subsystems // Phys. Rev. A 87, 022112 (2013).

[12] B. Leggio, O. Lychkovskiy and A. Messina. On the merit of a Central Lim it Theorem-based approximation in statistical physics // J. Stat. Phys 146, 1274 (2012).

[11] O. Lychkovskiy and M. Vysotsky. μ ! e decay versus μ ! eee bound and lepton flavor violating processes in supernova // JETP 114, 382 (2012).

[10] O. Lychkovskiy. Entanglement and Relaxation in Exactly Solvable Models // Optics and Spectroscopy 111, 713 (2011).

[9] O. Lychkovskiy. Entanglement, decoherence and thermal relaxation in exactly solvable models // J. Phys. Conf. Ser. 306, 012028 (2011).

[8] O. Lychkovskiy. Necessary condition for the thermalization of a quantum system coupled to a quantum bath // Phys. Rev. E 82, 011123 (2010).

[7] O. Lychkovskiy, S. Blinnikov and M. Vysotsky. TeV-scale bileptons, see-saw type II and lepton flavor violation in core-collapse supernova // Eur. Phys. J. C 67, 213(2010).

[6] O. Lychkovskiy and S. Blinnikov. Spin flip of neutrinos with magnetic moment in core-collapse supernova // Phys. of Atom. Nucl., 73, 614 (2010).

[5] O. Lychkovskiy. Neutrino oscillations: Deriving the plane-wave approximation in the wave-packet approach // Phys. of Atom. Nucl. 72, 1557 (2009).

[4] O. Lychkovskiy. Purity sieve for models with factorizable interactions // J. Phys. Conf. Ser. 174,012030 (2009).

[3] B. Kerbikov, O. Lychkovskiy. Neutron-Mirror-Neutron Oscillations in a Trap // Phys. Rev. C 77,065504 (2008).

[2] A.D. Dolgov, O.V. Lychkovskiy, A.A. Mamonov, L.B. Okun and M.G. Schepkin. Neutrino wave function and oscillation suppression // Eur. Phys. J. C 44, 431 (2005).

[1] A.D. Dolgov, O.V. Lychkovskiy, A.A. Mamonov, L.B. Okun, M.V. Rotaev, M.G. Schepkin. Oscillations of neutrinos produced and detected in crystals // Nucl. Phys. B 729, 79 (2005).

Not refereed/Preprints:

[44] O. Lychkovskiy. Non-diagonal problem Hamiltonian for adiabatic quantum computation // arXiv1811.09453 (2018)

[43] O. Lychkovskiy. Decoherence at the level of eigenstates // arXiv 1712.04384 (2017)