Condensed matter theory, quantum information theory
Main publications:
O. Lychkovskiy, O. Gamayun, V. Cheianov, “Timescale for adiabaticity breakdown in
driven many-body systems and orthogonality catastrophe”, Phys. Rev. Lett., 119 (2017), 200401
O. Lychkovskiy, “Perpetual motion and driven dynamics of a mobile impurity in a quantum fluid”, Phys. Rev. A, 91 (2015), 040101
O. Gamayun, O. Lychkovskiy, and V. Cheianov, “Kinetic theory for a mobile impurity in a degenerate
Tonks-Girardeau gas”, Phys. Rev. E, 90 (2014), 032132
O. Lychkovskiy, “Dependence of decoherence-assisted classicality on the way a system is partitioned into
subsystems”, Phys. Rev. A, 87 (2013), 022112
O. Lychkovskiy, “Necessary condition for the thermalization of a quantum system coupled to a quantum
bath”, Phys. Rev. E, 82 (2010), 012028
E. Burovski, V. Cheianov, O. Gamayun, O. Lychkovskiy, “Momentum relaxation of a mobile impurity in a one-dimensional quantum gas”, Phys. Rev. A, 89 (2014), 041601 , 5 pp.
O. Gamayun, O. Lychkovskiy, V. Cheianov, “Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas”, Phys. Rev. E, 90 (2014), 032132 , 12 pp.
Oleksandr Gamayun, Oleg Lychkovskiy, Evgeni Burovski, Matthew Malcomson, Vadim V. Cheianov, Mikhail B. Zvonarev, “Impact of the Injection Protocol on an Impurity’s Stationary State”, Phys. Rev. Lett., 120:22 (2018), 220605 , 6 pp.
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 (2005), 79–94
Oleksandr Gamayun, Oleg Lychkovskiy, Mikhail B. Zvonarev, “Zero temperature momentum distribution of an impurity in one-dimensional Fermi and Tonks–Girardeau gases”, SciPost Phys., 8 (2020), 53 , 37 pp.
Oleksandr Gamayun, Artur Slobodeniuk, Jean-Sébastien Caux, Oleg Lychkovskiy, “Nonequilibrium phase transition in transport through a driven quantum point contact”, Phys. Rev. B, 103 (2021), 41405 , 19 pp., arXiv: 2006.02400
O. Lychkovskiy, “Dependence of decoherence-assisted classicality on the way a system is partitioned into subsystems”, Phys. Rev. A, 87 (2013), 022112 , 7 pp.
A. D. Dolgov, O. V. Lychkovskiy, A. A. Mamonov, L. B. Okun, M. G. Schepkin, “Neutrino wave function and oscillation suppression”, Eur. Phys. J. C, 44 (2005), 431–434
O. Gamayun, O. Lychkovskiy, V. Cheianov, “Reply to ‘Comment on ’Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas’’”, Phys. Rev. E, 92 (2015), 016102 , 2 pp.
Oleg Lychkovskiy, “A remark on the notion of independence of quantum integrals of motion in the thermodynamic limit”, J. Stat. Phys., 178 (2020), 1028–1038
N. Il'in, E. Shpagina, F. Uskov, O. Lychkovskiy, “Squaring parametrization of constrained and unconstrained sets of quantum states”, J. Phys. A, 51 (2018), 85301 , 19 pp., arXiv: 1704.03861
Alexander Teretenkov, Oleg Lychkovskiy, “Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars”, Phys. Rev. B, 110 (2024), 241105 , 8 pp.
F. Uskov, O. Lychkovskiy, “A variational lower bound on the ground state of a many-body system and the squaring parametrization of density matrices”, JPCS, 1163 (2019), 12057 , 9 pp., arXiv: 1902.09246
Oleksandr Gamayun, Oleg Lychkovskiy, “Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via coupled Heisenberg equations”, SciPost Phys., 12 (2022), 175 , 14 pp.
Vera V. Vyborova, Oleg Lychkovskiy, Alexey N. Rubtsov, “Droplet formation in a one-dimensional system of attractive spinless fermions”, Phys. Rev. B, 98 (2018), 235407
N. Il'in, O. Lychkovskiy, “Quantum speed limits for adiabatic evolution, Loschmidt echo and beyond”, Internat. J. Theoret. Phys., 60 (2021), 640–649 , arXiv: 1805.04083
O. Lychkovskiy, S. Blinnikov, M. Vysotsky, “TeV-scale bileptons, see-saw type II and lepton flavor violation in core-collapse supernova”, Eur. Phys. J. C, 67 (2010), 213-237
I. V. Ermakov, O. V. Lychkovskiy, “Effect of Dephasing on the Current through a Periodically Driven Quantum Point Contact”, JETP Letters, 119 (2024), 40–45
36.
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, 53 (2020), 75301 , 10 pp.
Oleksandr V. Gamayun, Oleg V. Lychkovskiy, “A Map between Time-Dependent and Time-Independent Quantum Many-Body Hamiltonians”, Proc. Steklov Inst. Math., 313 (2021), 41–51
38.
O. Lychkovskiy, “Large quantum superpositions of a nanoparticle immersed in superfluid helium”, Phys. Rev. B, 93 (2016), 214517 , 4 pp.
N. Il'in, A. Aristova, O. Lychkovskiy, “Quantum speed limits for an open system in contact with a thermal bath”, Phys. Rev. A, 110 (2024), 22203 , 10 pp., arXiv: 2302.13639
44.
O. Lychkovskiy, “Entangling problem Hamiltonian for adiabatic quantum computation”, Lobachevskii J. Math., 43:7 (2022), 1704–1710
45.
Ivan V. Dudinets, Igor Ermakov, Oleg Lychkovskiy, “Testing eigenstate decoherence hypothesis in a model of collisional decoherence”, EPL, 134:6 (2021), 60004 , 7 pp.
46.
N. Il'in, E. Shpagina, O. Lychkovskiy, “Thermodynamics at zero temperature: Inequalities for the ground state of a quantum many-body system”, Phys. Lett. A, 414 (2021), 127637 , 5 pp.
47.
Oleg Lychkovskiy, Decoherence at the level of eigenstates, 2017 , arXiv: 1712.04384
48.
B. Leggio, O. Lychkovskiy, A. Messina, “On the merit of a Central Limit Theorem-based approximation in statistical physics”, J. Stat. Phys., 146 (2012), 1274–1287