Vestnik of Samara University. Natural Science SeriesVestnik of Samara University. Natural Science Series2541-75252712-8954Samara National Research University920010.18287/2541-7525-2020-26-4-68-75Research ArticleQUANTUM DYNAMICS OF THE CUBIT SYSTEM IN EXTERNAL FIELDSGorokhovA. V.<p>Doctor of Physical and Mathematical Sciences, professor of the Department of General and Theoretical Physics</p>alvgorokhov@gmail.comhttps://orcid.org/0000-0002-6908-1166EremenkoG. I.<p>student of the Department of General and Theoretical Physics</p>phys.geom@gmail.comhttps://orcid.org/0000-0002-5801-9463Samara National Research University0712202026468751708202117082021Copyright © 2021, Gorokhov A.V., Eremenko G.I.2021<p>A system of two dipole-dipole interacting two-level elements (qubits) in external fields is considered. It is shown that using the coherent states (CS) of the dynamic symmetry group of the SU(2)SU(2) system, the time evolution can be reduced to the "classical" dynamics of the complex parameters of the CS. The trajectories of the CS are constructed and the time dependences of the probability of finding qubits at the upper levels are calculated.</p>когерентные состояниягруппа динамической симметрииквантовая динамикамногообразие Кэлеракубитдвухуровненый атомдиполь-дипольное взаимодействиеcoherent statesdynamical symmetry groupquantum dynamicsKahler manifoldqubitstwo-level atomdipole–dipole interaction[[1] Berezin F.A. Covariant and contravariant symbols of operators. Mathematics of the USSR-Izvestiya, 1972, vol. 6, no. 5, pp. 1117–1151. DOI: http://dx.doi.org/10.1070/IM1972v006n05ABEH001913. (English; Russian original)][[2] Perelomov A.M. Generalized coherent states and their applications. Moscow: Nauka, 1986, 272 p. Available at: http://inis.jinr.ru/sl/vol2/Ax-books/Disk_02/MDManiac-2/Perelomov_Coherent-States.pdf. (In Russ.)][[3] Gorokhov A.V. Coherent States and Path Integrals for Model Hamiltonians in Quantum Optics. Bulletin of the Russian Academy of Sciences Physics, 2016, vol. 80, no. 7, pp. 788–794. DOI: http://dx.doi.org/10.3103/S1062873816070157.][[4] Gorokhov A.V. Symmetry principles and quantum dynamics. Samara: Izd-vo «Samarskii universitet», 2015, 220 p. Available at: http://repo.ssau.ru/bitstream/Uchebnye-posobiya/Matematicheskie-metody-sovremennoi-kvantovoioptiki-Elektronnyi-resurs-elektron-ucheb-posobie-68550/1/Горохов%20А.В.%20Математические.pdf. (In Russ.)]