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Title: | Matrix elements of the dipole-dipole interaction between two two-level atoms distanced arbitrarily from each other |
Authors: | Lazur, V. Yu. Myhalyna, S.I. Rubish, V. V. Reity, О.К. Karbovanets, M.I. |
Keywords: | quantum computer, dipole-dipole interaction, effects of retardation, Fues potential. |
Issue Date: | 2019 |
Publisher: | Науковий вісник Ужгородського університету. Серія Фізика |
Citation: | Lazur V.Yu., Myhalyna S.I., Reity O.K., Rubish V.V., Karbovanets M.I., Matrix elements of the dipole-dipole interaction between two two-level atoms distanced arbitrarily from each other // Scientific Herald of Uzhhorod University. Series Physics. ‒ 2019. ‒ Iss. 45. ‒ P. 72-83. |
Series/Report no.: | 45; |
Abstract: | Purpose. As a standard model for describing the processes of a resonant transmission of quantum information on arbitrary distances is the system of two identical two-level atoms, one of which is under radiation of the field of real photons. Such a system can serve as a basis for the construction of an element basis of quantum computers. The purpose of this paper is to study the different modes of dynamics of a system of two identical two-level atoms when they interacts with the field of real photons.Methods. In this paper, we propose a general approach to the description of the processes for the transfer of quantum information from one atom-qubit to another on the arbitrary interatomic distances, which includes two types of new physical effects: the attenuation of quantum states and the retardation of the dipole-dipole interaction. Results. The optical properties of a system of two identical two-level atoms in collective (symmetric $\Psi_s$ and antisymmetric $\Psi_a$) Bell states at arbitrary interatomic distances are investigated. The closed analytical expressions for the shifts and widths of the considered collective states are considered, taking into account the retarded dipole-dipole interaction of atoms. In calculation of the radial matrix elements of the dipole-dipole interaction, the wave functions of the model Fues potential are used. Conclusions. A detailed study of the mechanisms of resonant transmission of the excitation energy at arbitrary distances between the two-element atoms has an important practical significance for the physical realization of the logical operator CNOT. |
Type: | Text |
Publication type: | Стаття |
URI: | https://dspace.uzhnu.edu.ua/jspui/handle/lib/26815 |
Appears in Collections: | Наукові публікації кафедри теоретичної фізики |
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Visnyk_45_2019.pdf | 216.46 kB | Adobe PDF | View/Open |
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