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Information × Registration Number 0221U104746, 0119U100335 , R & D reports Title Topological properties of chiral matter and Bose-Ainstein's condensates in a magnetic field. popup.stage_title Head Gorbar Eduard V., Доктор фізико-математичних наук Registration Date 07-04-2021 Organization Taras Shevchenko National University of Kyiv popup.description2 Object of research: Weyl semimetals, Bose-Einstein condensates of ultracold atoms, electromagnetic fields in the early universe. Purpose: to investigate topologically nontrivial superconducting states in Dirac and Weil semimetals; to determine the influence of nonlinear dynamics of quantum vortices on the process of merging of two ring Bose-Einstein condensates with different initial values ​​of vorticity; to investigate the influence of the Schwinger effect on magnetogenesis in an inflation model with a kinetic relationship using a system of quantum kinetic equations. Research methods: formalism of Green's quantum field functions, quantum-kinetic approach, numerical methods. A superconducting s-wave state in Weyl semimetals in a strong pseudomagnetic field induced by mechanical deformations was studied in a model with a local four-fermion interaction. It was found that in the approximation of the lowest Landau pseudolevel, only superconducting pairing between different Weyl nodes is possible. Although the slit equation has only a trivial solution, superconductivity can be induced by the proximity effect with a conventional s-wave spin-singlet superconductor. The fusion of two parallel toroidal atomic Boseinstein condensates with different vortices in a three-dimensional trap is considered. The final state of the condensate crucially depends on the initial imbalance of the populations in the rings, as well as on the shape of the three-dimensional potential of the trap. A system of quantum kinetic equations describing the Schwinger birth of scalar particles has been used to study inflationary magnetogenesis in a kinetic relationship model. It is found that the electric current of the born particles is delayed with respect to the electric field, which leads to the oscillatory behavior of both quantities.  Product Description popup.authors Vilchinskii Stanislav Yo. Gorkavenko Tetiana V. Momot Andrii I. Prykhodko Olena O. Sobol Oleksandr O. Chumachenko Artem V. Yakymenko Oleksandr І. popup.nrat_date 2021-04-07 Close