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Information × Registration Number 0211U013125, 0111U006446 , R & D reports Title Supersymmetric field theory models, superstrings and higher spins popup.stage_title Head Bolotin Yuri L'vovich, Registration Date 27-12-2011 Organization Institute for Theoretical Physics of National Science Center "Kharkov Institute of Physics and Technology" popup.description2 Analytical calculations of phase transitions in AdS3 Maxwell-scalar system, modeling a holographic superconductor, are performed in the probe limit of BTZ black hole background. Estimated values of the phase transition critical temperature and of the scalar boundary operator are compared with that obtained in numerical simulations. We discuss extensions of the model to topologically massive QED3 and to inclusion of external magnetic field. The latter becomes possible through the Barnett-London and the Lense-Thirring effects, but the former does not lead to any viable modifications. The standard setup of a holographic superconductor is extended to a rotating 2D holographic superconductor, and the main characteristics of the phase transition are calculated in the probe limit and in the small angular momentum approximation. We evaluate the feedback of the superconductor rotation on the phase transition and find the set of parameters, which lower the critical temperature in compare to the non-rotating case, or make it slightly higher. We propose a non-perturbative approach to the description of the temporal dynamics of localized states. This approach is based on exactly solvable quantum mechanical models with multi-well potentials and their propagators. States of Hamiltonians with multi-well potentials form a suitable basis for the expansion of wave packets with different forms and localizations. We also consider the properties of the tunneling of wave packets, taking into account all states of Hamiltonians with symmetric and asymmetric potentials, as well as their dependence on the degree of localization and deformations of potentials. The study the dynamics of initially localized states shows, that applicability of the two-state approximation for the description of tunneling is considerably limited. This is especially true for the systems, which have several states in the under–barrier region, as for example in modern superconducting quantum interference devices and traps for cold atoms. Product Description popup.authors Єрохін Д.А. Березовий В.П. Гершун В.Д. Лемець О.А. Нурмагамбетов О.Ю. Сорока В.О. popup.nrat_date 2020-04-02 Close