Fig 2 - uploaded by V. N. Ryzhov
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The total energies of configurations a and b, Ea/(ω1) (solid line) and E b /(ω1) (dashed line), as functions of log 10 (N2/N1).
Source publication
We review our papers devoted to theoretical studies of the behavior of mixtures of ultracold atoms in optomagnetic traps.
We discuss the phase separation and vortexlike states in mixtures of bosonic atoms and also the stability and vortexlike states
in Bose-Fermi mixtures with attraction between the components.
Citations
The modulational instability (MI) of continuous waves is exclusively addressed theoretically and numerically in a two-component Bose-Einstein condensate in the presence of a mixture of Rashba and Dresselhaus (RD) spin-orbit couplings and the Lee-Huang-Yang (LHY) term. The linear stability analysis is utilized to derive an expression for the MI growth rate. It is revealed that instability can be excited in the presence of the RD spin-orbit coupling under conditions where nonlinear and dispersive effects are suitably balanced. Analytical predictions are confirmed via direct numerical simulations, where MI is manifested by the emergence of soliton-molecules that include four-peaked solitons and more exotic vortex structures that are very sensitive to variations in spin-orbit coupling strengths. Our study suggests that MI is a suitable mechanism for generating matter waves through multi-peaked solitons of various geometries.
Various theoretical studies of condensed matter conducted at the Institute for High Pressure Physics, RAS (IHPP) over the last 50 years has been demonstrated. The IHPP Theoretical Department became the first research center in Russia to employ first principle computational methods which involved no fitting parameters. The researchers at IHPP use modern theoretical methods to determine structural sequence in simple metals under pressure. The theoretical aspect considered were structural transitions, chemical bonding, superconductivity, electrical resistance and other properties. The cluster model description of liquid-glass transition is an application of spin-glass-theoretical method that was made possible by using the distribution function method, that the oriental interaction of cluster changes sign as a function of cluster size.
