Vortex phase diagram of F=1 spinor Bose-Einstein condensates

We have calculated the F=1 ground state of a spinor Bose-Einstein condensate trapped harmonic potential with an applied Ioffe-Pitchard magnetic field. The vortex phase diagram is found in the plane spanned by perpendicular and longitudinal magnetic fields. The ferromagnetic condensate has two vortex phases which differ by winding number in the spinor components. The two vortices for the F(z)=-1 antiferromagnetic condensate are separated in space. Moreover, we considered an average local spin || to testify to what extent it is parallel to magnetic field (the nonadiabatic effects). We have shown that the effects are important at vortex cores.     

Bound states in photonic Fabry-Perot resonator comprised of two nonlinear off-channel defects

JETP Letters - Two off-channel nonlinear defects coupled to the photonic waveguide constitute the Fabry-Perot interferometer (FPR). The defects are made from a Kerr-like nonlinear material. For the...     

The effect of bound states in microwave waveguides on electromagnetic wave propagation

The transmission of a TE microwave field with a frequency ω through Λ, T, and X waveguide junctions filled with a ferromagnetic is considered. These junctions are known to have bound states with below-cutoff frequencies. A probing microwave radiation with a frequency Ω applied to the scattering region generates magnetic oscillations with frequencies ω+nΩ (where n=0, ±1, ±2, ...), which resonantly combine with the bound waveguide states. This effect provides for a new method of studying bound waveguide states and efficiently controlling the transmission of microwave radiation.     

Bound states in photonic Fabry-Perot resonator comprised of two nonlinear off-channel defects

Two off-channel nonlinear defects coupled to the photonic waveguide constitute the Fabry-Perot interferometer (FPR). The defects are made from a Kerr-like nonlinear material. For the linear case such a FPR can support the bound states in the form of standing waves between the defects if the distance between them is quantized. For the nonlinear case the bound states appear for arbitrary distance between the defects however for an quantized electromagnetic intensity. For the transmission through FPR we reveal new resonances and show these are a result of coupling of the bound states with incident wave because of nonlinearity of the defects. The resonances are spaced at the eigen frequencies of bound states.     

Statistics of eigenfunctions of chaotic billiards taking account of the Rashba spin-orbit interaction

It is demonstrated, both analytically and numerically, that eigenfunction statistics in chaotic billiards with spin-orbit interaction fundamentally depend on the ratio of the squared spin-orbit interaction constant. If this ratio is small, one of the eigenstate components is a random Gaussian field, whereas another is not universal and depends on the billiard type. In the opposite case, the statistics of both components is described by the independent random complex Gaussian fields with the same variances. In the intermediate case, both eigenfunction components do not satisfy Gaussian statistics.     

Thermodynamics of solition configurations in a two-dimensional model for displacive phase transition

A mean field theory of soliton contribution of two-dimensional scalar field ₄–₂ into the partition function is developed. Interacting two-dimensional soliton configurations (SC) are imitated as charged contours coupled through a massive field. A thermodynamics of these contours is considered with the help of integration over an auxiliary field. It is shown that the soliton excitations are responsible for the phase transition but not the phonon excitations even in the displacive limit.