  The spatiotemporal vortex lattices generated in high Fresnel number
solid-state microchip lasers are studied in connection with Talbot phenomenon
generic to spatially periodic electromagnetic fields. The spatial layout of
light field is obtained via dynamical model based on Maxwell-Bloch equations
for class-B laser, discrete Fox-Lee map with relaxation of inversion and static
model based on superposition of copropagating Gaussian beams. The spatial
patterns observed experimentally and obtained numerically are interpreted as
nonlinear superposition of vortices with helicoidal phase dislocations. The
usage of vortex labyrinths and Talbot lattices as optical dipole traps for
neutral atoms is considered for the wavelength of trapping radiation in the
range 0.98 $\div$ 2.79 $\mu m$. The separable optical trapping potential is
mounted as a sum of array of vortex lines and additional parabolic subtrap. The
factorization of macroscopic wavefunction have led to analytical solution of
Gross-Pitaevski equation for ground state of ensemble of quantum particles
trapped in vortex labyrinth and in spatially - periodic array of Gaussian
beams.
