1,381 research outputs found
Adiabatic dynamics of periodic waves in Bose-Einstein condensate with time dependent atomic scattering length
Evolution of periodic matter waves in one-dimensional Bose-Einstein
condensates with time dependent scattering length is described. It is shown
that variation of the effective nonlinearity is a powerful tool for controlled
generation of bright and dark solitons starting with periodic waves.Comment: 4 pages, 1 figur
Bright solitons in Bose-Einstein condensates with field-induced dipole moments
We introduce an effectively one-dimensional (1D) model of a bosonic gas of
particles carrying collinear dipole moments which are induced by an external
polarizing field with the strength periodically modulated along the coordinate,
which gives rise to an effective nonlocal nonlinear lattice in the condensate.
The existence, shape and stability of bright solitons, appearing in this model,
are investigated by means of the variational approximation and numerical
methods. The mobility of solitons and interactions between them are studied
too.Comment: Journal of Physics B, in press. 20 pages, 9 figures (21 frames
Transmission of matter wave solitons through nonlinear traps and barriers
The transmissions of matter wave solitons through linear and nonlinear
inhomogeneities induced by the spatial variations of the trap and the
scattering length in Bose-Einstein condensates are investigated. New phenomena,
such as the enhanced transmission of a soliton through a linear trap by a
modulation of the scattering length, are exhibited. The theory is based on the
perturbed Inverse Scattering Transform for solitons, and we show that radiation
effects are important. Numerical simulations of the Gross-Pitaevskii equation
confirm the theoretical predictions.Comment: 6 pages, 4 figure
Scarring in a driven system with wave chaos
We consider acoustic wave propagation in a model of a deep ocean acoustic
waveguide with a periodic range-dependence. Formally, the wave field is
described by the Schrodinger equation with a time-dependent Hamiltonian. Using
methods borrowed from the quantum chaos theory it is shown that in the driven
system under consideration there exists a "scarring" effect similar to that
observed in autonomous quantum systems.Comment: 5 pages, 7 figure
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