V. Achilleos, D.J. Frantzeskakis, P.G. Kevrekidis, and D.E. Pelinovsky,
Matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates,
Physical Review Letters 110, 264101 (5 pages) (2013)
We study matter-wave bright solitons in spin-orbit (SO)
coupled Bose-Einstein condensates (BECs) with
attractive interatomic interactions. We use a multiscale expansion
method to identify solution families for
chemical potentials in the semi-infinite gap of the linear energy spectrum.
Depending on the linear and spin-orbit
coupling strengths, the solitons may resemble either standard bright
nonlinear Schrodinger solitons or exhibit a
modulated density profile, reminiscent of the stripe phase of
SO-coupled repulsive BECs. Our numerical results
are in excellent agreement with our analytical findings, and
demonstrate the potential robustness of such solitons
for experimentally relevant conditions through stability analysis
and direct numerical simulations.
coupled nonlinear Schrodinger equations, solitary waves, existence and stability,
spin-orbit Bose-Einstein condensates.