57 research outputs found
Quasi-one-dimensional harmonically trapped quantum droplets
We theoretically consider effectively one-dimensional quantum droplets in a
symmetric Bose-Bose mixture confined in a parabolic trap. We systematically
investigate ground and excited families of localized trapped modes which
bifurcate from eigenstates of quantum harmonic oscillator. Families of
nonlinear modes have nonmonotonous behavior of chemical potential on number of
particles and feature bistability regions. Excited states are unstable close to
the linear limit, but become stable as the number of particles increases. In
the limit of large density, we derive a modified Thomas-Fermi distribution.
Decrease of the trapping strength dynamically transforms the ground state
solution to the solitonlike quantum droplet.Comment: 10 pages, 6 figures, to be submitte
Continuous families of non-Hermitian surface solitons
We show that surface solitons form continuous families in one-dimensional
complex optical potentials of a certain shape. This result is illustrated by
non-Hermitian gap-surface solitons at the interface between a uniform
conservative medium and a complex periodic potential. Surface soliton families
are parameterized by a real propagation constant. The range of possible
propagation constants is constrained by the relation between the continuous
spectrum of the uniform medium and the band-gap structure of the periodic
potential.Comment: 5 pages, 5 figures; to appear in Optics Letter
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