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