62 citations · 409 across the 20 of their papers we have counts for
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Modulational instability and localized breather modes in the discrete nonlinear Schrödinger equation with helicoidal hopping
J. Stockhofe, P. Schmelcher
We study a one-dimensional discrete nonlinear Schrödinger model with hopping to the first and a selected N-th neighbor, motivated by a helicoidal arrangement of lattice sites. We p…
Dynamics of nonlinear excitations of helically confined charges
A. V. Zampetaki, J. Stockhofe, P. Schmelcher
We explore the long-time dynamics of a system of identical charged particles trapped on a closed helix. This system has recently been found to exhibit an unconventional deformation…
Sub- and supercritical defect scattering in Schrödinger chains with higher-order hopping
J. Stockhofe, P. Schmelcher
We theoretically analyze a discrete Schrödinger chain with hopping to the first and second neighbors, as can be realized with zigzag arrangements of optical waveguides or lattice s…
Generating, dragging and releasing dark solitons in elongated Bose-Einstein condensates
I. Hans, J. Stockhofe, P. Schmelcher
We theoretically analyze quasi-one-dimensional Bose-Einstein condensates under the influence of a harmonic trap and a narrow potential defect that moves through the atomic cloud. P…
Positive and negative mass solitons in spin-orbit coupled Bose-Einstein condensates
V. Achilleos, D. J. Frantzeskakis, P. G. Kevrekidis +2
We present a unified description of different types of matter-wave solitons that can emerge in quasi one-dimensional spin-orbit coupled (SOC) Bose-Einstein condensates (BECs). This…