[en] We consider the interplay of repulsive short-range and long-range interactions in the dynamics of dark solitons, as prototypical coherent nonlinear excitations in a trapped quasi-1D Bose gas. Upon examining the form of the ground state, both the existence of the solitary waves and their stability properties are explored and corroborated by direct numerical simulations. We find that single- and multiple-dark-soliton states can exist and are generically robust in the presence of long-range interactions. We analyze the modes of vibration of such excitations and find that their respective frequencies are significantly upshifted as the strength of the long-range interactions is increased. Indeed, we find that a prefactor of the long-range interactions considered comparable to the trap strength may upshift the dark soliton oscillation frequency by an order of magnitude, in comparison to the well established one of /√2 in a trap of frequency .
Disciplines :
Physics
Author, co-author :
Beau, M.; Department of Physics, University of Massachusetts, Boston, Massachusetts 02125, USA ; Dublin Institute for Advanced Studies, School of Theoretical Physics, 10 Burlington Road, Dublin 4, Ireland
Del Campo Echevarria, Adolfo ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Frantzeskakis, D. J.; Department of Physics, National and Kapodistrian University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece
Horikis, T. P.; Department of Mathematics, University of Ioannina, Ioannina 45110, Greece
Kevrekidis, P. G.; Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003-4515, USA
External co-authors :
yes
Language :
English
Title :
Dark solitons in a trapped gas of long-range interacting bosons
