Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions

Journal Article · Fri May 15 04:00:00 EDT 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.79.053608· OSTI ID:21304726

Cuevas, J ^[1]; Malomed, Boris A ^[2]; Kevrekidis, P G ^[3]; Frantzeskakis, D J ^[4]

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1. Departamento de Fisica Aplicada I, Grupo de Fisica No Lineal, Escuela Universitaria Politecnica, C/Virgen de Africa, 7, 41011 Sevilla (Spain)
2. Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978 (Israel)
3. Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515 (United States)
4. Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784 (Greece)

We study families of one-dimensional matter-wave bright solitons supported by the competition of contact and dipole-dipole (DD) interactions of opposite signs. Soliton families are found, and their stability is investigated in the free space and in the presence of an optical lattice (OL). Free-space solitons may exist with an arbitrarily weak local attraction if the strength of the DD repulsion is fixed. In the case of the DD attraction, solitons do not exist beyond a maximum value of the local-repulsion strength. In the system which includes the OL, a stability region for subfundamental solitons is found in the second finite band gap. For the existence of gap solitons (GSs) under the attractive DD interaction, the contact repulsion must be strong enough. In the opposite case of the DD repulsion, GSs exist if the contact attraction is not too strong. Collisions between solitons in the free space are studied too. In the case of the local attraction, they merge or pass through each other at small and large velocities, respectively. In the presence of the local repulsion, slowly moving solitons bounce from each other.

• OSTI ID: 21304726
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 79; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
COLLISIONS
DIPOLES
INTERACTIONS
MATTER
ONE-DIMENSIONAL CALCULATIONS
SOLITONS
SPACE
STABILITY
VELOCITY