Stable three-dimensional solitons in attractive Bose-Einstein condensates loaded in an optical lattice
Creators
- 1. Horia Hulubei National Institute of Physics and Nuclear Engineering, Department of Theoretical Physics, P.O. Box MG-6, Bucharest (Romania)
- 2. Institute of Solid State Theory and Theoretical Optics, Friedrich-Schiller Universitaet Jena, Max-Wien-Platz 1, D-077743 Jena (Germany)
- 3. ICFO-Institut de Ciencies Fotoniques, and Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, 08034 Barcelona (Spain)
- 4. Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978 (Israel)
Description
The existence and stability of solitons in Bose-Einstein condensates with attractive interatomic interactions, described by the Gross-Pitaevskii equation with a three-dimensional (3D) periodic potential, are investigated in a systematic form. We find a one-parameter family of stable 3D solitons in a certain interval of values of their norm, provided that the strength of the potential exceeds a threshold value. The minimum number of 7Li atoms in the stable solitons is 60, and the energy of the soliton at the stability threshold is ≅6 recoil energies in the lattice. The respective energy versus norm diagram features two cuspidal points, resulting in a typical swallowtail pattern, which is a generic feature of 3D solitons supported by quasi-two-dimensional or fully dimensional lattice potentials
Additional details
Identifiers
- DOI
- 10.1103/PhysRevA.72.021601;
- arXiv
- arXiv:nlin/0507007v1;
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 72
- Journal Issue
- 2
- Journal Page Range
- p. 021601-021601.4
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37030302
- Subject category
- S74: ATOMIC AND MOLECULAR PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ATOMS; BOSE-EINSTEIN CONDENSATION; LITHIUM; LITHIUM 7; PERIODICITY; POTENTIALS; RECOILS; SOLITONS; STABILITY; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; WAVE EQUATIONS
- Descriptors DEC
- ALKALI METALS; DIFFERENTIAL EQUATIONS; ELEMENTS; EQUATIONS; ISOTOPES; LIGHT NUCLEI; LITHIUM ISOTOPES; METALS; NUCLEI; ODD-EVEN NUCLEI; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; STABLE ISOTOPES; VARIATIONS
Optional Information
- Notes
- (c) 2005 The American Physical Society