Soliton stability and collapse in the discrete nonpolynomial Schrodinger equation with dipole-dipole interactions
Apstrakt
The stability and collapse of fundamental unstaggered bright solitons in the discrete Schrodinger equation with the nonpolynomial on-site nonlinearity, which models a nearly one-dimensional Bose-Einstein condensate trapped in a deep optical lattice, are studied in the presence of the long-range dipole-dipole (DD) interactions. The cases of both attractive and repulsive contact and DD interaction are considered. The results are summarized in the form of stability-collapse diagrams in the parametric space of the model, which demonstrate that the attractive DD interactions stabilize the solitons and help to prevent the collapse. Mobility of the discrete solitons is briefly considered too.
Ključne reči:
Bose-Einstein condensation / optical lattices / radiation pressure / Schrodinger equation / solitonsIzvor:
Physical Review A, 2009, 79, 5Finansiranje / projekti:
- Ministry of Science, Serbia [141034]
DOI: 10.1103/PhysRevA.79.053609
ISSN: 1050-2947
WoS: 000266500900138
Scopus: 2-s2.0-65649152544
Kolekcije
Institucija/grupa
VinčaTY - JOUR AU - Gligorić, Goran AU - Maluckov, Aleksandra AU - Hadžievski, Ljupčo AU - Malomed, Boris A. PY - 2009 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3711 AB - The stability and collapse of fundamental unstaggered bright solitons in the discrete Schrodinger equation with the nonpolynomial on-site nonlinearity, which models a nearly one-dimensional Bose-Einstein condensate trapped in a deep optical lattice, are studied in the presence of the long-range dipole-dipole (DD) interactions. The cases of both attractive and repulsive contact and DD interaction are considered. The results are summarized in the form of stability-collapse diagrams in the parametric space of the model, which demonstrate that the attractive DD interactions stabilize the solitons and help to prevent the collapse. Mobility of the discrete solitons is briefly considered too. T2 - Physical Review A T1 - Soliton stability and collapse in the discrete nonpolynomial Schrodinger equation with dipole-dipole interactions VL - 79 IS - 5 DO - 10.1103/PhysRevA.79.053609 ER -
@article{ author = "Gligorić, Goran and Maluckov, Aleksandra and Hadžievski, Ljupčo and Malomed, Boris A.", year = "2009", abstract = "The stability and collapse of fundamental unstaggered bright solitons in the discrete Schrodinger equation with the nonpolynomial on-site nonlinearity, which models a nearly one-dimensional Bose-Einstein condensate trapped in a deep optical lattice, are studied in the presence of the long-range dipole-dipole (DD) interactions. The cases of both attractive and repulsive contact and DD interaction are considered. The results are summarized in the form of stability-collapse diagrams in the parametric space of the model, which demonstrate that the attractive DD interactions stabilize the solitons and help to prevent the collapse. Mobility of the discrete solitons is briefly considered too.", journal = "Physical Review A", title = "Soliton stability and collapse in the discrete nonpolynomial Schrodinger equation with dipole-dipole interactions", volume = "79", number = "5", doi = "10.1103/PhysRevA.79.053609" }
Gligorić, G., Maluckov, A., Hadžievski, L.,& Malomed, B. A.. (2009). Soliton stability and collapse in the discrete nonpolynomial Schrodinger equation with dipole-dipole interactions. in Physical Review A, 79(5). https://doi.org/10.1103/PhysRevA.79.053609
Gligorić G, Maluckov A, Hadžievski L, Malomed BA. Soliton stability and collapse in the discrete nonpolynomial Schrodinger equation with dipole-dipole interactions. in Physical Review A. 2009;79(5). doi:10.1103/PhysRevA.79.053609 .
Gligorić, Goran, Maluckov, Aleksandra, Hadžievski, Ljupčo, Malomed, Boris A., "Soliton stability and collapse in the discrete nonpolynomial Schrodinger equation with dipole-dipole interactions" in Physical Review A, 79, no. 5 (2009), https://doi.org/10.1103/PhysRevA.79.053609 . .