Bright solitons in the one-dimensional discrete Gross-Pitaevskii equation with dipole-dipole interactions
Apstrakt
A model of the Bose-Einstein condensate of dipolar atoms, confined in a combination of a cigar-shaped trap and deep optical lattice acting in the axial direction, is introduced, taking into regard the dipole-dipole (DD) and contact interactions. The model is based on the discrete nonlinear Schrodinger equation with an additional nonlocal term accounting for the DD interactions. The existence and stability of fundamental unstaggered solitons are studied for attractive and repulsive signs of both the local and nonlocal interactions. The DD forces strongly affect the shape and stability of on-site and intersite discrete solitons. The corresponding existence and stability regions in the parametric space are summarized in the form of diagrams, which feature a multiple stability exchange between the on-site and intersite families; in the limit of the dominating DD attraction, the on-site solitons are stable, while their intersite counterparts are not. We also demonstrate that the DD interact...ions reduce the Peierls-Nabarro barrier and enhance the mobility of the discrete solitons.
Ključne reči:
Bose-Einstein condensation / optical lattices / Schrodinger equation / solitonsIzvor:
Physical Review A, 2008, 78, 6Finansiranje / projekti:
- Ministry of Science, Serbia [141034]
DOI: 10.1103/PhysRevA.78.063615
ISSN: 1050-2947
WoS: 000262243500041
Scopus: 2-s2.0-58149176131
Kolekcije
Institucija/grupa
VinčaTY - JOUR AU - Gligorić, Goran AU - Maluckov, Aleksandra AU - Hadžievski, Ljupčo AU - Malomed, Boris A. PY - 2008 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3609 AB - A model of the Bose-Einstein condensate of dipolar atoms, confined in a combination of a cigar-shaped trap and deep optical lattice acting in the axial direction, is introduced, taking into regard the dipole-dipole (DD) and contact interactions. The model is based on the discrete nonlinear Schrodinger equation with an additional nonlocal term accounting for the DD interactions. The existence and stability of fundamental unstaggered solitons are studied for attractive and repulsive signs of both the local and nonlocal interactions. The DD forces strongly affect the shape and stability of on-site and intersite discrete solitons. The corresponding existence and stability regions in the parametric space are summarized in the form of diagrams, which feature a multiple stability exchange between the on-site and intersite families; in the limit of the dominating DD attraction, the on-site solitons are stable, while their intersite counterparts are not. We also demonstrate that the DD interactions reduce the Peierls-Nabarro barrier and enhance the mobility of the discrete solitons. T2 - Physical Review A T1 - Bright solitons in the one-dimensional discrete Gross-Pitaevskii equation with dipole-dipole interactions VL - 78 IS - 6 DO - 10.1103/PhysRevA.78.063615 ER -
@article{ author = "Gligorić, Goran and Maluckov, Aleksandra and Hadžievski, Ljupčo and Malomed, Boris A.", year = "2008", abstract = "A model of the Bose-Einstein condensate of dipolar atoms, confined in a combination of a cigar-shaped trap and deep optical lattice acting in the axial direction, is introduced, taking into regard the dipole-dipole (DD) and contact interactions. The model is based on the discrete nonlinear Schrodinger equation with an additional nonlocal term accounting for the DD interactions. The existence and stability of fundamental unstaggered solitons are studied for attractive and repulsive signs of both the local and nonlocal interactions. The DD forces strongly affect the shape and stability of on-site and intersite discrete solitons. The corresponding existence and stability regions in the parametric space are summarized in the form of diagrams, which feature a multiple stability exchange between the on-site and intersite families; in the limit of the dominating DD attraction, the on-site solitons are stable, while their intersite counterparts are not. We also demonstrate that the DD interactions reduce the Peierls-Nabarro barrier and enhance the mobility of the discrete solitons.", journal = "Physical Review A", title = "Bright solitons in the one-dimensional discrete Gross-Pitaevskii equation with dipole-dipole interactions", volume = "78", number = "6", doi = "10.1103/PhysRevA.78.063615" }
Gligorić, G., Maluckov, A., Hadžievski, L.,& Malomed, B. A.. (2008). Bright solitons in the one-dimensional discrete Gross-Pitaevskii equation with dipole-dipole interactions. in Physical Review A, 78(6). https://doi.org/10.1103/PhysRevA.78.063615
Gligorić G, Maluckov A, Hadžievski L, Malomed BA. Bright solitons in the one-dimensional discrete Gross-Pitaevskii equation with dipole-dipole interactions. in Physical Review A. 2008;78(6). doi:10.1103/PhysRevA.78.063615 .
Gligorić, Goran, Maluckov, Aleksandra, Hadžievski, Ljupčo, Malomed, Boris A., "Bright solitons in the one-dimensional discrete Gross-Pitaevskii equation with dipole-dipole interactions" in Physical Review A, 78, no. 6 (2008), https://doi.org/10.1103/PhysRevA.78.063615 . .