Collapse instability of solitons in the nonpolynomial Schrodinger equation with dipole-dipole interactions
Апстракт
A model of the Bose-Einstein condensate (BEC) of dipolar atoms, confined in a combination of a cigar-shaped trap and optical lattice acting in the axial direction, is studied in the framework of the one-dimensional (1D) nonpolynomial Schrodinger equation (NPSE) with additional terms describing long-range dipole-dipole (DD) interactions. The NPSE makes it possible to describe the collapse of localized modes, which was experimentally observed in the self-attractive BEC confined in tight traps, in the framework of the 1D description. We study the influence of the DD interactions on the dynamics of bright solitons, especially concerning their collapse-induced instability. Both attractive and repulsive contact and DD interactions are considered. The results are summarized in the form of stability/collapse diagrams in a respective parametric space. In particular, it is shown that the attractive DD interactions may prevent the collapse instability in the condensate with attractive contact int...eractions.
Извор:
Journal of Physics. B: Atomic Molecular and Optical Physics, 2009, 42, 14Финансирање / пројекти:
- Ministry of Science, Serbia [141034], German-Israel Foundation [149/2006]
DOI: 10.1088/0953-4075/42/14/145302
ISSN: 0953-4075
WoS: 000267943500014
Scopus: 2-s2.0-70350626582
Колекције
Институција/група
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/123456789/3742 AB - A model of the Bose-Einstein condensate (BEC) of dipolar atoms, confined in a combination of a cigar-shaped trap and optical lattice acting in the axial direction, is studied in the framework of the one-dimensional (1D) nonpolynomial Schrodinger equation (NPSE) with additional terms describing long-range dipole-dipole (DD) interactions. The NPSE makes it possible to describe the collapse of localized modes, which was experimentally observed in the self-attractive BEC confined in tight traps, in the framework of the 1D description. We study the influence of the DD interactions on the dynamics of bright solitons, especially concerning their collapse-induced instability. Both attractive and repulsive contact and DD interactions are considered. The results are summarized in the form of stability/collapse diagrams in a respective parametric space. In particular, it is shown that the attractive DD interactions may prevent the collapse instability in the condensate with attractive contact interactions. T2 - Journal of Physics. B: Atomic Molecular and Optical Physics T1 - Collapse instability of solitons in the nonpolynomial Schrodinger equation with dipole-dipole interactions VL - 42 IS - 14 DO - 10.1088/0953-4075/42/14/145302 ER -
@article{ author = "Gligorić, Goran and Maluckov, Aleksandra and Hadžievski, Ljupčo and Malomed, Boris A.", year = "2009", abstract = "A model of the Bose-Einstein condensate (BEC) of dipolar atoms, confined in a combination of a cigar-shaped trap and optical lattice acting in the axial direction, is studied in the framework of the one-dimensional (1D) nonpolynomial Schrodinger equation (NPSE) with additional terms describing long-range dipole-dipole (DD) interactions. The NPSE makes it possible to describe the collapse of localized modes, which was experimentally observed in the self-attractive BEC confined in tight traps, in the framework of the 1D description. We study the influence of the DD interactions on the dynamics of bright solitons, especially concerning their collapse-induced instability. Both attractive and repulsive contact and DD interactions are considered. The results are summarized in the form of stability/collapse diagrams in a respective parametric space. In particular, it is shown that the attractive DD interactions may prevent the collapse instability in the condensate with attractive contact interactions.", journal = "Journal of Physics. B: Atomic Molecular and Optical Physics", title = "Collapse instability of solitons in the nonpolynomial Schrodinger equation with dipole-dipole interactions", volume = "42", number = "14", doi = "10.1088/0953-4075/42/14/145302" }
Gligorić, G., Maluckov, A., Hadžievski, L.,& Malomed, B. A.. (2009). Collapse instability of solitons in the nonpolynomial Schrodinger equation with dipole-dipole interactions. in Journal of Physics. B: Atomic Molecular and Optical Physics, 42(14). https://doi.org/10.1088/0953-4075/42/14/145302
Gligorić G, Maluckov A, Hadžievski L, Malomed BA. Collapse instability of solitons in the nonpolynomial Schrodinger equation with dipole-dipole interactions. in Journal of Physics. B: Atomic Molecular and Optical Physics. 2009;42(14). doi:10.1088/0953-4075/42/14/145302 .
Gligorić, Goran, Maluckov, Aleksandra, Hadžievski, Ljupčo, Malomed, Boris A., "Collapse instability of solitons in the nonpolynomial Schrodinger equation with dipole-dipole interactions" in Journal of Physics. B: Atomic Molecular and Optical Physics, 42, no. 14 (2009), https://doi.org/10.1088/0953-4075/42/14/145302 . .