TY  - 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 . .

TY  - 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 . .