We develop a method for creating two- and one-dimensional （2D and 1D） self-trapped modes in bi- nary spin-orbit-coupled Bose-Einstein condensates with the contact repulsive interaction, whose local strength grows su...We develop a method for creating two- and one-dimensional （2D and 1D） self-trapped modes in bi- nary spin-orbit-coupled Bose-Einstein condensates with the contact repulsive interaction, whose local strength grows sufficiently rapidly from the center to the periphery. In particular, an exact semi-vortex （SV） solution is found for the anti-Gaussian radial modulation profile. The exact modes are included in the numerically produced family of SV solitons. Other families, in the form of mixed modes （MMs）, as well as excited states of SVs and MMs, are also produced. Although the excited states are unstable in all previously studied models, they are partially stable in the present one. In the 1D version of the system, exact solutions for the counterpart of SVs, namely, semi-dipole solitons, are also found. Families of semi-dipoles, as well as the 1D version of MMs, are produced numerically.展开更多
We study the spontaneous symmetry breaking of dipolar Bose-Einstein condensates trapped in stacks of two-well systems, which may be effectively built as one-dimensional trapping lattices sliced by a repelling laser sh...We study the spontaneous symmetry breaking of dipolar Bose-Einstein condensates trapped in stacks of two-well systems, which may be effectively built as one-dimensional trapping lattices sliced by a repelling laser sheet. If the potential wells are sufficiently deep, the system is modeled by coupled discrete Gross-Pitaevskii equations with nonlocal self- and cross-interaction terms representing dipole-dipole interactions. When the dipoles are not polarized perpendicular or parallel to the lattice, the cross- interaction is asymmetric, replacing the familiar symmetric two-component solitons with a new species of cross-symmetric or -asymmetric ones. The orientation of the dipole moments and the interwell hopping rate strongly affect the shapes of the discrete two-component solitons as well as the characteristics of the cross-symmetry breaking and the associated phase transition. The sub- and super-critical types of cross-symmetry breaking can be controlled by either the hopping rate between the components or the total norm of the solitons. The effect of the interplay between the contact nonlinearity and the dipole angle on the cross-symmetry breaking is also discussed.展开更多
基金This work was supported in part by the National Natural Science Foundation of China through Grant Nos. 11575063, 61471123, and 61575041, the Joint Program in Physics of the NSF and the Binational （US-Israel） Science Foun- dation through Project No. 2015616, the Israel Science Founda- tion （project No. 1287/17）, and the Natural Science Foundation of Guangdong Province through Grant No. 2015A030313639. B.A.M. is grateful for a foreign-expert grant from Guangdong province （China） and a Ding-Ying professorship provided by the SouthChina Agricultural University （Guangzhou） at its College of Elec- tronic Engineering.
文摘We develop a method for creating two- and one-dimensional （2D and 1D） self-trapped modes in bi- nary spin-orbit-coupled Bose-Einstein condensates with the contact repulsive interaction, whose local strength grows sufficiently rapidly from the center to the periphery. In particular, an exact semi-vortex （SV） solution is found for the anti-Gaussian radial modulation profile. The exact modes are included in the numerically produced family of SV solitons. Other families, in the form of mixed modes （MMs）, as well as excited states of SVs and MMs, are also produced. Although the excited states are unstable in all previously studied models, they are partially stable in the present one. In the 1D version of the system, exact solutions for the counterpart of SVs, namely, semi-dipole solitons, are also found. Families of semi-dipoles, as well as the 1D version of MMs, are produced numerically.
基金Acknowledgements Tile authors appreciate the very useful discussion with Prof. Boris A. Malomed. This work was supported by the National Natural Science Foundation of China under Grant Nos. 11575063, 61471123, and 61575041, and the Natural Science Foundation of Guangdong Province under Grant No. 2015A030313639.
文摘We study the spontaneous symmetry breaking of dipolar Bose-Einstein condensates trapped in stacks of two-well systems, which may be effectively built as one-dimensional trapping lattices sliced by a repelling laser sheet. If the potential wells are sufficiently deep, the system is modeled by coupled discrete Gross-Pitaevskii equations with nonlocal self- and cross-interaction terms representing dipole-dipole interactions. When the dipoles are not polarized perpendicular or parallel to the lattice, the cross- interaction is asymmetric, replacing the familiar symmetric two-component solitons with a new species of cross-symmetric or -asymmetric ones. The orientation of the dipole moments and the interwell hopping rate strongly affect the shapes of the discrete two-component solitons as well as the characteristics of the cross-symmetry breaking and the associated phase transition. The sub- and super-critical types of cross-symmetry breaking can be controlled by either the hopping rate between the components or the total norm of the solitons. The effect of the interplay between the contact nonlinearity and the dipole angle on the cross-symmetry breaking is also discussed.
