2019
DOI: 10.1016/j.cnsns.2019.01.031
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Two-dimensional composite solitons in Bose-Einstein condensates with spatially confined spin-orbit coupling

Abstract: It was recently found that the spin-orbit (SO) coupling can help to create stable matter-wave solitons in spinor Bose-Einstein condensates in the two-dimensional (2D) free space. Being induced by external laser illumination, the effective SO coupling can be applied too in a spatially confined area. Using numerical methods and the variational approximation (VA), we build families of 2D solitons of the semi-vortex (SV) and mixed-mode (MM) types, and explore their stability, assuming that the SO-coupling strength… Show more

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Cited by 25 publications
(4 citation statements)
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“…Thus it will be interesting to examine if a study similar to that of ours could be envisaged for a 2D BEC [36]. In order that we must look for studies in spin-orbit coupled quasi-2D stable BEC solitons [37].…”
Section: Discussionmentioning
confidence: 91%
“…Thus it will be interesting to examine if a study similar to that of ours could be envisaged for a 2D BEC [36]. In order that we must look for studies in spin-orbit coupled quasi-2D stable BEC solitons [37].…”
Section: Discussionmentioning
confidence: 91%
“…The dark and bright solitons, quantized vortices dynamics, and Josephson dynamics are also studied in spin-orbit coupled spin-1/2 BECs. [14][15][16][17][18][19][20] In the spinor BECs, the complex atomic interactions give rise to many exotic ground states. For the spin-1 BECs, the mean-field ground state is a polar state with repulsive spinspin interaction (such as 23 Na) and ferromagnetic state with attractive spin-spin interaction (such as 87 Rb).…”
Section: Introductionmentioning
confidence: 99%
“…1, it was predicted that 1D solitons and their bound states may be maintained by means of localized SO interaction [88,89]. Further, it was recently demonstrated that spatially confined SO coupling can be used to maintain stable 2D solitons [90]. A related possibility is the use of effectively 1D and 2D (low-dimensional) SO coupling for the stabilization of, respectively, 2D and 3D solitons (in the full dimension), including a vortex component [91].…”
Section: Introductionmentioning
confidence: 99%