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A magic tilt angle for stabilizing two-dimensional solitons by dipole-dipole interactions

A magic tilt angle for stabilizing two-dimensional solitons by dipole-dipole interactions

Xing-You Chen, You-Lin Chuang, Chun-Yan Lin, Chien-Ming Wu, Yongyao Li, Boris A Malomed Ray-Kuang Lee
arXiv.org
18/10/2017
Physics - Pattern Formation and Solitons
Phys. Rev. A 96, 043631 (2017) In the framework of the Gross-Pitaevskii equation, we study the formation and stability of effectively two-dimensional solitons in dipolar Bose-Einstein condensates (BECs), with dipole moments polarized at an arbitrary angle$\theta$relative to the direction normal to the system's plane. Using numerical methods and the variational approximation, we demonstrate that unstable Townes solitons, created by the contact attractive interaction, may be completely stabilized (with an anisotropic shape) by the dipole-dipole interaction (DDI), in interval$\theta ^{\text{cr}}<\theta \leq \pi /2$ . The stability boundary,$\theta ^{\text{cr}}$ , weakly depends on the relative strength of DDI, remaining close to the "magic angle",$\theta_{m}=\arccos \left( 1/\sqrt{3}\right) $ . The results suggest that DDIs provide a generic mechanism for the creation of stable BEC\ solitons in higher dimensions.
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