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Self-trapping under two-dimensional spin-orbit coupling and spatially growing repulsive nonlinearity

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Abstract

We develop a method for creating two- and one-dimensional (2D and 1D) self-trapped modes in binary 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.

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Acknowledgements

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 Foundation through Project No. 2015616, the Israel Science Foundation (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 South China Agricultural University (Guangzhou) at its College of Electronic Engineering.

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Authors and Affiliations

  1. School of Physics and Optoelectronic Engineering, Foshan University, Foshan, 528000, China

    Rong-Xuan Zhong, Chun-Qing Huang, Hai-Shu Tan, Boris A. Malomed & Yong-Yao Li

  2. Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv, 69978, Israel

    Zhao-Pin Chen & Boris A. Malomed

  3. College of Electronic Engineering, South China Agricultural University, Guangzhou, 510642, China

    Zhi-Huan Luo

  4. ITMO University, St. Petersburg, 197101, Russia

    Boris A. Malomed

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  1. Rong-Xuan Zhong
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arXiv: 1712.01430.

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Zhong, RX., Chen, ZP., Huang, CQ. et al. Self-trapping under two-dimensional spin-orbit coupling and spatially growing repulsive nonlinearity. Front. Phys. 13, 130311 (2018). https://doi.org/10.1007/s11467-018-0778-y

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