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Gap solitons in Bose–Einstein condensate loaded in a honeycomb optical lattice: Nonlinear dynamical stability, tunneling, and self-trapping

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  • Meng, Hongjuan
  • Zhou, Yushan
  • Li, Xiaolin
  • Ren, Xueping
  • Wan, Xiaohuan
  • Zhou, Zhikun
  • Wang, Wenyuan
  • Shi, Yuren

Abstract

We investigate the gap solitons of Bose–Einstein condensate in honeycomb optical lattices. It is found that the two-dimensional honeycomb optical lattices admit multipole gap solitons. These multipoles can have their bright solitary structures be in-phase or out-of-phase. The nonlinear dynamical stabilities of these solitons are investigated using direct simulations of the Gross–Pitaevskii equation. For the unipole gap solitons, the nonlinear evolution shows dynamical stability or instability, which depends on the properties of atomic interactions and the dependence of soliton power. A fascinating property of dipole gap solitons is that they can present self-trapping or tunneling instabilities under atomic nonlinearity. The in-phase and out-of-phase of multipole gap solitons support different tunneling or self-trapping regimes. These results have an application to investigations of localized structures in nonlinear optics and Bose–Einstein condensate.

Suggested Citation

  • Meng, Hongjuan & Zhou, Yushan & Li, Xiaolin & Ren, Xueping & Wan, Xiaohuan & Zhou, Zhikun & Wang, Wenyuan & Shi, Yuren, 2021. "Gap solitons in Bose–Einstein condensate loaded in a honeycomb optical lattice: Nonlinear dynamical stability, tunneling, and self-trapping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 577(C).
  • Handle: RePEc:eee:phsmap:v:577:y:2021:i:c:s0378437121003605
    DOI: 10.1016/j.physa.2021.126087
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    References listed on IDEAS

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    1. Mikael C. Rechtsman & Julia M. Zeuner & Yonatan Plotnik & Yaakov Lumer & Daniel Podolsky & Felix Dreisow & Stefan Nolte & Mordechai Segev & Alexander Szameit, 2013. "Photonic Floquet topological insulators," Nature, Nature, vol. 496(7444), pages 196-200, April.
    2. Markus Greiner & Olaf Mandel & Tilman Esslinger & Theodor W. Hänsch & Immanuel Bloch, 2002. "Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms," Nature, Nature, vol. 415(6867), pages 39-44, January.
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