Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates
By Yongyao Li, Zhihuan Luo, Yan Liu, Zhaopin Chen, Chunqing Huang, Shenhe Fu, Haishu Tan, Boris A. Malomed. 2017
135 citations recorded by the source corpus.
We study two-dimensional (2D) matter-wave solitons in spinor Bose–Einstein condensates under the action of the spin–orbit coupling and opposite signs of the self- and cross-interactions. Stable 2D two-component solitons of the mixed-mode type are found if the cross-interaction between the components is attractive, while the self-interaction is repulsive in each component. Stable solitons of the semi-vortex type are formed in the opposite case, under the action of competing self-attraction and cross-repulsion. The solitons exist with the total norm taking values below a collapse threshold. Further, in the case of the repulsive self-interaction and inter-component attraction, stable 2D self-trapped modes, which may be considered as quantum droplets (QDs), are created if the beyond-mean-field Lee–Huang–Yang terms are added to the self-repulsion in the underlying system of coupled Gross–Pitaevskii equations. Stable QDs of the mixed-mode type, of a large size with an anisotropic density profile, exist with arbitrarily large values of the norm, as the Lee–Huang–Yang terms eliminate the collapse. The effect of the spin–orbit coupling term on characteristics of the QDs is systematically studied. We also address the existence and stability of QDs in the case of SOC with mixed Rashba and Dresselhaus terms, which makes the density profile of the QD more isotropic. Thus, QDs in the spin-orbit-coupled binary Bose–Einstein condensate are for the first time studied in the present work.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/a37387af696e63dd14617bbd13a79f559f96c12f
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- A new form of liquid matter: Quantum droplets (2020, methodology): “[55] Y.”
- Two-dimensional vortex quantum droplets (2018, background): “…strongly confined in the transverse direction, the GPE-LHY system reduces to a 2D form [21], which essentially simplifies for modes with lateral size l √ a ± a ⊥ , where a ± and a ⊥ are, respectively, the self-repulsion scattering lengths of each component, and the transverse-confinement length [16].”
- (INVITED) Vortex solitons: Old results and new perspectives (2019, background): “Lastly, it is relevant to mention that 2D solitons of the MM type, additionally stabilized by the LHY correction to the model of the binary condensate with SOC, were considered too [242].”