2016/06/30 by Xuekai Ma, Rodislav Driben, Boris A. Malomed +3
Mathematics · Physics and Astronomy · #Binary number #Bose–Einstein condensate #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Component (thermodynamics) #Condensed matter physics #Mathematics #Mechanics #Nonlinear Photonic Systems #Nonlinear system #Physics #Polariton #Quantum mechanics #Soliton #Spinor #Stability (learning theory) #Strong Light-Matter Interactions #Vortex #Vorticity #cond-mat.quant-gas #physics.optics
paper · pdf · doi:10.1038/srep34847
published as Scientific Reports 6, 34847, 2016 · Scientific Reports, in press
arxiv created 2016/09/13 · openalex publication_date 2016/10/05 · arxiv updated 2016/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a two-dimensional (2D) two-component spinor system with cubic attraction between the components and intra-species self-repulsion, which may be realized in atomic Bose-Einstein condensates, as well as in a quasi-equilibrium condensate of microcavity polaritons. Including a 2D spatially periodic potential, which is necessary for the stabilization of the system against the critical collapse, we use detailed numerical calculations and an analytical variational approximation (VA) to predict the existence and stability of several types of 2D symbiotic solitons in the spinor system. Stability ranges are found for symmetric and asymmetric symbiotic fundamental solitons and vortices, including hidden-vorticity (HV) modes, with opposite vorticities in the two components. The VA produces exceptionally accurate predictions for the fundamental solitons and vortices. The fundamental solitons, both symmetric and asymmetric ones, are completely stable, in either case when they exist as gap solitons or regular ones. The symmetric and asymmetric vortices are stable if the inter-component attraction is stronger than the intra-species repulsion, while the HV modes have their stability region in the opposite case.