2015/01/28 by Mario Salerno, Salerno, Mario, F. Kh. Abdullaev +2
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS) #Quantum Gases (cond-mat.quant-gas) #Strong Light-Matter Interactions #cond-mat.quant-gas #nlin.PS
paper · pdf · doi:10.48550/arxiv.1501.07296
6 pages, 7 fugures
arxiv created 2015/01/28 · openalex publication_date 2015/01/28 · arxiv updated 2015/01/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study localized nonlinear excitations of a dilute Bose-Einstein condensate (BEC) with spin-orbit coupling in a deep optical lattice (OL). We use Wannier functions to derive a tight-binding model that includes the spin-orbit coupling (SOC) at the discrete level in the form of a generalized discrete nonlinear Schödinger equation. Spectral properties are investigated and the existence and stability of discrete solitons and breathers with different symmetry properties with respect to the OL is demonstrated. We show that the symmetry of the modes can be changed from on-site to inter-site and to asymmetric modes simply by changing the interspecies interaction. Asymmetric modes appear to be novel modes intrinsic of the SOC.