Vortex-Line Solitons in A Periodically Modulated Bose-Einstein Condensate

Abstract

We study the nonlinear excitations of a vortex line in a Bose-Einstein condensate trapped in a one-dimensional optical lattice. We find that the classical Euler dynamics of the vortex results in a description of the vortex line in terms of a (discrete) one-dimensional Gross-Pitaevskii equation, which allows for both bright and gray soliton solutions. We discuss these solutions in detail and predict that it is possible to create vortex-line solitons with current experimental capabilities.

Synthesis of Bis-2,3-dihydroquinazolin-4(1H)-ones and 2,3-Dihydroquinazolin-4(1H)-ones Derivatives with the Aid of Silica-Supported Preyssler Nanoparticles

“…The direct three-component reactions worked well with a variety of arylamines bearing either electron-donating (Table 1, entries [11][12][13][14][15][16][17] or -withdrawing groups (Table 1, entries 4, 42-46) and phenethylamine ( Table 1, entries 8 and 9). Also, the reactions with arylamines and a range of benzaldehydes carrying either electron-donating or -withdrawing groups on the benzene ring afforded desired products 4b-h in high yields.…”

“…As the particle size decreases, the relative number of surface atoms increases, and thus activity increases. Moreover, due to quantum size effects, nanometersized particles may exhibit unique properties for a wide range of applications, by Martikainen and Stoof [15]. Along this line, polyoxometalates (POMs) are attracting much attention as building blocks for functional composite materials because of their interesting nanosized structures, by Ding et al [16].…”

Temporal dynamics of tunneling: Hydrodynamic approach

“…The existence of vortex solitons in periodic potentials (optical lattices) was revealed in Refs. 38,39,40. Exact solutions for the dynamics of 1-D trapped BEC bright solitons with a time dependent interaction strength were found in Ref.…”

Three-dimensional matter-wave vortices in optical lattices

“…Most remarkably, we find that vortex "stacks" of multiple co-rotating vortices (somewhat analogous to the stacks of "pancakes" [12]), forming an extended discrete vortex line, can also be highly robust, in both the off-site [ Fig. 5(a)] and on-site configurations [ Fig.…”