Collisional dynamics of symmetric two-dimensional quantum droplets

Two-dimensional quantum droplets in binary quadrupolar condensates

“…the collision leads to the deflection of the direction of motion by 90 o . Similar results were mentioned in [42,87] . When the norm is fixed, the outcome of the collision is mainly determined by the velocity, i.e.…”

“…In [63], where collisions between two-component QDs have been considered in the model with contact interactions, the simulations demonstrated a trend to inelastic outcomes produced by the collisions between QDs in the in-phase configuration. In [42], the collisional dynamics has been studied for two symmetric QDs with equal intra-species scattering lengths and equal densities of both components. In [88], the collisions between moving 2D anisotropic vortex QDs have been studied, demonstrating the formation of bound states with a vortex-antivortex-vortex structure.…”

“…The results are shown in figure 9. Figures 9(a 1 )-(a 6 ) show the result of the strongly inelastic [42]. When the initial kicks increase to ±0.12, quasi-elastic outcomes of the collision are observed.…”

“…When the norm is fixed, the outcome of the collision is mainly determined by the velocity, i.e. by kick η [42,63,107]. If the collision speed exceeds a critical value, an inelastic collision takes place.…”

Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity

“…Typical examples include, in the Schrödinger-Poisson-Xα model with f (ρ) = −αρ 1/d (α > 0) [13,15], i.e. σ = 1 3 and σ = 1 2 in three dimensions (3D) and two dimensions (2D), respectively; in the LHY correction (a next-order correction of the ground state energy proposed by Lee, Huang and Yang in 1957 [31]) for a beyond-mean-field term which is widely adopted in modeling and simulation for quantum droplets [28,16,4,38,26] with f (ρ) = ρ 3/2 in 3D, i.e. σ = 3 2 , f (ρ) = √ ρ in one dimension (1D), i.e.…”