Abstract:
In this thesis, we study the dynamics of overlapping solitons in Scalar and Spin-1 Spinor
Bose-Einstein Condensates. Even in Scalar Condensates, a finite overlap between solitons gives rise to non-trivial dynamics, such as periodic oscillations between solitons, flow of atoms between solitons, and repulsion. The dynamics depend critically on the extent of overlap (controlled by the distance between the soliton peaks) and the phase between the solitons. We introduce the concept of atomic switching, referring to the flow of atoms, which can mimic the previously studied concept of optical switching. The dynamics in spinor-condensates are even richer. Depending on the relative phase between the three components, the extent of overlap, and the ratio of the spin-dependent and spin-independent interaction strengths, we see interesting scenarios including the emergence of oscillatons and ferromagnetic solitons, from a system originally consisting of polar solitons. We find that the separation between the soliton peaks provides us another tool to modulate the dynamics of the system, such as controlling the time-period of population oscillations in resultant oscillatons, and velocities and masses of the resultant ferromagnetic solitons
