Coupled matter–wave solitons in optical lattices

Sk. Golam Ali, Sanjukta Roy, B. Talukdar

Alberto Cetoli, Luca Salasnich, Boris A. Malomed +1 more

Zhiwei Shi, Kody J. H. Law, P. G. Kevrekidis +1 more

Golam Ali Sekh, B. Talukdar

The stationary bright solitons that appear in the ground state of the spin-orbit coupled Bose-Einstein condensate (SOC-BEC) exhibit nodes. We consider SOC-BEC in combined linear and nonlinear optical lattices and study their effects on the matter-wave bright soliton and find that the parameters of the nonlinear lattice or atomic scattering length can be judiciously manipulated to have useful control over the nodes of the soliton. It is seen that the soliton with large number of nodes is less stable compared to one having fewer number of nodes. We infer that that the synthetic spin-orbit coupling induces instability in the ordinary matter-wave soliton.

Beata Justyna Du browska-Wu FCster

Sumaita Sultana, Sk Siddik, Golam Ali Sekh

We consider coupled matter-wave bright solitons in spatial coherence spin–orbit coupled Bose–Einstein condensates (SOC-BECs) in optical and Rabi-coupling lattice (RL) potentials and find an effective potential for separation of coupled matter-wave solitons. We show that the Rabi lattice significantly affects the potential near the region of overlap between the solitons. We study the effects of Rabi lattice on the dynamics of solitons for different initial overlaps and show that the dynamics is controlled by the interplay between the Rabi lattice and inter-component interaction. We investigate that, by tuning the Rabi lattice strength, one can realize localize, periodic and splitting dynamics of the total density profile of the coupled solitons.