Bright soliton dynamics in spin orbit-Rabi coupled Bose-Einstein condensates

• Published in: Communications in nonlinear science & numerical simulation Vol. 50; pp. 68 - 76
• Main Authors: Vinayagam, P.S., Radha, R., Bhuvaneswari, S., Ravisankar, R., Muruganandam, P.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.09.2017; Elsevier Science Ltd
• Subjects: Bose-Einstein condensates; Bright soliton; Computer simulation; Confining; Coupled nonlinear Schrödinger system; Coupling; Dynamic stability; Dynamical systems; Gauge transformation; Lax pair; Orbital mechanics; Resonance scattering; Scattering; Schrodinger equation; Simulation; Solitary waves; Spin dynamics; Gauge transformation; Lax pair; 35Q55; Bright soliton; 37K40; 35Q51; Coupled nonlinear Schrödinger system
• ISSN: 1007-5704; 1878-7274
• DOI: 10.1016/j.cnsns.2017.02.012

We investigate the dynamics of a spin-orbit (SO) coupled BECs in a time dependent harmonic trap and show the dynamical system to be completely integrable by constructing the Lax pair. We then employ gauge transformation approach to witness the rapid oscillations of the condensates for a relatively smaller value of SO coupling in a time independent harmonic trap compared to their counterparts in a transient trap. Keeping track of the evolution of the condensates in a transient trap during its transition from confining to expulsive trap, we notice that they collapse in the expulsive trap. We further show that one can manipulate the scattering length through Feshbach resonance to stretch the lifetime of the confining trap and revive the condensate. Considering a SO coupled state as the initial state, the numerical simulation indicates that the reinforcement of Rabi coupling on SO coupled BECs generates the striped phase of the bright solitons and does not impact the stability of the condensates despite destroying the integrability of the dynamical system.