VINAYAGAM, P.S (2024) Robust Dynamics of Rogue waves, Breathers and Mixed Bound State Solutions in Spin -Orbit and Rabi Coupled Condensates. Robust Dynamics of Rogue waves, Breathers and Mixed Bound State Solutions in Spin -Orbit and Rabi Coupled Condensates. pp. 1-15.

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Abstract

In this paper, based on an integrable model governed by four system parameters, namely, spin-orbit coupling and Rabi
coupling which are constants while the other two parameters, namely the harmonic trap and scattering lengths which
are time dependent, we investigate the spin orbit-Rabi coupled condensates governed by the two coupled Gross�Pitaevskii(GP) equation. Employing Darboux transformation approach with nontrivial seed solution, we generate
rogue waves, breathers, mixed rogue-dark-bright and classical dark-bright solitons. While the addition of spin orbit
coupling contributes to rapid oscillations in the amplitude of the rogue waves, Rabi coupling results in the appearance
of stripes in the temporal direction . When the transient trap is switched on, these stripes which remain stable within the
confining region, begin to overlap exponentially in the expulsive domain and eventually shrink leading to instability.
We have shown that the instability arising in the rogue waves in a transient trap can be completely overcome by
manipulating the scattering length through Feshbach resonance. In the case of breathers,the Rabi coupling introduces
temporal stripes with single and double mode peaks around the origin while under the influence of the transient trap,
the breathers get compressed and tilted. On the other hand, the amplitude of breathers which stays constant between
a maxima and minima despite oscillating with time undergoes rapid fluctuations in a given spatial domain under the
influence of SOC. In the case of classical dark-bright solitons, we see the flipping of dark solitons to attain positive
density much similar to bright solitons under the impact of Rabi coupling. One also witnesses a 45◦
shift in the
trajectory of dark and bright soltons when the transient trap is switched on. The width of the solitons widen in the
confining trap while they shrink in the expulsive domain.

Item Type: Article
Uncontrolled Keywords: Coupled nonlinear Schrodinger equation, Darboux transformation, Lax- pair, Rogue waves, Breathers, ¨ Soliton
Divisions: PSG College of Arts and Science > Department of Physics
Depositing User: Mr Team Mosys
Date Deposited: 26 May 2025 06:04
Last Modified: 26 May 2025 06:04
URI: https://ir.psgcas.ac.in/id/eprint/2421

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