Engineering Bright Solitons to Enhance the Stability of Two-Component Bose-Einstein Condensates

TL;DR

This paper demonstrates how to extend the lifetime of bright solitons in a two-component Bose-Einstein condensate by matching time-dependent interactions with potential modulation, supported by analytical and numerical stability analyses.

Contribution

It introduces a method to enhance bright soliton stability in coupled BECs through synchronized time-dependent interaction and potential modulation in an integrable system.

Findings

Soliton lifetime can be increased by matching interaction decay with potential modulation.

Analytical solutions confirm stability under specific time-dependent conditions.

Random noise does not destabilize the solitons in the proposed setup.

Abstract

We consider a system of coupled Gross-Pitaevskii (GP) equations describing a binary quasi-one-dimensional Bose-Einstein condensate (BEC) with intrinsic time-dependent attractive interactions, placed in a time-dependent expulsive parabolic potential, in a special case when the system is integrable (a deformed Manakov's system). Since the nonlinearity in the integrable system which represents binary attractive interactions exponentially decays with time, solitons are also subject to decay. Nevertheless, it is shown that the robustness of bright solitons can be enhanced in this system, making their respective lifetime longer, by matching the time dependence of the interaction strength (adjusted with the help of the Feshbach-resonance management) to the time modulation of the strength of the parabolic potential. The analytical results, and their stability, are corroborated by numerical simulations. In particular, we demonstrate that the addition of random noise does not impact the stability of the solitons.