Matter rogue wave in Bose-Einstein condensates with attractive atomic interaction

TL;DR

This paper explores the formation, stability, and control of matter rogue waves in Bose-Einstein condensates with attractive interactions, combining analytical, numerical, and experimental approaches.

Contribution

It provides a detailed analysis of rogue wave formation mechanisms and proposes an experimental protocol for observing these phenomena in Bose-Einstein condensates.

Findings

Rogue waves form due to energy and atom accumulation at the center.

The decay rate of rogue waves can be controlled by trapping frequency.

Small periodic perturbations can induce near-ideal rogue waves.

Abstract

We investigate the matter rogue wave in Bose-Einstein Condensates with attractive interatomic interaction analytically and numerically. Our results show that the formation of rogue wave is mainly due to the accumulation of energy and atoms toward to its central part; Rogue wave is unstable and the decay rate of the atomic number can be effectively controlled by modulating the trapping frequency of external potential. The numerical simulation demonstrate that even a small periodic perturbation with small modulation frequency can induce the generation of a near-ideal matter rogue wave. We also give an experimental protocol to observe this phenomenon in Bose-Einstein Condensates.