Exciting rogue waves, breathers, and solitons in coherent atomic media

Abstract

We propose a scheme that excites rogue waves via electromagnetically induced transparency (EIT), which can also excite breathers and solitons. The system is a resonant Λ-type atomic ensemble. Under EIT conditions, the envelope equation of the probe field can be reduced to several different models, such as the saturable nonlinear Schrödinger equation (SNLSE), and SNLSE with the trapping potential provided by a far-detuned laser field or a magnetic field. In this scheme, rogue waves can be generated by different initial pulses, such as the Gaussian wave with (or without) the uniform background. The scheme can be used to obtain rogue waves, breathers and solitons. We show the existence regions of rogue waves, breathers, and solitons as the function of the amplitude and width of the initial pulse. The novelty of our paper is that, we not only show rogue waves in the integrable system numerically, but also present the method to generate and control rogue waves in the non-integrable system.

Generation and Controllability of High-Dimensional Rogue Waves in an Electromagnetically Induced Transparent Medium

“…On the one hand, rogue waves have localization of time and space [4,5]. On the other hand, the peak height of the rogue wave is at least 2.2 times higher than the background plane value [6,7,17,18]. In the past few decades, the research progress of rogue waves was slow.…”

Multi-elliptic rogue wave clusters of the nonlinear Schrödinger equation on different backgrounds

“…The current hot topic in the nonlinear science is to investigate the cause and nature of rogue waves [37]. This research is attracting more attention as well because a new scheme for RWs excitation, via the electromagnetically induced transparency (EIT) [38][39][40], was described recently [41].…”

Higher-order breathers as quasi-rogue waves on a periodic background

“…[12]. The physics of RWs is getting more attention since a new scheme to excite RWs, such as via electromagnetically induced transparency (EIT) [13][14][15], is proposed [16].…”