Matter rogue waves

Abstract

We predict the existence of rogue waves in Bose-Einstein condensates either loaded into a parabolic trap or embedded in an optical lattice. In the latter case, rogue waves can be observed in condensates with positive scattering length. They are immensely enhanced by the lattice. Local atomic density may increase up to tens times. We provide the initial conditions necessary for the experimental observation of the phenomenon. Numerical simulations illustrate the process of creation of rogue waves.

Properties of the temporal–spatial interference pattern during soliton interaction

“…Since nonlinear Schrödinger (NLS) equation can describe dynamics of soliton in many physical systems, such as nonlinear fiber [21], Bose-Einstein condensate [22], plasma system [23], and even water wave tank [24], we start with the well-known simplified NLS equation…”

Manipulating matter rogue waves and breathers in Bose-Einstein condensates

“…Therefore, it is of high significance to study the dynamics of RWs and breather profiles of the GP equation (1). However only few attempts have been made to identify and analyze the RWs and breather solutions of (1) [35][36][37][38][39][40]. To the best of our knowledge neither higher-order RW solutions (with certain free parameters) nor higher order breather solutions of (1) have been taken up for study.…”

Rogue waves in Lugiato-Lefever equation with variable coefficients

“…Recently, the phenomena of rogue waves has also been observed and demonstrated in optics [10][11][12], in plasmas [13], in Bose-Einstein condensates [14], atmosphere [15], in superfluid helium [16], in capillary waves [17] and even in finance [18]. These discoveries indicate that rogue waves may be rather universal.…”