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Chinese Physics Letters

Long-Lived Rogue Waves and Inelastic Interaction in Binary Mixtures of Bose—Einstein Condensates

Chong Liu, Zhan-Ying Yang, Li-Chen Zhao, Wen‐Li Yang, Rui‐Hong Yue

Published Apr 1, 2013• 8 citations
Publisher

Abstract

We investigate bright, dark and two rogue waves in two-component Bose—Einstein condensates. It is found that one rogue wave of a new structure that contains two humps and two valleys around one center in the temporal-spatial distribution interacts with the conventional rogue wave. We present an effective way to obtain long-lived rogue waves through managing the nonlinear interaction with modulating trapping frequency and interchange atoms between thermal clouds and condensates. The results provide many possibilities to manipulate rogue waves experimentally in the condensate system.

DOI
10.1088/0256-307x/30/4/040304

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We investigate bright, dark and two rogue waves in two-component Bose—Einstein condensates. It is found that one rogue wave of a new structure that contains two humps and two valleys around one center in the temporal-spatial distribution interacts with the conventional rogue wave. We present an effective way to obtain long-lived rogue waves through managing the nonlinear interaction with modulating trapping frequency and interchange atoms between thermal clouds and condensates. The results provide many possibilities to manipulate rogue waves experimentally in the condensate system.
Abstract We present the coherent control of rogue wave triplets in Bose–Einstein condensate (BEC) for the parametric choices which support their occurrence experimentally. This analysis has been done for two cases involving the trapping of BEC in (i) time-independent (ii) time-dependent harmonic potential. We have found that these waves no longer lie on the apex of the equilateral triangle as in the case of homogeneous system but can be manipulated by modulating the trap. This enables us to control the relative distance among the three rogue wave peaks and their amplitude, for a given nonlinearity parameter. These results can be helpful to stimulate the study of rogue wave triplets experimentally in BEC.
In chapter 6, one explores the dynamics of vectorial (two-component) condensates described by coupled Gross–Pitaevskii -type equations endowed with intra- and inter-species interactions. It is shown that the condensates in the temporal harmonic trap are long lived compared to their counterparts in time-independent traps. The dynamics of temporally and spatially coupled Bose–Einstein condensates are also studied. It is also demonstrated that rogue waves, which are inherently unstable can be stabilized through Feshbach resonance by manipulating scattering lengths. In other words, it is shown that one can enhance the lifetime of rogue waves through Feshbach resonance management.
We present three families of exact matter-wave soliton solutions for an effective one-dimension two-component Bose—Einstein condensates (BECs) with tunable interactions, harmonic potential and gain or loss term. We investigate the dynamics of bright-bright solitons, bright-dark solitons and dark-dark solitons for the time-dependent expulsive harmonic trap potential, periodically modulated harmonic trap potential, and kinklike modulated harmonic trap potential. Through the Feshbach resonance, these dynamics can be realized in experiments by suitable control of time-dependent trap parameters, atomic interactions, and interaction with thermal cloud.
We study the interaction of dark–bright solitons in two-component Bose–Einstein condensates by suitably tailoring the trap potential, atomic scattering length and atom gain or loss. We show that the coupled Gross–Pitaevskii equation can be mapped onto the Manakov model. An interesting class of matter wave solitons and their interaction are identified with time-independent and periodically modulated trap potentials, which can be experimentally realized in two-component condensates. These include periodic collapse and revival of solitons, and snake-like matter wave solitons as well as different kinds of two-soliton interactions.