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Journal of Physics B Atomic Molecular and Optical Physics

Controlling rogue wave triplets in Bose–Einstein condensate

Shally Loomba, Ritu Pal, Choragudi Nagaraja Kumar

Published Apr 14, 2015• 4 citations
Publisher

Abstract

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.

DOI
10.1088/0953-4075/48/10/105003

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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.
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.
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.
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Abstract The modulational instability of two-component Bose–Einstein condensates (BECs) under an external parabolic potential is discussed. Based on the trapped two-component Gross–Pitaevskill equations, a time-dependent dispersion relation is obtained analytically by means of the modified lens-type transformation and linear stability analysis. It is shown that a modulational unstable time scale exists for trapped two-component BECs. The modulational properties—which are determined by the wave number, external trapping parameter, intra- and inter-species atomic interactions—are modified significantly. The analytical results are confirmed by direct numerical simulation. Our results provide a criterion for judging the occurrence of instability of the trapped two-component BECs in experiment.