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Kumbakonam, India

Vinayagam P.S.,Center for Nonlinear Science | Radha R.,Center for Nonlinear Science | Porsezian K.,Pondicherry University
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | Year: 2013

Using gauge transformation method, we generate rogue waves for the two-component Bose-Einstein condensates (BECs) governed by the symmetric coupled Gross-Pitaevskii (GP) equations and study their dynamics. We also suggest a mechanism to tame the rogue waves either by manipulating the scattering length through Feshbach resonance or the trapping frequency, a phenomenon not witnessed in the domain of BECs, and we believe that these results may have wider ramifications in the management of rogons. © 2013 American Physical Society. Source


Radha R.,Center for Nonlinear Science | Vinayagam P.S.,Center for Nonlinear Science | Porsezian K.,Pondicherry University
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | Year: 2013

We reconsider the collisional dynamics of bright solitons in the coupled nonlinear Schrödinger equation. We observe that apart from the intensity redistribution in the interaction of bright solitons, one also witnesses a rotation of the trajectories of bright solitons. The angle of rotation can be varied by suitably manipulating the self-phase-modulation (SPM) or cross-phase-modulation (XPM) parameters. The rotation of the trajectories of the bright solitons arises due to the excess energy that is injected into the dynamical system through SPM or XPM. This extra energy contributes not only to the rotation of the trajectories, but also to the realignment of intensity distribution between the two modes. We also notice that the angular separation between the bright solitons can also be maneuvered suitably. The above results, which exclude quantum superposition for the field vectors, may have wider ramifications in nonlinear optics, Bose-Einstein condensates, and left- and right-handed metamaterials. © 2013 American Physical Society. Source


Radha R.,Center for Nonlinear Science | Vinayagam P.S.,Center for Nonlinear Science | Porsezian K.,Pondicherry University
Romanian Reports in Physics | Year: 2014

We study the dynamics of spatially coupled Bose-Einstein condensates and generate bright and dark solitons employing gauge transformation approach. We observe that when bright/dark solitons evolve in time, the centre of localization of the wave packet gets shifted to the left. We also notice that the spatial coupling stretches the wave packet which can be used as a mechanism to stabilize the condensates. The impact of spatial coupling is suitably exploited to generate an interference pattern in the collision of bright-bright, dark-dark and dark-bright solitons. Source


Balaz A.,University of Belgrade | Paun R.,Horia Hulubei National Institute of Physics and Nuclear Engineering | Nicolin A.I.,Horia Hulubei National Institute of Physics and Nuclear Engineering | Balasubramanian S.,Center for Nonlinear Science | Ramaswamy R.,Center for Nonlinear Science
Physical Review A - Atomic, Molecular, and Optical Physics | Year: 2014

We study the emergence of Faraday waves in cigar-shaped collisionally inhomogeneous Bose-Einstein condensates subject to periodic modulation of the radial confinement. Considering a Gaussian-shaped radially inhomogeneous scattering length, we show through extensive numerical simulations and detailed variational treatment that the spatial period of the emerging Faraday waves increases as the inhomogeneity of the scattering length gets weaker, and that it saturates once the width of the radial inhomogeneity reaches the radial width of the condensate. In the regime of strongly inhomogeneous scattering lengths, the radial profile of the condensate is akin to that of a hollow cylinder, while in the weakly inhomogeneous case the condensate is cigar shaped and has a Thomas-Fermi radial density profile. Finally, we show that when the frequency of the modulation is close to the radial frequency of the trap, the condensate exhibits resonant waves which are accompanied by a clear excitation of collective modes, while for frequencies close to twice that of the radial frequency of the trap, the observed Faraday waves set in forcefully and quickly destabilize condensates with weakly inhomogeneous two-body interactions. © 2014 American Physical Society. Source


Balasubramanian S.,Center for Nonlinear Science | Ramaswamy R.,Center for Nonlinear Science | Nicolin A.I.,Horia Hulubei National Institute of Physics and Nuclear Engineering
Romanian Reports in Physics | Year: 2013

In this short note, we investigate by variational means the emergence of Faraday waves in cigar-shaped Bose-Einstein condensates with radially inhomoge-neous scattering lengths subject to periodic modulations of the radial confining potential. Our main result is that for weakly inhomogeneous scattering lengths, the Faraday waves follow a dispersion relation identical to that observed in condensates with spatially homogeneous scattering lengths. Source

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