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Compression of Bright Bound Solitons in the Bose-Einstein Condensates with Exponentially Time-Dependent Atomic Scattering Length by the Feshbach Resonance

Zhi‐Yuan Sun, Yi-Tian Gao, Xin Yu +1 more

International Journal of Theoretical PhysicsApr 16, 20113 citations

Nonautonomous bright and dark solitons of Bose–Einstein condensates with Feshbach-managed time-dependent scattering length

Qiuyan Li, Zai-Dong Li, Lu Li +1 more

arXiv:1012.5463Optics CommunicationsMay 6, 201032 citations

Spontaneous soliton formation in the growth of a Bose-Einstein condensate

G. M. Lee, Simon A. Haine, Matthew J. Davis

Jan 1, 20090 citations

Fission and Fusion of Two Bright Solitons in a Growing Bose–Einstein Condensate

He Zhang-Ming, Denglong Wang, Weixi Zhang +2 more

We analytically study the interaction characteristics of two bright solitons in a one-dimensional growing Bose–Einstein condensate with time-dependent periodic atomic scattering length. It is shown that the interaction between two bright solitons can generate fission and fusion in the presence of both time-dependent periodic atomic scattering length and the growing case. Furthermore, we propose experimental protocols to realize these interaction phenomena by varying the scattering length via the Feshbach resonance in the future experiment.We analytically study the interaction characteristics of two bright solitons in a one-dimensional growing Bose–Einstein condensate with time-dependent periodic atomic scattering length. It is shown that the interaction between two bright solitons can generate fission and fusion in the presence of both time-dependent periodic atomic scattering length and the growing case. Furthermore, we propose experimental protocols to realize these interaction phenomena by varying the scattering length via the Feshbach resonance in the future experiment.

Chinese Physics LettersSep 1, 20087 citations

Controlling soliton interactions in Bose-Einstein condensates by synchronizing the Feshbach resonance and harmonic trap

Xiao-Fei Zhang, Qin Yang, Jie-Fang Zhang +2 more

We present how to control interactions between solitons, either bright or dark, in Bose-Einstein condensates by synchronizing Feshbach resonance and harmonic trap. Our results show that as long as the scattering length is to be modulated in time via a changing magnetic field near the Feshbach resonance, and the harmonic trapping frequencies are also modulated in time, exact solutions of the one-dimensional nonlinear Schr\"odinger equation can be found in a general closed form, and interactions between two solitons are modulated in detail in currently experimental conditions. We also propose experimental protocols to observe the phenomena such as fusion, fission, warp, oscillation, elastic collision in future experiments.We present how to control interactions between solitons, either bright or dark, in Bose-Einstein condensates by synchronizing Feshbach resonance and harmonic trap. Our results show that as long as the scattering length is to be modulated in time via a changing magnetic field near the Feshbach resonance, and the harmonic trapping frequencies are also modulated in time, exact solutions of the one-dimensional nonlinear Schr\"odinger equation can be found in a general closed form, and interactions between two solitons are modulated in detail in currently experimental conditions. We also propose experimental protocols to observe the phenomena such as fusion, fission, warp, oscillation, elastic collision in future experiments.

arXiv:0808.3831Physical Review AFeb 11, 2008100 citations

Bright solitons in Bose-Einstein condensates

Josselin C. Garnier, F. Kh. Abdullaev

Jan 1, 20081 citation

Fission and Fusion of Two Bright Solitons in a Growing Bose-Einstein Condensate

Abstract

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Fission and Fusion of Two Bright Solitons in a Growing Bose-Einstein Condensate

Abstract

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