Dynamics of Paired Bright Solitons Induced by the Modulational Instability of Two-component Bose-Einstein Condensates

We investigate numerically the dynamics of paired bright solitons induced by the modulational instability of two-component Bose-Einstein condensates. We derive the analytic gain spectrum by the modulational instability in terms of the interspecies and intraspecies scattering constants and classify the region where the instability occurs. The constraints on the interspecies and intraspecies scattering constants for the existence of the paired bright solitons are found. Using numerical simulations, it is shown that the paired bright solitons induced by the modulational instability exhibit complicated dynamical behaviors depending on the sign and strength of the interspecies and intraspecies scattering constants. - PACS numbers: 03.75.Fi, 05.30.Jp, 32.80Pj, 67.90.+z

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Modulational instability of two-component dipolar Bose-Einstein condensates in an optical lattice

Acta Physica Sinica ◽

10.7498/aps.57.3435 ◽

2008 ◽

Vol 57 (6) ◽

pp. 3435

Author(s):

Huang Jin-Song ◽

Chen Hai-Feng ◽

Xie Zheng-Wei

Keyword(s):

Optical Lattice ◽

Modulational Instability ◽

Two Component ◽

Bose Einstein

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Modulational instability for a self-attractive two-component Bose–Einstein condensate

Chinese Physics B ◽

10.1088/1674-1056/18/10/017 ◽

2009 ◽

Vol 18 (10) ◽

pp. 4177-4181 ◽

Cited By ~ 7

Author(s):

Li Sheng-Chang ◽

Duan Wen-Shan

Keyword(s):

Modulational Instability ◽

Einstein Condensate ◽

Bose Einstein Condensate ◽

Two Component ◽

Bose Einstein

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GENERATION OF BRIGHT MATTER-WAVE SOLITON PATTERNS IN MIXTURES OF BOSE–EINSTEIN CONDENSATES WITH CUBIC AND QUINTIC NONLINEARITIES

International Journal of Modern Physics B ◽

10.1142/s0217979214500039 ◽

2014 ◽

Vol 28 (04) ◽

pp. 1450003 ◽

Cited By ~ 5

Author(s):

DIDIER BELOBO BELOBO ◽

GERMAIN HUBERT BEN-BOLIE ◽

TIMOLÉON CRÉPIN KOFANÉ

Keyword(s):

Stability Analysis ◽

Linear Stability ◽

Linear Stability Analysis ◽

Numerical Experiments ◽

Modulational Instability ◽

Numerical Results ◽

Matter Wave ◽

Bright Solitons ◽

Bose Einstein

The modulational instability (MI) of binary condensates with cubic-quintic nonlinearities is investigated. Using a linear stability analysis, a gain of instability is derived then, effects of the quintic nonlinearities on the instability gain are identified. To be precise, attractive intraspecie quintic nonlinearities enhance the instability, while repulsive quintic intraspecie nonlinearities soften the instability. Besides, small attractive and large repulsive quintic inter-species nonlinearities increase the instability. Numerical experiments quite well corroborate the analytical predictions. Further numerical results show effects of the cubic and the quintic nonlinearities on the propagation of trains of bright solitons generated.

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Modified nonlinear Schrödinger models, 𝒞𝒫s𝒯d invariant N-bright solitons and infinite towers of anomalous charges

International Journal of Modern Physics B ◽

10.1142/s0217979221502726 ◽

2021 ◽

pp. 2150272

Author(s):

H. Blas ◽

M. Cerna Maguiña ◽

L. F. dos Santos

Keyword(s):

Numerical Simulations ◽

Type Systems ◽

Einstein Condensation ◽

Anomaly Cancellation ◽

Nonlinear Schrödinger ◽

Bright Solitons ◽

Wide Range ◽

Potential Applications ◽

Special Complex ◽

Bose Einstein

Modifications of the nonlinear Schrödinger (MNLS) model [Formula: see text] where [Formula: see text] and [Formula: see text], are considered. We show that the MNLS models possess infinite towers of quasi-conservation laws for soliton-type configurations with a special complex conjugation, shifted parity and delayed time reversion ([Formula: see text]) symmetry. Infinite towers of anomalous charges appear even in the standard NLS model for [Formula: see text] invariant [Formula: see text]-bright solitons. The true conserved charges emerge through some kind of anomaly cancellation mechanism. Our analytical results are supported by numerical simulations of two-bright-soliton scatterings with potential [Formula: see text]. Our numerical simulations show the elastic scattering of bright solitons for a wide range of values of the set [Formula: see text] and a variety of amplitudes and relative velocities. The MNLS-type systems are quite ubiquitous, and so, our results may find potential applications in several areas of nonlinear physics, such as Bose–Einstein condensation, superconductivity, soliton turbulence and the triality among gauge theories, integrable models and gravity theories.

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