Outcoupling vector solitons from a Bose-Einstein condensate with time-dependent interatomic forces

Feijoo, David; Paredes, Ángel; Michinel, Humberto

doi:10.1103/physreva.87.063619

Cited by 14 publications

(6 citation statements)

References 62 publications

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“…We note at this point, that the coupled nonlinear Schrödinger equations considered in this work, may be physically related to coupled nonlinear waveguide arrays [63] as well as two-species Bose-Einstein condestates [64,65,66]. These MI results, together with those obtained in [51], open many opportunities for future research directions.…”

Section: Discussionmentioning

confidence: 54%

Modulational instability in a PT-symmetric vector nonlinear Schrödinger system

Cole

Makris

Musslimani

et al. 2016

Physica D: Nonlinear Phenomena

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A class of exact multi-component constant intensity solutions to a vector nonlinear Schrödinger (NLS) system in the presence of an external P T-symmetric complex potential is constructed. This type of uniform wave pattern displays a non-trivial phase whose spatial dependence is induced by the lattice structure. In this regard, light can propagate without scattering while retaining its original form despite the presence of inhomogenous gain and loss. These constant-intensity continuous waves are then used to perform a modulational instability analysis in the presence of both non-hermitian media and cubic nonlinearity. A linear stability eigenvalue problem is formulated that governs the dynamical evolution of the periodic perturbation and its spectrum is numerically determined using Fourier-Floquet-Bloch theory. In the selffocusing case, we identify an intensity threshold above which the constant-intensity modes are modulationally unstable for any Floquet-Bloch momentum belonging to the first Brillouin zone. The picture in the self-defocusing case is different. Contrary to the bulk vector case, where instability develops only when the waves are strongly coupled, here an instability occurs in the strong and weak coupling regimes. The linear stability results are supplemented with direct (nonlinear) numerical simulations.

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Section: Discussionmentioning

confidence: 54%

Modulational instability in a PT-symmetric vector nonlinear Schrödinger system

Cole

Makris

Musslimani

et al. 2016

Physica D: Nonlinear Phenomena

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“…Taking this into regard, we here address a novel system of coupled NLS-type equations, including the SPM, XPM, and FWM terms with a time-dependent coefficient, and a time-dependent antitrapping parabolic potential. The equations are written in the notation corresponding to BEC models based on Gross-Pitaevskii (GP) equations [22,23]:…”

Section: The Modelmentioning

confidence: 99%

“…The dynamics of multicomponent solitons is described by systems of coupled nonlinear Schrödinger (NLS) equations [see, e.g., recent works [8]- [10], and very recent ones [11]- [17] dealing with two-component solitons in spin-orbit-coupled Bose-Einstein condensates (BECs)]. In particular, the concept of energy sharing in the Manakov model [18], or in the modified version of this model [19] governed by coupled NLS equations [20], was a catalyst for looking for new integrable models in nonlinear optics [21], BECs [22,23], metamaterials [24,25], etc. It was found that, in all available integrable systems of two coupled NLS-type equations, the ratio between the self-phase-modulation (SPM) and cross-phase-modulation (XPM) coefficients, which account for the interaction of the components with themselves or with each other, are equal, while physically realistic systems depart from this constraint.…”

Section: Introductionmentioning

confidence: 99%

Persistent bright solitons in sign-indefinite coupled nonlinear Schrödinger equations with a time-dependent harmonic trap

Radha¹,

Vinayagam²,

Sudharsan³

et al. 2016

Communications in Nonlinear Science and Numerical Simulation

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We introduce a model based on a system of coupled nonlinear Schrödinger (NLS) equations with opposite signs in front of the kinetic and gradient terms in the two equations. It also includes time-dependent nonlinearity coefficients and a parabolic expulsive potential. By means of a gauge transformation, we demonstrate that, with a special choice of the time dependence of the trap, the system gives rise to persistent solitons. Exact single-and two-soliton analytical solutions and their stability are corroborated by numerical simulations. In particular, the exact solutions exhibit inelastic collisions between solitons.

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“…The dynamics of BEC solitons in the harmonic-lattice potentials has become a hot research topic both in theory [11][12][13] and experiment [14,15]. Some more recent accounts have been presented in [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Nonautonomous vector matter waves in two-component Bose-Einstein condensates with combined time-dependent harmonic-lattice potential

Zhou

Petrović

et al. 2015

J. Opt.

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We construct exact self-similar soliton solutions of three-dimensional coupled Gross–Pitaevskii equations for two-species Bose–Einstein condensates (BECs) in a combined time-dependent harmonic-lattice potential. Based on these solutions, we investigate the control and manipulation of solitary waves for three kinds of BECs with changing diffraction and nonlinearity coefficients; the solutions include Ma breathers and Peregrine and Akhmediev soliton solutions. Our results indicate that matter waves readily propagate in this system. It is shown that diffraction and lattice potential factors play important roles in the beam evolution characteristics, such as the peak, the phase offset, the linear phase, and the chirp.

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Outcoupling vector solitons from a Bose-Einstein condensate with time-dependent interatomic forces

Cited by 14 publications

References 62 publications

Modulational instability in a PT-symmetric vector nonlinear Schrödinger system

Modulational instability in a PT-symmetric vector nonlinear Schrödinger system

Persistent bright solitons in sign-indefinite coupled nonlinear Schrödinger equations with a time-dependent harmonic trap

Nonautonomous vector matter waves in two-component Bose-Einstein condensates with combined time-dependent harmonic-lattice potential

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