Compacton matter waves in binary Bose gases under strong nonlinear management

Abdullaev, F. Kh.; Hadi, M. S. A.; Salerno, Mario; Umarov, Bakhram

doi:10.1103/physreva.90.063637

Cited by 11 publications

(19 citation statements)

References 32 publications

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“…Similar results can be derived also for bright-dark and dark-dark compactons (omitted for brevity), in analogy to what done in Ref. [6] for the intraspecies SNM case.…”

Section: Exact Binary Compactons Stability Analysis and Numerical Resupporting

confidence: 65%

“…Notice that, differently from the intra-species management considered in [6], the tunneling constant of one species depends on the difference of the atomic density between neighboring sites [9,5] of the other species. This introduces nonlinear dispersive coupling terms in the averaged equations leading to novel types of two-component compactons.…”

Section: Model Equations and Averagingmentioning

confidence: 99%

“…This management setting is quite convenient in experiments since it involves only one parameter e.g. the inter-species scattering length (for the case of intraspecies management see [6]). Moreover, the averaged equations obtained in the present case involve the coupling of the BEC components trough the nonlinear dispersive terms that leads to novel types of binary compactons (see below).…”

Section: Model Equations and Averagingmentioning

confidence: 99%

“…From this point of view appears particularly interesting the theoretical work done on compactons of the discrete nonlinear Schrödinger equation (DNLSE), a model that is linked to physical systems such as nonlinear optical waveguides arrays and Bose-Einstein condensates (BEC) trapped in deep optical lattices (OL). In these contexts, it has been demonstrated that when subjected to periodic time dependent rapid modulations of the nonlinearity, also called strong nonlinearity management (SNM) limit, the DNLSE can support stable compactons of different types [5,6,7]. In particular, the existence of one-dimensional compactons in BEC arrays [5] and in binary BEC mixtures with time modulated intra-spices scattering length [6], as well as, the existence of compactons and vortexcompactons (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…In these contexts, it has been demonstrated that when subjected to periodic time dependent rapid modulations of the nonlinearity, also called strong nonlinearity management (SNM) limit, the DNLSE can support stable compactons of different types [5,6,7]. In particular, the existence of one-dimensional compactons in BEC arrays [5] and in binary BEC mixtures with time modulated intra-spices scattering length [6], as well as, the existence of compactons and vortexcompactons (e.g. vortices on a compact support) in two-dimensional DNLSE [7], were recently demonstrated.…”

Section: Introductionmentioning

confidence: 99%

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Binary matter-wave compactons induced by inter-species scattering length modulations

Abdullaev

Hadi

Salerno

et al. 2017

J. Phys. B: At. Mol. Opt. Phys.

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Abstract. Binary mixtures of quasi one-dimensional Bose-Einstein condensates (BEC) trapped in deep optical lattices (OL) in the presence of periodic time modulations of the inter-species scattering length, are investigated. We adopt a mean field description and use the tight binding approximation and the averaging method to derive averaged model equations in the form of two coupled discrete nonlinear Schrödinger equations (DNLSE) with tunneling constants that nonlinearly depend on the inter-species coupling. We show that for strong and rapid modulations of the interspecies scattering length, the averaged system admits exact compacton solutions, e.g. solutions that have no tails and are fully localized on a compact which are achieved when the densities at the compact edges are in correspondence with zeros of the Bessel function (zero tunneling condition). Deviations from exact conditions give rise to the formation of quasi-compactons, e.g. non exact excitations which look as compactons for any practical purpose, for which the zero tunneling condition is achieved dynamically thanks to an effective nonlinear dispersive coupling induced by the scattering length modulation. Stability properties of compactons and quasi-compactons are investigated by linear analysis and by numerical integrations of the averaged system, respectively, and results compared with those from the original (unaveraged) system. In particular, the occurrence od delocalizing transitions with existence of thresholds in the mean inter-species scattering length is explicitly demonstrated. Under proper management conditions, stationary compactons and quasi-compactons are quite stable and robust excitations that can survive on very long time scale. A parameter design and a possible experimental setting for observation of these excitations are briefly discussed.

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“…Similar results can be derived also for bright-dark and dark-dark compactons (omitted for brevity), in analogy to what done in Ref. [6] for the intraspecies SNM case.…”

Section: Exact Binary Compactons Stability Analysis and Numerical Resupporting

confidence: 65%

Section: Model Equations and Averagingmentioning

confidence: 99%

Section: Model Equations and Averagingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Binary matter-wave compactons induced by inter-species scattering length modulations

Abdullaev

Hadi

Salerno

et al. 2017

J. Phys. B: At. Mol. Opt. Phys.

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show abstract

Manipulating matter rogue waves in Bose–Einstein condensates trapped in time-dependent complicated potentials

Kengne

2023

Nonlinear Dyn

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Chaos-assisted formation of immiscible matter-wave solitons and self-stabilization in the binary discrete nonlinear Schrödinger equation

Макаров

Uleysky

2017

Communications in Nonlinear Science and Numerical Simulation

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Binary discrete nonlinear Schrödinger equation is used to describe dynamics of two-species Bose-Einstein condensate loaded into an optical lattice. Linear inter-species coupling leads to Rabi transitions between the species. In the regime of strong nonlinearity, a wavepacket corresponding to condensate separates into localized and ballistic fractions. Localized fraction is predominantly formed by immiscible solitons consisted of only one species. Initial states without spatial separation of occupied sites expose formation of immiscible solitons after a strongly chaotic transient. We calculate the finite-time Lyapunov exponent as a rate of wavepacket divergence in the Hilbert space. Using the Lyapunov analysis supplemented by Monte-Carlo sampling, it is shown that appearance of immiscible solitons after the chaotic transient corresponds to self-stabilization of the wavepacket. It is found that onset of chaos is accompanied by fast variations of kinetic and interaction energies. Crossover to self-stabilization is accompanied by reduction of condensate density due to emittance of ballistically propagating waves. It turns out that spatial separation of species should be a necessary condition for wavepacket stability in the presence of linear inter-species coupling.

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Compacton matter waves in binary Bose gases under strong nonlinear management

Cited by 11 publications

References 32 publications

Binary matter-wave compactons induced by inter-species scattering length modulations

Binary matter-wave compactons induced by inter-species scattering length modulations

Manipulating matter rogue waves in Bose–Einstein condensates trapped in time-dependent complicated potentials

Chaos-assisted formation of immiscible matter-wave solitons and self-stabilization in the binary discrete nonlinear Schrödinger equation

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