Nonlinear excitations in arrays of Bose-Einstein condensates

Abdullaev, F. Kh.; Baizakov, B. B.; Darmanyan, S.; Salerno, Mario

doi:10.1103/physreva.64.043606

Cited by 258 publications

(132 citation statements)

References 44 publications

Supporting

Mentioning

125

Contrasting

Unclassified

Order By: Relevance

“…The frequently employed nearest-neighbor tight-binding approximation based on a discrete model [10,11,24] is inferior to the analysis of the complete continuous model in that it describes only one (the first) band surrounded by two semi-infinite gaps. The following sections aim to provide us with understanding of the details of the formation and stability of "gap modes" -the nonlinear localized states of the condensate in a lattice.…”

Section: Band-gap Spectrum Of Matter Waves a Linear Bloch Modesmentioning

confidence: 99%

“…Many properties of such arrays of the BEC droplets can be understood, within the framework of the meanfield approach, by employing the tight-binding approximation borrowed from solid state physics [9,10,11]. Being based on the assumption of strong localization of the condensate wave functions in the individual potential wells of the lattice, the tight-binding approximation and the resulting discrete lattice models provide a limited description of the BEC dynamics in an optical lattice.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Bose-Einstein condensates in optical lattices: Band-gap structure and solitons

et al. 2003

View full text Add to dashboard Cite

We analyze the existence and stability of spatially extended (Bloch-type) and localized states of a Bose-Einstein condensate loaded into an optical lattice. In the framework of the Gross-Pitaevskii equation with a periodic potential, we study the band-gap structure of the matter-wave spectrum in both the linear and nonlinear regimes. We demonstrate the existence of families of spatially localized matter-wave gap solitons, and analyze their stability in different band gaps, for both repulsive and attractive atomic interactions.

show abstract

Section: Band-gap Spectrum Of Matter Waves a Linear Bloch Modesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bose-Einstein condensates in optical lattices: Band-gap structure and solitons

et al. 2003

View full text Add to dashboard Cite

show abstract

“…(9). Finally, we remark that the optical lattice parameters can be fixed according to the experiment [30], e.g., λ L = 1064nm, with V 0 /E R > 10, to guarantee the validity of the tight-binding approximation [15,16,17].…”

Section: Discussionmentioning

confidence: 99%

“…In the following we report results obtained by direct numerical integrations of both the averaged Eqs. (16,17) and the original system Eq. (6), for specific choices of the (inexact) component and for different parameter values, with the interspecies interaction γ (0) 12 typically varied in the range 0 ÷ 1.0 (similar results are obtained for other choices of parameters).…”

Section: Stationary Quasi-compactons Under Inter-species Snmmentioning

confidence: 99%

See 1 more Smart Citation

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

Abdullaev

Hadi

Salerno

et al. 2017

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

View full text Add to dashboard Cite

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.

show abstract

Intermittent Emission of Particles from a Bose‐Einstein Condensate in a 1D Lattice

Lai,

Li,

Liu

et al. 2024

Annalen der Physik

View full text Add to dashboard Cite

Particle emission from a Bose‐Einstein condensate with periodically modulated interactions is investigated in a 1D lattice. Within perturbative analysis, which leads to instabilities for discrete modes, the main regimes are obtained where the system can emit a large particle jet, and the distinctly intermittent rather than continuous emission is found. The time evolution of the trapped particles exhibits a stair‐like decay, and a larger drive induces a more significant intermittency. This study further sheds light on the dynamics of the stimulating process, and demonstrates that instead of a real suspension, the intermittency represents a build‐up stage of the system. The theoretical framework might be generalized to the explorations on multiple‐site systems with analogous configurations and couplings, and offer new insights into other fundamental nonequilibrium problems.

show abstract

Nonlinear excitations in arrays of Bose-Einstein condensates

Cited by 258 publications

References 44 publications

Bose-Einstein condensates in optical lattices: Band-gap structure and solitons

Bose-Einstein condensates in optical lattices: Band-gap structure and solitons

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

Intermittent Emission of Particles from a Bose‐Einstein Condensate in a 1D Lattice

Contact Info

Product

Resources

About