2008
DOI: 10.1103/physrevlett.101.144101
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Supersolitons: Solitonic Excitations in Atomic Soliton Chains

Abstract: We show that, by tuning interactions in nonintegrable vector nonlinear Schrödinger equations modeling Bose-Einstein condensates and other relevant physical systems, it is possible to achieve a regime of elastic particlelike collisions between solitons. This would allow one to construct a Newton's cradle with solitons and supersolitons: localized collective excitations in solitary-wave chains.

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Cited by 34 publications
(48 citation statements)
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“…Such bouncing motion of multicomponent BECs implies the possibility for realizing a Newton's cradle, which was experimentally observed in a Tonks-Girardeau gas [19] and theoretically predicted for colliding matter-wave solitons [25].…”
mentioning
confidence: 99%
“…Such bouncing motion of multicomponent BECs implies the possibility for realizing a Newton's cradle, which was experimentally observed in a Tonks-Girardeau gas [19] and theoretically predicted for colliding matter-wave solitons [25].…”
mentioning
confidence: 99%
“…The figure clearly demonstrates that the momentum, which was originally imparted to the third soliton, is transferred along the chain by particle-like elastic collisions between the solitons. The collective excitation mode propagating along the soliton chains may be identified as a "supersoliton", i.e., a self-supporting localized perturbation moving along the chains of "primary" solitons [62].…”
Section: Supersolitons In Soliton Chains In the Nonlinear Couplermentioning
confidence: 99%
“…One recently elaborated example is a possibility to use arrays of optical solitons, in dissipative two-dimensional [54] and conservative one-dimensional [55] setups alike, for building optical counterparts of the Newton's cradle (NC), which are well known in mechanics and molecular dynamics [56][57][58][59], and "supersolitons", i.e., self-supporting dislocations propagating in chains of individual solitons. Previously, "supersolitons" were experimentally realized and theoretically studied in chains of fluxons populating long periodically inhomogeneous Josephson junctions [60,61], and predicted in binary Bose-Einstein condensates (BECs), with attractive interactions in each component and repulsion between them [62]. In this work, we aim to develop a robust NC model, using soliton chains in nonlinear couplers, and construct stable supersolitons as localized collective excitations in such chains.…”
Section: Introduction and The Modelmentioning
confidence: 99%
“…Such solitons pass through each other at the collision point, and the TC is independent of the initial conditions, such as the separating distances and velocities [14]. For the repulsive interspecies interactions, there exists a regime of elastic particle collisions [15], where there occurs a rebound-collision (RC) with a momentum exchange between the BBSs. It is worthwhile pointing out that, in nonlinear optics, the collisional type of BBSs can be controlled by their initial velocities [17].…”
Section: Introductionmentioning
confidence: 99%
“…In addition, the interspecies interactions of two species BECs have important effect on the collisional properties of BBSs [13][14][15][16][17]. For the attractive interactions, a through-collision (TC) occurs between the BBSs [13,14].…”
Section: Introductionmentioning
confidence: 99%