Vortex Transmutation

Ferrando, Albert; Zacarés, Mario; García-March, Miguel Ángel; Monsoriu, Juan A.; Córdoba, Pedro Fernández de

doi:10.1103/physrevlett.95.123901

Cited by 73 publications

(80 citation statements)

References 15 publications

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“…In addition, we have revealed that incoherent interactions may result in new composite solitons being either a four-lobe DFS or a ring-DVS. These rich interactions open up new prospects for all-optical routing by designing the interactions between different higher-order solitons [39], and soliton-controlling in other nonlinear periodic structures such as photonic crystals [40] and Bose-Einstein condensates [41].…”

Section: Resultsmentioning

confidence: 99%

Beam steering and topological transformations driven by interactions between a discrete vortex soliton and a discrete fundamental soliton

et al. 2014

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Abstract:We study coherent and incoherent interactions between discrete vortex and fundamental solitons in two-dimensional photonic lattices, presenting a new scheme for all-optical routings and topological transformations of vorticities. Due to the multi-lobe intensity and step-phase structure of the discrete vortex soliton, the coherent soliton-interactions allow both solitons to be steered into multiple different possible destination ports depending on the initial phase of the discrete fundamental soliton. We show that charge-flipping of phase singularities and orbital angular momentum transfer can occur during the coherent interactions between the two solitons. For incoherent interactions, by controlling the relative intensities of the two solitons, we reveal that soliton-steering can be realized by either attracting the discrete fundamental soliton to four ports or localizing the four-lobe discrete vortex soliton into a ring soliton.

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Section: Resultsmentioning

confidence: 99%

Beam steering and topological transformations driven by interactions between a discrete vortex soliton and a discrete fundamental soliton

et al. 2014

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“…The effect of such a rotation is the adding of m times the same angle to its phase [30,60]. It was shown that the values of m are restricted by the order of symmetry [28], and hence,…”

Section: Vortices In a Weakly Interacting Bose-einstein Condensatementioning

confidence: 99%

“…It was also shown that one can relate the angular momentum of a circularly symmetric vortex struck by a discretly symmetric potential of order N with the angular pseudomomentum m of the wave function in the discrete symmetry media by the transformation rule [28][29][30],…”

Section: Vortices In a Weakly Interacting Bose-einstein Condensatementioning

confidence: 99%

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Symmetry breaking and singularity structure in Bose-Einstein condensates

et al. 2012

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We determine the trajectories of vortex singularities that arise after a single vortex is broken by a discretely symmetric impulse in the context of Bose-Einstein condensates in a harmonic trap. The dynamics of these singularities are analyzed to determine the form of the imprinted motion. We find that the symmetry-breaking process introduces two effective forces: a repulsive harmonic force that causes the daughter trajectories to be ejected from the parent singularity and a Magnus force that introduces a torque about the axis of symmetry. For the analytical noninteracting case we find that the parent singularity is reconstructed from the daughter singularities after one period of the trapping frequency. The interactions between singularities in the weakly interacting system do not allow the parent vortex to be reconstructed. Analytic trajectories were compared to the actual minima of the wave function, showing less than 0.5% error for an impulse strength of v = 0.00005. We show that these solutions are valid within the impulse regime for various impulse strengths using numerical integration of the Gross-Pitaevskii equation. We also show that the actual duration of the symmetry-breaking potential does not significantly change the dynamics of the system as long as the strength is below v = 0.0005

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“…36,37. Discrete vortex solitons can also be created in photonic crystal fibers and other types of photonic lattices 38,39 . Discrete vortex solitons are frequently associated with soliton clusters, which feature interesting mobility properties and rotating propagation [29][30][31][40][41][42] .…”

Section: Introductionmentioning

confidence: 99%

Stable optical vortices in nonlinear multicore fibers

et al. 2015

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The multicore fiber (MCF) is a physical system of high practical importance. In addition to standard exploitation, MCFs may support discrete vortices that carry orbital angular momentum suitable for spatial-division multiplexing in high-capacity fiber-optic communication systems. These discrete vortices may also be attractive for high-power laser applications. We present the conditions of existence, stability, and coherent propagation of such optical vortices for two practical MCF designs. Through optimization, we found stable discrete vortices that were capable of transferring high coherent power through the MCF. Keywords: coherent energy propagation; multicore fibers; nonlinear vortices INTRODUCTION Vortex structures are widespread in nature and are found in both macroscopic atmospheric phenomena, such as tornadoes and the Great Red Spot of Jupiter, and microscopic-scale objects in quantum physics. Mathematically, vortices are related to topological defects, the accumulation of geometrical phases, and the phase singularity of a complex linear or nonlinear field (see, e.g., Refs. 1-8 and references therein).Optical vortices present a fascinating and expanding area of research that combines fundamental theoretical and mathematical science and maturing applied technologies (see recent review 4 ). Optical vortices are characterized by a wave field with zero intensity, an undefined phase in the vortex center (pivot point) and the presence of a screw dislocation of the wave front 5,6 . All transmutations of vortices in linear and nonlinear fields obey the conservation of the topological charge S, which is defined as the total change of the phase along a closed curve surrounding the pivotal point of the vortex divided by 2p. The special behavior of the phase and amplitude near the vortex pivot point results in the circular flow of energy in optical vortices [7][8][9][10] . This property is closely related to the ability of optical vortices to carry orbital angular momentum and energy [11][12][13][14] . This property is interesting for various applications, such as in optical traps [15][16][17] , information transmission 18-20 , astrophysics 21,22 , microscopy 23,24 , and laser micromachining 25,26 .In nonlinear media, optical vortices are treated as (topological) vortex solitons 4,27,28 . Such topologically stable pulses can act as information carriers 4,[29][30][31] . It is important that continuum vortex solitons are highly sensitive to azimuthal instability. Stabilization is possible by applying optically induced photonic lattices, which lead to a discrete optical vortex field. Different types of discrete lattice vortex solitons were theoretically predicted in the Refs. 32-35 and experimentally demonstrated in the Refs. 36,37. Discrete vortex solitons can also be created in photonic crystal fibers and other types of photonic lattices 38,39 . Discrete vortex solitons are frequently associated with soliton clusters, which feature interesting mobility properties and

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Vortex Transmutation

Cited by 73 publications

References 15 publications

Beam steering and topological transformations driven by interactions between a discrete vortex soliton and a discrete fundamental soliton

Beam steering and topological transformations driven by interactions between a discrete vortex soliton and a discrete fundamental soliton

Symmetry breaking and singularity structure in Bose-Einstein condensates

Stable optical vortices in nonlinear multicore fibers

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