Oblate Skyrmions

Leblond, Frédéric; Marleau, Luc

doi:10.1103/physrevd.58.054002

Cited by 13 publications

(25 citation statements)

References 14 publications

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“…Notice that when these parameters preserve the spherical symmetry the old results of ANW are recovered. It should be noticed that this deformation occurs in the internal space of constraints and, therefore, can not be compared directly with the results of the "deformed skyrmions" proposed earlier where the deformation was encoded in the profile function of the hedgehodge solution [8,22,23] Our solution provides new free parameters related to the deformation which may be adjusted adequately to fit experimental results.…”

Section: Final Discussionmentioning

confidence: 99%

Wess-Zumino terms for the deformed Skyrme model

Neves

Wotzasek

2000

Phys. Rev. C

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A formulation of Skyrme model as an embedded gauge theory with the constraint deformed away from the spherical geometry is proposed. The gauge invariant formulation is obtained firstly generalizing the intrinsic geometry of the model and then converting the constraint to first-class through an iterative Wess-Zumino procedure. The gauge invariant model is quantized via Dirac method for first-class system. A perturbative calculation provides new free parameters related to deformation that improve the energy spectrum obtained in earlier approaches.

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Section: Final Discussionmentioning

confidence: 99%

Wess-Zumino terms for the deformed Skyrme model

Neves

Wotzasek

2000

Phys. Rev. C

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“…(8). This term affects the electric charge with the opposite sign for charged and neutral solitons, especially in the region such that Fr =2 and sin 1.…”

Section: Field Configurations and Charge Distributionmentioning

confidence: 99%

Skyrmions coupled to the electromagnetic field via the gauged Wess-Zumino term

Ohtani

Ohta

2004

Phys. Rev. D

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In soliton models expressed in terms of the nonlinear chiral field, the electric current has an anomalous gauge-field contribution as the baryon current does. We study the spin polarized Skyrmions coupled with the electromagnetic field via the gauged Wess-Zumino term and calculate configurations of the Skyrmion and the gauge field with boundary conditions to ensure the physical charge number for baryons. Although the electromagnetic field via the gauged Wess-Zumino term affects physical quantities in small amounts, we find that the magnetic field forms a dipole structure owing to a circular electric current around the spin-quantization axis of the soliton. This is understood on an analogy with the Meissner effect in the super conductor. The electric-charge distributions turn out to have characteristic structures depending on the total charge, which suggests the intrinsic deformation of baryons due to orbital motions of the constituents.

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“…One of the current trends in modern fiber optics is associated with the use of micro-and nano-structured systems for the light flux control. In recent years, a whole section of nonlinear science has been formed, which is devoted to theoretical and experimental studies of wave processes in spatially periodic nonlinear media, in which main attention is focused on the following issues: supercontinuum generation [1,2], shortening of laser pulse duration [3][4][5][6][7][8][9], control of the wave field structure [10][11][12][13][14][15], formation of light bullets [16][17][18][19][20][21][22], soliton-like solutions [22,23], and generation of intense laser pulses in active fiber systems.…”

Section: Introductionmentioning

confidence: 99%

Multicore-fiber solitons and laser-pulse self-compression at light-bullet excitation in the central core of multicore fibers

2019

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The propagation of laser pulses in multi-core fibers (MCF) made of a central core and an even number of cores located in a ring around it is studied. Approximate quasi-soliton homogeneous solutions of the wave field in the considered MCF are found. The stability of the in-phase soliton distribution is shown analytically and numerically. At low energies, its wave field is distributed over all MCF cores and has a duration, which exceeds the duration of the NSE soliton with the same energy by many (five-six) times. On the contrary, almost all of the radiation at high energies is concentrated in the central core with a duration similar to the NSE soliton. The transition between the two types of distributions is very sharp and occurs at a critical energy, which is weakly dependent on the number of cores and on the coupling coefficient with the central core. The self-compression mechanism of laser pulses was proposed. It consists in injecting such MCF with a wave packet being similar to the found soliton and having an energy larger than the critical value. It is shown that the compression ratio weakly depends on the energy and the number of cores and is approximately equal to 6 times with an energy efficiency of almost 100%. The use of longer laser pulses allows one to increase the compression ratio up to 30-40 times with an energy efficiency of more than 50%. The obtained analytical estimates of the compression ratio and its efficiency are in good agreement with the results of numerical simulation.

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Oblate Skyrmions

Cited by 13 publications

References 14 publications

Wess-Zumino terms for the deformed Skyrme model

Wess-Zumino terms for the deformed Skyrme model

Skyrmions coupled to the electromagnetic field via the gauged Wess-Zumino term

Multicore-fiber solitons and laser-pulse self-compression at light-bullet excitation in the central core of multicore fibers

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