Filamentation and coalescence of singular optical pulses in narrow-gap semiconductors and modeling of self-organization of vortex solitons using two-photon absorption

Škarka, V.; Aleksić, Najdan B.; Derbazi, M.; Berezhiani, V. I.

doi:10.1103/physrevb.81.035202

Cited by 10 publications

(4 citation statements)

References 37 publications

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“…Direct numerical simulations of Eq. ( 11) taking into account the initial angular perturbations for R and C [40] in (12) show that the true stability area for axisymmetric vortex soliton I (in Fig. 5) is much smaller.…”

Section: Variational Approach and Numerical Simulation For Vortex Sol...mentioning

confidence: 97%

Noise-induced topological transformations of vortex solitons in optical fibers filled with a cold atomic gas

Prokhorov,

Gladush,

Gubin

et al. 2013

Preprint

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We consider the influence of optical and temperature-dependent atomic fluctuations on the formation and propagation of optical vortex solitons in dense media realized as hollow-core optical fibers filled with a cold atomic gas in presence of optical pumping. We show different perturbation-induced scenaria of complete destruction and smooth transformation of the topological characteristics of localized optical patterns in hollow-core fiber. The maximum levels of optical and atomic fluctuations at which the soliton regime can be maintained has been determined. The estimates for these levels show that it is possible to observe the optical vortex solitions in the core-filling gas of the fiber for temperatures smaller than the critical temperature of Bose-Einstein condensate.

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Section: Variational Approach and Numerical Simulation For Vortex Sol...mentioning

confidence: 97%

Noise-induced topological transformations of vortex solitons in optical fibers filled with a cold atomic gas

Prokhorov,

Gladush,

Gubin

et al. 2013

Preprint

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“…Electromagnetic solitons can appear in dense n-doped InSb semiconductor plasma due to pseudorelativistic nonlinear effects [24][25][26], but the above research does not consider the quantum effects on electro magnetic solitons. Accordingly, the influence of the combi nation of pseudorelativity and quantum effects on solitons is investigated in narrow-gap semiconductors in this paper.…”

Section: Introductionmentioning

confidence: 99%

Pseudorelativistic effects on solitons in quantum semiconductor plasma

Wang

Jiang

2015

Phys. Rev. E

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A theory for nonlinear excitations in quantum plasmas is presented for narrow-gap semiconductors by considering the combined effects of quantum and pseudorelativity. The system is governed by a coupled Klein-Gordon equation for the collective wave functions of the conduction electrons and Poisson's equation for the electrostatic potential. This gives a closed system, including the effects of charge separation, quantum tunneling, and pseudorelativity. By choosing the typical parameters of semiconductor InSb, the quasistationary soliton solution, which is a multipeaked dark soliton, is obtained numerically and shows depleted electron densities correlated with a localized potential. The dynamical simulation result shows that the dark soliton is stable and has a multipeaked profile, which is consistent with the quasistationary solution. The present model and results may be useful in understanding the nonlinear properties of semiconductor plasma on an ultrafast time scale.

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“…Ref. [27]. In these plots, the vertical borders of the stability regions on the lefthand side correspond to the existence condition of solution (11), i.e., ε > 3µR 2 0 δ (S + 1) −1 .…”

Section: Introductionmentioning

confidence: 99%

Stable topological modes in two-dimensional Ginzburg-Landau models with trapping potentials

et al. 2010

Self Cite

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Complex Ginzburg-Landau (CGL) models of laser media (with the cubic-quintic nonlinearity) do not contain an effective diffusion term, which makes all vortex solitons unstable in these models.Recently, it has been demonstrated that the addition of a two-dimensional periodic potential, which may be induced by a transverse grating in the laser cavity, to the CGL equation stabilizes compound (four-peak) vortices, but the most fundamental "crater-shaped" vortices (CSVs), alias vortex rings, which are, essentially, squeezed into a single cell of the potential, have not been found before in a stable form. In this work we report families of stable compact CSVs with vorticity S = 1 in the CGL model with the external potential of two different types: an axisymmetric parabolic trap, and the periodic potential. In both cases, we identify stability region for the CSVs and for the fundamental solitons (S = 0). Those CSVs which are unstable in the axisymmetric potential break up into robust dipoles. All the vortices with S = 2 are unstable, splitting into tripoles. Stability regions for the dipoles and tripoles are identified too. The periodic potential cannot stabilize CSVs with S ≥ 2 either; instead, families of stable compact square-shaped quadrupoles are found.

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Filamentation and coalescence of singular optical pulses in narrow-gap semiconductors and modeling of self-organization of vortex solitons using two-photon absorption

Cited by 10 publications

References 37 publications

Noise-induced topological transformations of vortex solitons in optical fibers filled with a cold atomic gas

Noise-induced topological transformations of vortex solitons in optical fibers filled with a cold atomic gas

Pseudorelativistic effects on solitons in quantum semiconductor plasma

Stable topological modes in two-dimensional Ginzburg-Landau models with trapping potentials

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