Energy-flow patterns and bifurcations of two-dimensional cavity solitons

Розанов, Н. Н.; Федоров, С. В.; Shatsev, A. N.

doi:10.1134/1.1705694

Cited by 18 publications

(15 citation statements)

References 9 publications

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“…7(a), without the trapping potential. It is a signature of the polariton BEC vortex observed in the experiments [2], and also appears as a characteristic feature of vortex states in other dissipative systems [17,22,23].…”

Section: Single Vortex Statementioning

confidence: 84%

“…Following the analysis suggested in [17] for the generalised complex Ginzburg-Landau equation, we can obtain asymptotic behaviour of amplitude and phase of the condensate wavefunction. In the absence of a trapping potential, U (r) = 0, the requirement of spatial localisation, P (r) → 0, |ψ(r)| → 0, imposed on both the pump and the condensate wave function at r → ∞ leads to the following asymptotic behaviour of the amplitude and the phase at large r:…”

Section: A Theorymentioning

confidence: 98%

“…Therefore the balance of nonlinearity and dispersion responsible for nonlinear localisation in conservative condensate systems cannot be achieved. Physically, the existence of the spatially localised steady state of the polariton condensate can be understood by examining the internal flows of the dissipative polariton superfluid, analogous to the Pointing vector flows in dissipative optical systems [17,19]. Indeed, by defining the superfluid current density (flux) in the standard way j = Im(Ψ * ∇Ψ), we can re-cast Eq.…”

Section: A Theorymentioning

confidence: 99%

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Dissipative solitons and vortices in polariton Bose-Einstein condensates

et al. 2012

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We examine spatial localisation and dynamical stability of Bose-Einstein condensates of excitonpolaritons in microcavities under the condition of off-resonant spatially inhomogeneous optical pumping both with and without a harmonic trapping potential. We employ the open-dissipative Gross-Pitaevskii model for describing an incoherently pumped polariton condensate coupled to an exciton reservoir, and reveal that spatial localisation of the steady-state condensate occurs due to the effective self-trapping created by the polariton flows supported by the spatially inhomogeneous pump, regardless of the presence of the external potential. A ground state of the polariton condensate with repulsive interactions between the quasiparticles represents a dynamically stable bright dissipative soliton. We also investigate the conditions for sustaining spatially localised structures with non-zero angular momentum in the form of single-charge vortices.

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Section: Single Vortex Statementioning

confidence: 84%

Section: A Theorymentioning

confidence: 98%

Section: A Theorymentioning

confidence: 99%

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Dissipative solitons and vortices in polariton Bose-Einstein condensates

et al. 2012

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“…Extensive and significant theoretical work on properties and dynamics of LCS in a LSA was done by Rosanov's group (Vladimirov et al (1999);Fedorov et al (2000); Rozanov et al (2004); Rosanov et al (2005)) and is reviewed in (Rosanov (2002(Rosanov ( , 2005). We don't go into detail here because some issues are reappearing in the following subsection on semiconductor devices, in Sec.…”

Section: General Theory and Early Experimentsmentioning

confidence: 99%

“…By analysis of the transverse Poynting vector, Rozanov et al (2004) have shown that energy is injected in the wings of the structure and flows inwards towards the center and outwards towards the background (see also Akhmediev and Ankiewicz (2005b) for the case of temporal LCS and Oppo et al (1999) for OPO SDS).…”

Section: General Theory and Early Experimentsmentioning

confidence: 99%

Chapter 6 Fundamentals and Applications of Spatial Dissipative Solitons in Photonic Devices

Ackemann

Firth

Oppo

2009

Advances in Atomic, Molecular, and Optical Physics

212

184

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We review the properties of optical spatial dissipative solitons (SDS). These are stable, self-localized optical excitations sitting on a uniform, or quasi-uniform, background in a dissipative environment like a nonlinear optical cavity. Indeed in optics they are often termed 'cavity solitons'. We discuss their dynamics and interactions in both ideal and imperfect systems, making comparison with experiments. SDS in lasers offer important advantages for applications. We review candidate schemes and the tremendous recent progress in semiconductor-based cavity soliton lasers. We examine SDS in periodic structures, and we show how SDS can be quantitatively related to the locking of fronts. We conclude with an assessment of potential applications of SDS in photonics, arguing that best use of their particular features is made by exploiting their mobility, e.g. in all-optical delay lines.

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Solitons in Laser Systems with Saturable Absorption

Rosanov

Dissipative Solitons

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Abstract.A review is presented of the main features of localized structuresdissipative solitons -in optical systems with nonlinear amplification and absorption, without driving (holding) radiation, including cases with and without feedback. The focus is on two-dimensional laser solitons. For the case of cylindrically-symmetric intensity distributions, there is a discrete set of such solitons with different values of topological charge and different numbers of oscillations in the radial profiles of their amplitude and phase, within certain intervals of the system parameters. Even these simplest dissipative solitons have certain internal structures that become apparent in the distribution of the radiation energy flows. For weakly-coupled solitons whose tail overlap is only small, the distribution of energy flows in the vicinity of each constituent soliton is topologically similar to the distribution for individual solitons. In addition to weakly-coupled solitons, strongly coupled states exist in parameter domains overlapping with those for symmetric solitons. Symmetric structures are motionless, while asymmetric structures move and rotate. Strongly-coupled soliton states are characterized by asymmetric multi-humped intensity distributions. Rotation occurs even in the absence of radiation wavefront dislocations. We present examples of bifurcations of the phase portrait of energy flows during the transient process of the rotating structure formation, as well as different rotating chains of localized strongly-coupled laser vortices. Under conditions of modulation instability of homogeneous field distributions, new regimes arise, including localized structures with simultaneous rotation and pulsation, and "bio-solitons" with initial growth of structure like a labyrinth, with periodic separation of the fragments; then the fragments repeat the stages of growth and separation of new generations of fragments.

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Energy-flow patterns and bifurcations of two-dimensional cavity solitons

Cited by 18 publications

References 9 publications

Dissipative solitons and vortices in polariton Bose-Einstein condensates

Dissipative solitons and vortices in polariton Bose-Einstein condensates

Chapter 6 Fundamentals and Applications of Spatial Dissipative Solitons in Photonic Devices

Solitons in Laser Systems with Saturable Absorption

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