Propagation of Dark Stripe Beams in Nonlinear Media: Snake Instability and Creation of Optical Vortices

Мамаев, А. В.; Saffman, M.; Zozulya, A. A.

doi:10.1103/physrevlett.76.2262

Cited by 161 publications

(103 citation statements)

References 12 publications

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“…IV, dark solitons are fundamentally non-stationary excitations even without a transverse modulation, and therefore the theory of transverse instability developed in Refs. 23,25,26,[41][42][43][44][45][46][47][48][49][50][51][52][54][55][56] is not strictly applicable. Nevertheless, it is intuitively clear that transverse instability may occur and dramatically influence the process of relaxation of solitonic structures described in Sec.…”

Section: Transverse Instability Of Dark Solitonsmentioning

confidence: 99%

Dynamics and stability of dark solitons in exciton-polariton condensates

2014

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We present a comprehensive analytical theory of localized nonlinear excitations -dark solitons, supported by an incoherently pumped, spatially homogeneous exciton-polariton condensate. We show that, in contrast to dark solitons in conservative systems, these nonlinear excitations "relax" by blending with the background at a finite time, which critically depends on the parameters of the condensate. Our analytical results for trajectory and lifetime are in excellent agreement with direct numerical simulations of the open-dissipative mean-field model. In addition, we show that transverse instability of quasi-one-dimensional dark stripes in a two-dimensional open-dissipative condensate demonstrates features that are entirely absent in conservative systems, as creation of vortex-antivortex pairs competes with the soliton relaxation process.

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Section: Transverse Instability Of Dark Solitonsmentioning

confidence: 99%

Dynamics and stability of dark solitons in exciton-polariton condensates

2014

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“…The self-focusing action of the nonlinearity compensated by diffraction results in self-sustained bright spatial solitons [12], which can exist as isolated states or form complex ensembles, sometimes interacting in a particle-like fashion [169][170][171][172][173][174][175]. Also, dark solitons [176][177][178][179][180][181][182][183][184] and optical vortices [185][186][187][188][189][190][191][192][193][194][195][196] have been described and experimentally observed. In such a mirrorless configuration feedback is absent, and one obtains not a spontaneous pattern formation, but just a nonlinear transformation of the input distribution.…”

Section: Mirrorless Configurationmentioning

confidence: 99%

Transverse Patterns in Nonlinear Optical Resonators

Staliūnas

Sánchez‐Morcillo

2003

Springer Tracts in Modern Physics

174

156

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This book is devoted to the formation and dynamics of localized structures (vortices, solitons) and of extended patterns (stripes, hexagons, tilted waves) in nonlinear optical resonators such as lasers, optical parametric oscillators, and photorefractive oscillators. Theoretical analysis is performed by deriving order parameter equations, and also through numerical integration of microscopic models of the systems under investigation. Experimental observations, and possible technological implementations of transverse optical patterns are also discussed. A comparison with patterns found in other nonlinear systems, i.e. chemical, biological, and hydrodynamical systems, is given.

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“…In Case-2, as the sharp inner end spirals in, the local curvature radius of the soliton stripe becomes comparable to ξ. Snake instability then occurs [33][34][35] and a pair of positive and negative vortex points are nucleated att = 7.2. The negative vortex point peels off from the soliton while the positive one sits inside the stripe (see Fig.…”

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confidence: 99%

Flows with fractional quantum circulation in Bose-Einstein condensates induced by nontopological phase defects

2018

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It is a common view that rotational motion in a superfluid can exist only in the presence of quantized vortices. However, in our numerical studies on the merging of two concentric BoseEinstein condensates with axial symmetry in two-dimensional space, we observe the emergence of a spiral dark soliton when one condensate has a non-zero initial angular momentum. This spiral dark soliton enables the transfer of angular momentum between the condensates and allows the merged condensate to rotate even in the absence of quantized vortices. We examine the flow field around the soliton and reveal that its sharp endpoint can induce flow like a vortex point but with a fraction of a quantized circulation. This interesting nontopological "phase defect" may generate broad interests since rotational motion is essential in many quantum transport processes. The hydrodynamics of quantum fluids such as atomic Bose-Einstein condensates (BECs) and superfluid helium are strongly affected by quantum effects [1][2][3]. For instance, it is well-known that in a simply-connected quantum fluid, rotational motion can arise only through the formation of topological defects in the form of quantized vortices, each of which carries a circulation of κ = h/m, where h is Plancks constant and m is the mass of the particles that form the condensate. In BECs, quantized vortices have been nucleated by a variety of innovative methods, such as direct phase imprint [4,5], rotation of the condensate traps [6][7][8][9], stirring the BECs with laser beams [10] or moving optical obstacles [11,12], decay of dark solitons [13,14], and merging isolated condensates [15]. The last method is particularly interesting since it provides a means to test the celebrated Kibble-Zurek mechanism [16,17]. This mechanism explains the formation of vortices following a rapid second-order phase transition as due to the merging of isolated superfluid domains with random relative phases [18,19]. In addition, understanding the processes involved in the merging of isolated condensates is also important for matter wave interferometry [20][21][22][23].So far, many studies on condensate merging have focused on condensates with uniform initial phases. However, the situation is less clear when some condensates contain vortices and have non-uniform phases before merging occurs. Many interesting questions can be raised. For instance, how will the angular momentum be transferred from a rotating condensate to an initially static condensate? Can vortices form due to the veloc- * Email: wguo@magnet.fsu.edu ity gradient near the interface between condensates like that in classical shear flows? Is the angular momentum transfer always associated with vorticity transfer? To provide insights into these questions, we have studied a representative condensate configuration: the merging of a disc Bose-Einstein condensate with a concentric ring condensate in two-dimensional (2D) space, with one of them having a non-zero initial angular momentum induced by a vortex point at the center. We shall report in...

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Propagation of Dark Stripe Beams in Nonlinear Media: Snake Instability and Creation of Optical Vortices

Cited by 161 publications

References 12 publications

Dynamics and stability of dark solitons in exciton-polariton condensates

Dynamics and stability of dark solitons in exciton-polariton condensates

Transverse Patterns in Nonlinear Optical Resonators

Flows with fractional quantum circulation in Bose-Einstein condensates induced by nontopological phase defects

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