Observation of a kink soliton on the surface of a liquid

Denardo, Bruce; Wright, William; Putterman, Seth; Larraza, Andrés

doi:10.1103/physrevlett.64.1518

Cited by 97 publications

(61 citation statements)

References 7 publications

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“…Importantly, apart from the relevant theoretical work, there exist many experimental results, including the observation of optical dark solitons, either as temporal pulses propagating in optical fibers [1], or as spatial structures in bulk media and waveguides [2] (see also [3] for a review), the excitation of a non-propagating kink in a parametrically driven shallow liquid [4], dark-soliton standing waves in a discrete mechanical system [5], high-frequency dark solitons in thin magnetic films [6], etc.…”

Section: Introductionmentioning

confidence: 99%

Dark soliton dynamics in spatially inhomogeneous media: Application to Bose–Einstein condensates

Theocharis

Frantzeskakis

Kevrekidis

et al. 2005

Mathematics and Computers in Simulation

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We study the dynamics of dark solitons in spatially inhomogeneous media with applications to cigar-shaped Bose-Einstein condensates trapped in a harmonic magnetic potential and a periodic potential representing an optical lattice. We distinguish and systematically investigate the cases with the optical lattice period being smaller, larger, or comparable to the width of the dark soliton. Analytical results, based on perturbation techniques, for the motion of the dark soliton are obtained and compared to direct numerical simulations. Radiation effects are also considered. Finally, we demonstrate that a moving optical lattice may capture and drag a dark soliton.

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Section: Introductionmentioning

confidence: 99%

Dark soliton dynamics in spatially inhomogeneous media: Application to Bose–Einstein condensates

Theocharis

Frantzeskakis

Kevrekidis

et al. 2005

Mathematics and Computers in Simulation

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“…Pacs: 05.45.-a, 42.65.Sf, 47.54.+r During the last years localized structures have been observed in different fields, such as domains in magnetic materials [1], chiral bubbles in liquid crystals [2], current filaments in gas discharge experiments [3], spots in chemical reactions [4], pulses [5], kinks [6] and localized 2D states [7] in fluid surface waves, oscillons in granular media [8], isolated states in thermal convection [9,10], solitary waves in nonlinear optics [11,12,13] and cavity solitons in lasers [14]. Localized states are patterns which extend only over a small portion of a spatially extended and homogeneous system [15].…”

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confidence: 99%

Bouncing localized structures in a liquid-crystal light-valve experiment

Clerc

Petrossian²,

Residori³

2005

Phys. Rev. E

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Experimental evidence of bouncing localized structures in a nonlinear optical system is reported. Oscillations in the position of the localized states are described by a consistent amplitude equation, which we call the Lifshitz normal form equation, in analogy with phase transitions. Localized structures are shown to arise close to the Lifshtiz point, where non-variational terms drive the dynamics into complex and oscillatory behaviors. [11,12,13] and cavity solitons in lasers [14]. Localized states are patterns which extend only over a small portion of a spatially extended and homogeneous system [15]. Different mechanisms leading to stable localization have been proposed [16]. Among these, two main classes of localized structures have to be distinguished, namely those localized structures arising as solutions of a quintic Swift-Hohenberg like equation [16] and those that are stabilized by nonvariational terms in the subcritical Ginzburg-Landau equation [17]. The main difference between the two cases is that the first-type localized structures have a characteristic size which is fixed by the pinning mechanism over the underlying pattern or by spatial damped oscillations between homogenous states [16,18], whereas the second-type ones have no intrinsic spatial length, their size being selected by non-variational effects and going to infinity when dissipation goes to zero. In both cases, non-variational effects may lead to dynamical behaviors of localized structures [19]. Variational models based on a generalized Swift-Hohenberg equation have been proposed to describe the appearance of localized structures in nonlinear optics [20]. However, a generalization including non-variational terms is generically expected to apply even in optics, as happens, for instance, in semiconductor laser instabilities [21], giving rise to dynamical behaviors of localized structures, such as propagation and oscillations of their positions [22]. PacsWe report here an experimental evidence of localized structures dynamics in a Liquid-Crystal-Light-Valve (LCLV) with optical feedback. It is already known that, in the simultaneous presence of bistability and pattern forming diffractive feedback, the LCLV system shows localized structures [12,23,24,25]. Recently, rotation of localized structures along concentric rings have been reported in the case of a rotation angle introduced in the feedback loop [26]. Here, we fix a zero rotation angle and we show a new dynamical behavior, the bouncing of two adjacent localized structures, that is not related to imposed boundary conditions but is instead a direct consequence of the non-variational character of the system under study. Theoretically, we show that the LCLV system has several branches of bistability connecting an homogeneous state to a patterned one and we derive an amplitude equation accounting for the appearance of localized structures. This is a one-dimensional model, that we call the Lifshitz normal form equation [22], characterizing the dynamics of localized structures close to each po...

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“…Another important family of macroscopic structures in BECs with potential applications in quantum information are the so-called dark-solitons (DS). They consist of arXiv:1701.07903v1 [cond-mat.quant-gas] 26 Jan 2017 nonlinear localized depressions in a quasi-1D BEC that emerge due to a precise balance between the dispersive and nonlinear effects in the system [33][34][35][36], being also ubiquitous in nonlinear optics [37], shallow liquids [38], magnetic films [39]. Quasi one-dimensional BECs with repulsive interatomic interaction are prone to inception of dark solitons by various methods, like imprinting spatial phase distribution [35], inducing density defects in BEC [40], and by collision of two condensates [41,42].…”

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confidence: 99%

Quantum dark solitons as qubits in Bose-Einstein condensates

2017

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We study the possibility of using dark-solitons in quasi one dimensional Bose-Einstein condensates to produce two-level systems (qubits) by exploiting the intrinsic nonlinear and the coherent nature of the matter waves. We calculate the soliton spectrum and the conditions for a qubit to exist. We also compute the coupling between the phonons and the solitons and investigate the emission rate of the qubit in that case. Remarkably, the qubit lifetime is estimated to be of the order of a few seconds, being only limited by the dark-soliton "death" due to quantum evaporation.

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Observation of a kink soliton on the surface of a liquid

Abstract: When a long channel of shallow liquid is driven parametrically, there can occur a 180' kink in the

Cited by 97 publications

References 7 publications

Dark soliton dynamics in spatially inhomogeneous media: Application to Bose–Einstein condensates

Dark soliton dynamics in spatially inhomogeneous media: Application to Bose–Einstein condensates

Bouncing localized structures in a liquid-crystal light-valve experiment

Quantum dark solitons as qubits in Bose-Einstein condensates

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