Modulational instability of Bose-Einstein condensates with helicoidal spin-orbit coupling

Li, Xiao-Xun; Cheng, Rui-Jin; Zhang, Aixia; Xue, Ju-Kui

doi:10.1103/physreve.100.032220

Cited by 21 publications

(6 citation statements)

References 35 publications

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“…Observing the same effect at nearly opposite ends of spatial and timescales of MI in physics is a convincing argument confirming the validity of the finding. It means that similar phenomena at other scales such as MI in plasma (39) or in Bose-Einstein condensate (40) must also be reexamined. In optics, the extension of the range of frequencies leading to MI might have multiple applications for generating frequency combs (41), periodic pulse trains (42), and supercontinuum radiation (43).…”

Section: Significancementioning

confidence: 99%

“Extraordinary” modulation instability in optics and hydrodynamics

Vanderhaegen

Naveau

Szriftgiser

et al. 2021

Proc. Natl. Acad. Sci. U.S.A.

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The classical theory of modulation instability (MI) attributed to Bespalov–Talanov in optics and Benjamin–Feir for water waves is just a linear approximation of nonlinear effects and has limitations that have been corrected using the exact weakly nonlinear theory of wave propagation. We report results of experiments in both optics and hydrodynamics, which are in excellent agreement with nonlinear theory. These observations clearly demonstrate that MI has a wider band of unstable frequencies than predicted by the linear stability analysis. The range of areas where the nonlinear theory of MI can be applied is actually much larger than considered here.

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Section: Significancementioning

confidence: 99%

“Extraordinary” modulation instability in optics and hydrodynamics

Vanderhaegen

Naveau

Szriftgiser

et al. 2021

Proc. Natl. Acad. Sci. U.S.A.

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“…The study of solitons as solutions of coupled NLS equations have attracted lots of consideration these recent years, this because they appear in a broad range of physical settings and finds applications, for example, in biophysics [50,51], plasma physics [42], coupled electromagnetic waves [52], electrical lattices [53][54][55][56] and Bose-Einstein Condensates [57], just to name a few. Usually, when the appropriate asymptotic method is applied to such generic models, the coefficients of the coupled NLS equations depend on system parameters, as it is the case for m 1 , m 2 and m 3 in the system under study.…”

Section: The Coupled Nls Equationsmentioning

confidence: 99%

Modulational instability of coupled waves in electronegative plasmas

Tabi

Panguetna²,

Motsumi

et al. 2020

Phys. Scr.

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The dynamics of coupled ion-acoustic waves is investigated in an electronegative plasma made of Boltzmann negative ions, cold mobile positive ions and Boltzmann electrons. Using the reductive perturbation method, it is shown that the system can fully be described by a set of two coupled nonlinear Schrödinger equations. The parametric analysis of modulational instability reveals the existence of regions of instability that are sensitive to changes in plasma parameters such as the negative ion concentration ratio and the electron-to-negative ion temperature ratio. The analytical results are confronted to numerical simulations, where we examine the long-time dynamics of modulated waves in the electronegative plasma. One obtains the generation of nonlinear modulated waves that are sensitive to the negative-ion concentration ratio. Exact solutions for individual modes are discussed and one finally derives the coupled solution. The response of the latter to the plasma parameter variations is also addressed.

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“…Static gauge fields which impose spin-orbit coupling make condensates still more vulnerable to MI [47,48]. Further, helicoidal gauge potentials break the MI symmetry and thus strongly modify patterns of instability regions and gain in the underlying parameter space [49]. In this connection, we investigate the effect of density-dependent gauge potentials on the MI and subsequent generation of solitons.…”

Section: Introductionmentioning

confidence: 99%

Modulational instability and soliton generation in chiral Bose-Einstein condensates with zero-energy nonlinearity

Bhat,

Sivaprakasam,

Malomed

2021

Preprint

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By means of analytical and numerical methods, we address the modulational instability (MI) in chiral condensates governed by the Gross-Pitaevskii equation including the current nonlinearity. The analysis shows that this nonlinearity partly suppresses off the MI driven by the cubic self-focusing, although the current nonlinearity is not represented in the system's energy (although it modifies the momentum), hence it may be considered as zero-energy nonlinearity. Direct simulations demonstrate generation of trains of stochastically interacting chiral solitons by MI. In the ring-shaped setup, the MI creates a single traveling solitary wave. The sign of the current nonlinearity determines the direction of propagation of the emerging solitons.

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Modulational instability of Bose-Einstein condensates with helicoidal spin-orbit coupling

Cited by 21 publications

References 35 publications

“Extraordinary” modulation instability in optics and hydrodynamics

“Extraordinary” modulation instability in optics and hydrodynamics

Modulational instability of coupled waves in electronegative plasmas

Modulational instability and soliton generation in chiral Bose-Einstein condensates with zero-energy nonlinearity

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