Generation of matter waves in Bose-Bose mixtures with helicoidal spin-orbit coupling

Tabi, Conrad Bertrand; Veni, S. Saravana; Kofané, Timoléon Crépin

doi:10.1103/physreva.104.033325

Cited by 25 publications

(4 citation statements)

References 74 publications

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“…In particular, the MI of spatially uniform states, which is the central issue of the analytical consideration presented in this section, was analyzed, in the framework of the latter model, in Refs. [55][56][57].…”

Section: The Theoretical Modelmentioning

confidence: 99%

Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions

Dong

Fan

2023

Chaos, Solitons & Fractals

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Section: The Theoretical Modelmentioning

confidence: 99%

Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions

Dong

Fan

2023

Chaos, Solitons & Fractals

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“…Rogue waves exist not only in ocean but also in various other fields, such as optics, superfluids, BoseEinstein condensates and so on. In the field of applied mathematics and nonlinear science, nonlinear Schrödinger (NLS) equations has received huge attention by theoretical and experimental physicists due to its potential applications in nonlinear optics [1][2][3][4][5], Bose-Einstein condensates (BEC) [6][7][8][9], plasma physics [10][11][12][13] and interaction of solitons in fiber optic communication [14]. In the physics of classical soliton, spectral parameter associated with inverse scattering transform (IST) of nonlinear evolution equation is not varying with time.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation on nonautonomous optical rogue waves and Modulation Instability analysis for a nonautonomous system

Saravana Veni,

Mani Rajan,

Bertrand Tabi

et al. 2024

Phys. Scr.

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In this paper, we report existence of optical rogue waves in the focussing non - autonomousnonlinear Schr ̈odinger equation (NLSE) through numerical studies of modulation instability (MI).The dynamics of non-autonomous rogue waves discussed and its associated modulation instabilitythrough linear stability analysis taken place followed by pulse splitting behaviour due to non -autonomous coefficient. We prove that the excitation of rogue waves with certain conditions in thebase band modulation instability regime. The above analysis of complex dynamics in terms of MIprocesses has allowed to experiments to excite the nonlinear superposition of rogue wave solutionsusing a modulated plane wave optical field injected into optical fiber which offer the evidence forexcitation of nonautonomous rogue waves in an inhomogeneous nonlinear medium. It is identifiedfrom the results frequency modulation on a wavefield induces modulation instability as a result ofrogue waves. We analyze the dependence of parameters coefficient of group velocity dispersion(GVD)and nonlinearity (α(z)) and non - autonomous coefficient (β(z)) and the instability of rogue waves.Our work suggests that the presence of non-autonomous coefficients can have a significant impacton the emergence of extreme events, particularly in relation to their self - steepening nature.

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“…of pulses or a periodic self-focused beam. Initially identified in fluid mechanics [2][3][4][5] and plasma physics [6][7][8], MI has been reported in other physics settings, including nonlinear optics [9][10][11][12], atomic Bose-Einstein condensates [13][14][15][16][17], and molecular structure [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Nonlocal cubic and quintic nonlinear wave patterns in pure-quartic media

Tiofack

Tabi

Tagwo

et al. 2023

J. Opt.

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In this work, pure-quartic soliton formation is investigated in the framework of a nonlinear Schrödinger equation with competing Kerr (cubic) and non-Kerr (quintic) nonlocal nonlinearities and quartic dispersion. In the process, the modulational instability (MI) phenomenon is activated under a suitable balance between the nonlocal nonlinearities and the quartic dispersion, both for exponential and rectangular nonlocal nonlinear responses. Interestingly, the maximum MI growth rate and bandwidth are reduced or can completely be suppressed for some specific values of the cubic and quintic nonlocality parameters, depending on the type of nonlocal response. The analytical results are confirmed via direct numerical simulations, where the instability supports the signature of pure-quartic dark and bright solitons. These results may provide a better understanding of pure-quartic solitonic structures for their potential applications in the next generation of nonlinear optical devices.

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Generation of matter waves in Bose-Bose mixtures with helicoidal spin-orbit coupling

Cited by 25 publications

References 74 publications

Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions

Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions

Numerical investigation on nonautonomous optical rogue waves and Modulation Instability analysis for a nonautonomous system

Nonlocal cubic and quintic nonlinear wave patterns in pure-quartic media

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