Nonlinear solitonic analogues of coherent and squeezed states: Graded-index fiber solitons and breathing spherically symmetric BEC clouds

Serkin, V. N.; Belyaeva, T. L.

doi:10.1016/j.ijleo.2018.09.059

Cited by 20 publications

(4 citation statements)

References 79 publications

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“…Under the assumption of cylindrical symmetry and zero vorticity, the transverse Laplacian in Eq. 4 5, (6), and (10) below]. Figure 1 demonstrates the proposed implementation of the general principle of DKLM in a fiber laser.…”

Section: Approaches and Methodsmentioning

confidence: 99%

“…The endeavor of multidimensional pattern formation [1] bridges nonlinear wave collapse and turbulence phenomena [2], leading to the formation of highly coherent structures, such as solitons in nonlinear optics (the so-called "light bullets") and liquid crystals, Bose-Einstein condensates (BEC), etc. [3][4][5][6]. These coherent and strongly localized structures could provide unprecedented energy (or mass) condensation, and lead to establish connections or analogies between microand macroscaled phenomena.…”

Section: Introductionmentioning

confidence: 99%

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Distributed Kerr-lens mode locking based on spatiotemporal dissipative solitons in multimode fiber lasers

Калашников

Wabnitz

2020

Phys. Rev. A

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We introduce a mechanism of stable spatiotemporal soliton formation in a multimode fiber laser. This is based on spatially graded dissipation, leading to distributed Kerr-lens mode locking. Our analysis involves solutions of a generalized dissipative Gross-Pitaevskii equation. This equation has a broad range of applications in nonlinear physics, including nonlinear optics, spatiotemporal pattern formation, plasma dynamics, and Bose-Einstein condensates. We demonstrate that the careful control of dissipative and nondissipative physical mechanisms results in the self-emergence of stable (2+1)-dimensional dissipative solitons. Achieving such a regime does not require the presence of any additional dissipative nonlinearities, such as a mode locker in a laser, or inelastic scattering in a Bose-Einstein condensate. Our method allows for stable energy (or "mass") harvesting by coherent localized structures, such as ultrashort laser pulses or Bose-Einstein condensates.

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Section: Approaches and Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Distributed Kerr-lens mode locking based on spatiotemporal dissipative solitons in multimode fiber lasers

Калашников

Wabnitz

2020

Phys. Rev. A

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“…The endeavor of multidimensional soliton generation in nonlinear optics (socalled "light bullets") and liquid crystals, Bose-Einstein condensates, etc., has a long history [1][2][3][4] . Such coherent and strongly localized structures could provide unprecedented energy (or mass) condensation, bridging across micro-and macro-scaled phenomena.…”

mentioning

confidence: 99%

Spatiotemporal Mode-Locking in a Fiber Laser

Калашников¹,

Wabnitz²

2020

9-Й Международный Семинар По Волоконным Лазерам: Материалы Семинара

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We introduce a spatiotemporal mode-locking mechanism in a fiber (or waveguide) laser, based on nonlinear mode-cleaning enhanced by graded dissipation. Our analysis is based on the generalized dissipative Gross-Pitaevskii equation, which has a broad impact in nonlinear physics, including nonlinear optics and Bose-Einstein condensates. We demonstrate that a careful control of dissipative and non-dissipative physical mechanisms results in the self-emergence of stable (2+1)-dimensional dissipative solitons. Achieving such a regime does not require any additional mode-locking mechanisms, and allows for stable energy (or"mass") harvesting by coherent localized structures, such as ultrashort laser pulses or Bose-Einstein condensates.

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“…External trapping potentials can in principle alter the soliton dynamics [7,24,25], causing, e.g., modulations of the soliton's tails due to residual non-autonomous terms of the 1D-GPE in a harmonic potential [26]. For the following experiments, however, we employ trap frequencies that are significantly smaller than the observed oscillation frequencies of the soliton (2ω z < ω sol ) to decouple the influence of the trapping potential.…”

mentioning

confidence: 99%

Excitation Modes of Bright Matter-Wave Solitons

et al. 2019

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We experimentally study the excitation modes of bright matter-wave solitons in a quasi-one-dimensional geometry. The solitons are created by quenching the interactions of a Bose-Einstein condensate of cesium atoms from repulsive to attractive in combination with a rapid reduction of the longitudinal confinement. A deliberate mismatch of quench parameters allows for the excitation of breathing modes of the emerging soliton and for the determination of its breathing frequency as a function of atom number and confinement. In addition, we observe signatures of higher-order solitons and the splitting of the wave packet after the quench. Our experimental results are compared to analytical predictions and to numerical simulations of the one-dimensional Gross-Pitaevskii equation.The dispersionless propagation of solitary waves is one of the most striking features of nonlinear dynamics, with multiple applications in hydrodynamics, nonlinear optics and broadband long-distance communications [1]. In fiber optics, one-dimensional (1D) "bright" solitons, i.e. solitons presenting a local electric field maximum with one-dimensional propagation, have been observed [2]. They exhibit a dispersionless flow and excitation modes such as breathing or higher-order modes [2][3][4]. Matter waves can also display solitary dispersion properties. Typically, bright matter-wave solitons are created in quasi-1D systems by quenching the particle interaction in a Bose-Einstein condensate (BEC) from repulsive to attractive [5]. Recent experiments demonstrated the collapse [6], collisions [7], reflection from a barrier [8], and the formation of trains [9-11] of bright solitons.In this letter, we experimentally study the excitation modes of a single bright matter-wave soliton. In previous studies, other dynamical properties have been observed, such as center-of-mass oscillations of solitons in an external trap [7], excitations following the collapse of attractive BECs [6,12], and quadrupole oscillations of attractive BECs in three dimensions (3D) [13]. Here, we probe the fundamental breathing mode of a single soliton by measuring its oscillation frequency and the time evolution of its density profile. In addition, we observe signatures of higher-order matter-wave solitons, which can be interpreted as stable excitations with periodic oscillations of the density profile and phase, or as a bound state of overlapping modes [3,14].The shape-preserving evolution of a matter-wave soliton is due to a balancing of dispersive and attractive terms in the underlying 3D Gross-Pitaevskii equation (GPE) [15]. For quasi-1D systems with tight radial confinement, we can approximate the matter wave in the 3D-GPE by the product of a Gaussian wave function for the radial direction and a function f (z) for the longitudinal direction (see [16]). Depending on the ansatz for the Gaussian with either constant or varying radial sizes, f (z) satisfies either the 1D-GPE or the non-polynomial Schrödinger equation (NPSE) [17]. We reference to the analytical solutions of the 1D-G...

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Nonlinear solitonic analogues of coherent and squeezed states: Graded-index fiber solitons and breathing spherically symmetric BEC clouds

Cited by 20 publications

References 79 publications

Distributed Kerr-lens mode locking based on spatiotemporal dissipative solitons in multimode fiber lasers

Distributed Kerr-lens mode locking based on spatiotemporal dissipative solitons in multimode fiber lasers

Spatiotemporal Mode-Locking in a Fiber Laser

Excitation Modes of Bright Matter-Wave Solitons

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