Dark soliton oscillations in Bose–Einstein condensates with multi-body interactions

Камчатнов, А. М.; Salerno, Mario

doi:10.1088/0953-4075/42/18/185303

Cited by 25 publications

(21 citation statements)

References 34 publications

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“…that is to the Newton equation with the effective mass of the dark soliton quasiparticle equal to the doubled atomic mass as it was first discovered in [3] (see also [4,5,6]). In this Letter we show that the approach of Refs [4,5,6] can be easily generalized to multi-dimensional situations of ring or spherical solitons.…”

Section: Introductionmentioning

confidence: 97%

“…General formulae for the case of arbitrary function f (ρ) (provided that the condition of modulation stability of the background is satisfied) were derived later in Ref. [6]. It is clear that this approach is correct as long as width ∼ 1/ ρ 0 − V 2 of the soliton is much less than a characteristic length at which the background parameters change considerably so that a "collective" coordinate X(t) is a well-defined variable.…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of ring dark solitons in Bose–Einstein condensates and nonlinear optics

Камчатнов

Корнеев

2010

Physics Letters A

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Quasiparticle approach to dynamics of dark solitons is applied to the case of ring solitons. It is shown that the energy conservation law provides the effective equations of motion of ring dark solitons for general form of the nonlinear term in the generalized nonlinear Schrödinger or Gross-Pitaevskii equation. Analytical theory is illustrated by examples of dynamics of ring solitons in light beams propagating through a photorefractive medium and in non-uniform condensates confined in axially symmetric traps. Analytical results agree very well with the results of our numerical simulations.

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Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Dynamics of ring dark solitons in Bose–Einstein condensates and nonlinear optics

Камчатнов

Корнеев

2010

Physics Letters A

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“…It is remarkable that the dark soliton, a collective excitation, behaves to first order as a classical particle with negative effective mass, acting under the external potential [24,25]. For example, in harmonicallytrapped BECs, the soliton oscillates at a characteristic ratio, ω/ √ 2, of the trap frequency ω [26][27][28][29][30][31][32][33][34][35], as confirmed experimentally [15]. This robust result, insensitive to the microscopic atomic interactions, is a signature of matter-wave dark solitons.…”

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confidence: 99%

Interaction-sensitive oscillations of dark solitons in trapped dipolar condensates

et al. 2017

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Thanks to their immense purity and controllability, dipolar Bose-Einstein condensates are an examplar for studying fundamental non-local nonlinear physics. Here we show that a family of fundamental nonlinear waves -the dark solitons -are supported in trapped quasi-one-dimensional dipolar condensates and within reach of current experiments. Remarkably, the oscillation frequency of the soliton is strongly dependent on the atomic interactions, in stark contrast to the non-dipolar case. The failure of a particle analogy, so successful for dark solitons in general, to account for this behaviour implies that these structures are inherently extended and non-particle-like. These highly-sensitive waves may act as mesoscopic probes of the underyling quantum matter field.PACS numbers: 03.75. Lm,03.75.Hh,47.37.+q Dark solitons are the fundamental nonlinear excitations of one-dimensional media with defocussing nonlinearity, appearing as a travelling localized reductions in the field amplitude. Since first realized in optical fibres [1-3], they have been observed across plasmas [4,5], water [6], magnetic films [7] and atomic Bose-Einstein condensates (BECs) [8][9][10][11][12][13][14][15][16][17][18][19][20]. The latter system provides a commanding playground for exploring soliton physics in which the nonlinearity (viz. atomic interactions) can be precisely controlled in amplitude, time and space [21], and almost arbitrary potentials can be painted [22]. Experiments have studied a host of fundamental properties, including their collisions [15,16], creation [8,9,12,13,17], interaction with impurities [20], and decay [11,18]. Moreover, these "quantum canaries" are touted as sensitive probes of the mesoscale quantum physics within the quantum degenerate gas [23].It is remarkable that the dark soliton, a collective excitation, behaves to first order as a classical particle with negative effective mass, acting under the external potential [24,25]. For example, in harmonicallytrapped BECs, the soliton oscillates at a characteristic ratio, ω/ √ 2, of the trap frequency ω [26-35], as confirmed experimentally [15]. This robust result, insensitive to the microscopic atomic interactions, is a signature of matter-wave dark solitons. Here we establish the form and dynamics of these fundamental structures in trapped BECs featuring dipole-dipole atomic interactions. Remarkably, the oscillations become strongly dependent on the strength and polarization of the dipolar interactions. The dynamics cannot be accounted for within the particle analogy, implying that the dark solitons are strictly extended, non-particle-like excitations. We establish these solutions and their oscillatory behaviour, based on oneand three-dimensional mean-field models, and demonstrate that they are accessible to current experiments.The last decade has seen a surge of research on dipolar BECs,as realized through the condensation of vapours of 52 Cr [36,37], 164 Dy [38, 39] and 168 Er [40]. On top of the usual van der Waals (vdW) interatomic interactions, which are is...

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“…In the CW solutions given by Eqs. (2) with (3), one of the amplitudes, for instance, 1 A , may be chosen arbitrarily, as only three relations out of four in Eq. (3a) are independent.…”

Section: Modulation Instability Analysismentioning

confidence: 99%

Modulation Instabilities in Birefringent Two-core Optical Fibers

Chiang

Malomed

et al. 2012

Asia Communications and Photonics Conference

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Previous studies of the modulation instability (MI) of continuous waves (CWs) in a two-core fiber (TCF) did not consider effects caused by co-propagation of the two polarized modes in a TCF that possesses birefringence, such as cross-phase modulation (XPM), polarization-mode dispersion (PMD), and polarization-dependent coupling (PDC) between the cores. This paper reports an analysis of these effects on the MI by considering a linear-birefringence TCF and a circular-birefringence TCF, which feature different XPM coefficients. The analysis focuses on the MI of the asymmetric CW states in the TCFs, which have no counterparts in single-core fibers. We find that, the asymmetric CW state exists when its total power exceeds a threshold (minimum) value, which is sensitive to the value of the XPM coefficient. We consider, in particular, a class of asymmetric CW states that admit analytical solutions. In the anomalous dispersion regime, without taking the PMD and PDC into account, the MI gain spectra of the birefringent TCF, if scaled by the threshold power, are almost identical to those of the zero-birefringence TCF. However, in the normal dispersion regime, the power-scaled MI gain spectra of the birefringent TCFs are distinctly different from their zero-birefringence counterparts, and the difference is particularly significant for the circular-birefringence TCF, which takes a larger XPM coefficient. On the other hand, the PMD and PDC only exert weak effects on the MI gain spectra. We also simulate the nonlinear evolution of the MI of the CW inputs in the TCFs and obtain a good agreement with the analytical solutions.

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Dark soliton oscillations in Bose–Einstein condensates with multi-body interactions

Cited by 25 publications

References 34 publications

Dynamics of ring dark solitons in Bose–Einstein condensates and nonlinear optics

Dynamics of ring dark solitons in Bose–Einstein condensates and nonlinear optics

Interaction-sensitive oscillations of dark solitons in trapped dipolar condensates

Modulation Instabilities in Birefringent Two-core Optical Fibers

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