Dynamics of dark-bright vector solitons in Bose-Einstein condensates

Alotaibi, M. O. D.; Carr, Lincoln D.

doi:10.1103/physreva.96.013601

Cited by 31 publications

(23 citation statements)

References 36 publications

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“…This soliton energy form has been successfully applied to numerous studies of dark soliton dynamics in external potentials, yielding good agreement with experiments [11][12][13][14][15][16][22][23][24]; see also the pertinent two-component generalization to the dark-bright soliton [25][26][27][28][29][30]. The energy is also a key element for more exotic topics such as the negative mass of the dark soliton [17][18][19].…”

Section: Model and Methodssupporting

confidence: 58%

A direct derivation of the dark soliton excitation energy

Zhao,

Qin,

Wang

et al. 2019

Preprint

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Dark solitons are common topological excitations in a wide array of nonlinear waves. The dark soliton excitation energy, crucial for exploring dark soliton dynamics, is necessarily calculated in a renormalized form due to its existence on a finite background. Despite its tremendous importance and success, the renormalized energy form was firstly only suggested with no detailed derivation, and was then "derived" in the grand canonical ensemble. In this work, we revisit this fundamental problem and provide an alternative and intuitive derivation of the energy form from the fundamental field energy by utilizing a limiting procedure that conserves number of particles. Our derivation yields the same result, putting therefore the dark soliton energy form on a solid basis.

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Section: Model and Methodssupporting

confidence: 58%

A direct derivation of the dark soliton excitation energy

Zhao,

Qin,

Wang

et al. 2019

Preprint

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“…(17), is not valid beyond this maximum velocity. Note that for η → 1,ẋ max 0 → 0, N 2 → N 1 from below, and the dark-bright soliton ceases to exist, as shown in [15]. In Fig.…”

Section: Dark-bright Soliton Velocitymentioning

confidence: 77%

Scattering of a dark–bright soliton by an impurity

Alotaibi

Carr

2019

J. Phys. B: At. Mol. Opt. Phys.

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We study the dynamics of a dark-bright soliton interacting with a fixed impurity using a mean-field approach. The system is described by a vector nonlinear Schrodinger equation (NLSE) appropriate to multicomponent Bose-Einstein condensates. We use the variational approximation, based on hyperbolic functions, where we have the center of mass of the two components to describe the propagation of the dark and bright components independently. Therefore, it allows the dark-bright soliton to oscillate. The fixed local impurity is modeled by a delta function. Also, we use perturbation methods to derive the equations of motion for the center of mass of the two components. The interaction of the dark-bright soliton with a delta function potential excites different modes in the system. The analytical model capture two of these modes: the relative oscillation between the two components and the oscillation in the widths. The numerical simulations show additional internal modes play an important role in the interaction problem. The excitation of internal modes corresponds to inelastic scattering. In addition, we calculate the maximum velocity for a dark-bright soliton and find it is limited to a value below the sound speed, depending on the relative number of atoms present in the bright soliton component and excavated by the dark soliton component, respectively. Above a critical value of the maximum velocity, the two components are no longer described by one center of mass variable and develop internal oscillations, eventually breaking apart when pushed to higher velocities. This effect limits the incident kinetic energy in scattering studies and presents a smoking gun experimental signal. arXiv:1804.10339v2 [cond-mat.quant-gas]

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“…The parameter w denotes the width of spin soliton, v is the soliton's velocity. For D-B-BSS, the limitation on moving speed is given by Recently, many variation methods were developed to derive the analytical soliton in BEC with different nonlinear interaction strength [48][49][50]. Numerical simulations were also used to investigate dynamics of soliton in nonintegrable cases [51][52][53].…”

Section: Three-component Bose-einstein Condensate System and Spin Sol...mentioning

confidence: 99%

Spin Solitons in Spin-1 Bose-Einstein Condensates

Meng¹,

Qin²,

Zhao³

2019

Preprint

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Solitons in multi-component Bose-Einstein condensates have been paid much attention, due to the stability and wide applications of them. The exact soliton solutions are usually obtained for integrable models. In this paper, we present four families of exact spin soliton solutions for nonintegrable cases in spin-1 Bose-Einstein Condensates. The whole particle density is uniform for the spin solitons, which is in sharp contrast to the previously reported solitons of integrable models. The spectrum stability analysis and numerical simulation indicate the spin solitons can exist stably. The spin density redistribution happens during the collision process, which depends on the relative phase and relative velocity between spin solitons. The non-integrable properties of the systems can bring spin solitons experience weak amplitude and location oscillations after collision. These stable spin soliton excitations could be used to study the negative inertial mass of solitons, the dynamics of soliton-impurity systems, and the spin dynamics in Bose-Einstein condensates.

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Dynamics of dark-bright vector solitons in Bose-Einstein condensates

Cited by 31 publications

References 36 publications

A direct derivation of the dark soliton excitation energy

A direct derivation of the dark soliton excitation energy

Scattering of a dark–bright soliton by an impurity

Spin Solitons in Spin-1 Bose-Einstein Condensates

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