Collision Dynamics of Dissipative Matter-Wave Solitons in a Perturbed Optical Lattice

Zhou, Zheng; Zhong, Honghua; Zhu, Bo; Xiao, Faxin; Zhu, Ke; Tan, Jintao

doi:10.1088/0256-307x/33/11/110301

Cited by 6 publications

(5 citation statements)

References 33 publications

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“…( 1) has violated the Galilean invariant, which means that the dynamic of bright solitons may occur with anisotropic diffusion behavior (see below). When the SOC is turned on, the dynamic properties are significantly different from those in the absence of a spin-orbit coupling system, [33] where fundamental properties of solitons can be maintained for different moving velocities. The coupled nonlinear Eq.…”

Section: The Dynamics Of Bright Solitons For Different Velocitymentioning

confidence: 99%

Two types of ground-state bright solitons in a coupled harmonically trapped pseudo-spin polarization Bose–Einstein condensate

2018

Chinese Phys. B

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We study two types of bright solitons in an attractive Bose-Einstein condensate with a spin-orbit interaction. By solving the coupled nonlinear Schrödinger equations with the variational method and the imaginary time evolution method, fundamental properties of solitons are carefully investigated in different parameter regimes. It is shown that the detuning between the Raman beam and energy states of the atoms dominates the ground state type and spin polarization strength. The soliton dynamics is also studied for various moving velocities for zero and nonzero detuning cases. We find that the shape of individual component solitons can be maintained when the moving speed of solitons is low and the detuning is small in the coupled harmonically trapped pseudo-spin polarization Bose-Einstein condensate.

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Section: The Dynamics Of Bright Solitons For Different Velocitymentioning

confidence: 99%

Two types of ground-state bright solitons in a coupled harmonically trapped pseudo-spin polarization Bose–Einstein condensate

2018

Chinese Phys. B

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“…( 1) indicates that the Hamiltonian of SOC-BEC has violated Galilean-invariant. The dynamic properties are significantly different from those in the absence of spin-orbit coupling system, [35] where the shape, height, and peaks of solitons can be held in different velocities. In the literature, [36] a little amplified bright or dark solitons can slightly change their shapes according to different velocities of solitons by the lack of Galilean invariance.…”

Section: The Dynamics Of Bright Solitons For Different Velocitiesmentioning

confidence: 79%

Moving bright solitons in a pseudo-spin polarization Bose–Einstein condensate

Xu¹,

Zhang²,

et al. 2017

Chinese Phys. B

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We study the moving bright solitons in the weak attractive Bose-Einstein condensate with a spin-orbit interaction. By solving the coupled nonlinear Schrödinger equation with the variational method and the imaginary time evolution method, two kinds of solitons (plane wave soliton and stripe solitons) are found in different parameter regions. It is shown that the soliton speed dominates its structure. The detuning between the Raman beam and energy states of the atoms decides the spin polarization strength of the system. The soliton dynamics is also studied for various moving speed and we find that the shape of individual components can be kept when the speed of soliton is low.

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“…Numerous studies have shown that BECs trapped in an optical lattice provide an ideal and clean platform for studying the nonlinear modes and their dynamics. In the optical lattice, various types of matter-wave solitons were investigated both numerically and analytically [64][65][66][67][68][69][70][71][72][73][74][75][76][77][78]. A potentially interesting research direction is to study QDs in a lattice.…”

Section: Introductionmentioning

confidence: 99%

Quantum droplets in two-dimensional optical lattices

Zheng

Chen

Huang

et al. 2020

Preprint

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We study the stability of zero-vorticity and vortex lattice quantum droplets (LQDs), which are described by a two-dimensional (2D) Gross-Pitaevskii (GP) equation with a periodic potential and Lee-Huang-Yang (LHY) term. The LQDs are divided in two types: onsite-centered and offsitecentered LQDs, the centers of which are located at the minimum and the maximum of the potential, respectively. The stability areas of these two types of LQDs with different number of sites for zerovorticity and vorticity with S = 1 are given. We found that the µ − N relationship of the stable LQDs with a fixed number of sites can violate the Vakhitov-Kolokolov (VK) criterion, which is a necessary stability condition for nonlinear modes with an attractive interaction. Moreover, the µ−N relationship shows that two types of vortex LQDs with the same number of sites are degenerated, while the zero-vorticity LQDs are not degenerated. It is worth mentioning that the offsite-centered LQDs with zero-vorticity and vortex LQDs with S = 1 are heterogeneous.

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Collision Dynamics of Dissipative Matter-Wave Solitons in a Perturbed Optical Lattice

Cited by 6 publications

References 33 publications

Two types of ground-state bright solitons in a coupled harmonically trapped pseudo-spin polarization Bose–Einstein condensate

Two types of ground-state bright solitons in a coupled harmonically trapped pseudo-spin polarization Bose–Einstein condensate

Moving bright solitons in a pseudo-spin polarization Bose–Einstein condensate

Quantum droplets in two-dimensional optical lattices

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