Fundamental modes in waveguide pipe twisted by saturated double-well potential

Chen, Guihua; Wang, Hongcheng; Chen, Zhaopin; Liu, Yan

doi:10.1007/s11467-016-0601-6

Cited by 5 publications

(2 citation statements)

References 70 publications

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“…With a periodical boundary condition, the moving velocity changes to a rotational angular velocity. The SSB in the DWP system with a toroidal trap depends on the magnitude of the rotational velocity [88].…”

Section: B Moving Reference Framementioning

confidence: 99%

Symmetry breaking of a matter-wave soliton in a double-well potential formed by spatially confined spin-orbit coupling

Chen

Zheng

et al. 2020

Chaos, Solitons & Fractals

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We consider the symmetry breaking of a matter-wave soliton formed by spinor Bose-Einstein condensates (BECs) illuminated by a two-spot laser beam. This laser beam introduces spin-orbit (SO) coupling in the BECs such that the SO coupling produces an effect similar to a linear doublewell potential (DWP). It is well known that symmetry breaking in a DWP is an important effect and has been discussed in many kinds of systems. However, it has not yet been discussed in a DWP formed by SO coupling. The objective of this work is to study the symmetry breaking of spinor BECs trapped by a DWP formed by SO coupling. We find that two kinds of symmetry breaking, displacement symmetry breaking and bimodal symmetry breaking, can be obtained in this model. The influence of the symmetry transition is systematically discussed by controlling the interaction strength of the BECs and the distance between the center of the two spots. Moreover, because SO coupling violates Galilean invariance, the influence of symmetry breaking in the moving system is also addressed in this paper. PACS numbers: 03.75.Lm, 05.45.Yv I. INTRODUCTIONMatter-wave solitons have become an interesting subject of research due to their potential applications in various fields, such as atomic interferometry, quantum information processing, and atomic lasers [1]. Experimental research on a self-trapping soliton in Bose-Einstein condensates (BECs) began with the creation of a dark soliton, followed by bright soliton and bright soliton trains [2][3][4][5]. Many studies have shown that a cold-atom BEC is an excellent system for studying solitons [6][7][8][9][10]. In particular, a stable bright soliton has already been shown to improve the performance of a Mach-Zehnder interferometer compared to regular BECs [11]. Thus, the creation of stable soliton has become a fascinating area of research.Recently, the Gross-Pitaevskii equation (GPE) with the LHY correction term has been proven to be a good mechanism to generate stable quantum droplets , and the GP equation with long-range dipole-dipole interactions can also create stable matter-wave solitons in BECs [35][36][37][38][39]. With the help of spin-orbit (SO) coupling, absolutely stable (ground-state) and metastable matter-wave solitons in 2D and 3D free space have been reported [40][41][42][43][44][45][46][47][48][49]. Moreover, stable excited state solitons [50-54], gap solitons [55,56], and solitons with novel vortices [57][58][59][60][61][62] have been reported to be created by SO coupling [63,64], and similar configurations have also been realized in an optical system [65][66][67][68][69]. However, previous studies on 2D and 3D solitons in BECs with SO coupling tacitly assumed that the SO couplings were a homogeneous effect in the entire space. Recently, by using an external laser beam of a finite width, it was shown that one can implement spatially confined SO coupling, i.e., an SO coupling defect, in spinor BECs in 1D [70] and 2D [71] space. It is interesting to find that solitons are trapped and caught by the SO co...

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Section: B Moving Reference Framementioning

confidence: 99%

Symmetry breaking of a matter-wave soliton in a double-well potential formed by spatially confined spin-orbit coupling

Chen

Zheng

et al. 2020

Chaos, Solitons & Fractals

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“…We find that a stable quasi-2D solitary mode does exist under this circumstance. To clarify this mechanism, another objective of this work is to identify all of the solitary modes that exist in the first rotational Brillouin zone (FRBZ) [30][31][32][33][34][35], from which all solitary modes are boosted out. Three generic solitary modes are found in this zone: one belongs to the zero-harmonic (0H), and the other two belong to the first-harmonic (1H).…”

Section: Introductionmentioning

confidence: 99%

Spatiotemporal solitary modes in a twisted cylinder waveguide shell with the self-focusing Kerr nonlinearity

Huang

Lyu

Xie

et al. 2019

Communications in Nonlinear Science and Numerical Simulation

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We study the spatiotemporal solitary modes that propagate in a hollow twisted cylinder waveguide pipe with a self-focusing Kerr nonlinearity. Three generic solitary modes, one belonging to the zero-harmonic (0H) and the other two belonging to the first-harmonic (1H), are found in the first rotational Brillouin zone. The 0H solitary modes can be termed as a quasi-1D (one-dimensional) temporal soliton. Their characteristics depend only on the energy flow. The 1H solitary mode can be termed a quasi-2D (two-dimensional) bullet, whose width is much narrower than the angular domain of the waveguide. In contrast to the 0H mode, the characteristics of the 1H solitary mode depend on both their energy flow and the rotating speed of the waveguide. We demonstrate numerically that the 1H solitary modes are stable when their energy flow is smaller than the threshold norm of the Townes soliton. The boundaries of the bistable area for these two types of solitary modes are predicted by the analyses via two-mode approximation. This prediction is in accordance with the numerical findings. We also demonstrate analytically that the 1H solitary mode of this system can be applied to emulate the nonlinear dynamics of solitary modes with 1D Rashba spin-orbit (SO) coupling by optics. Two degenerated states of the 1H solitary mode, semi-dipole and mixed mode, are found from this setting via the mechanism of SO coupling. Collisions between the pair of these two types of solitary modes are also discussed in the paper. The pair of the 0H solitary mode features only the elastic collision, whereas the pair of 1H solitary modes can feature both elastic and inelastic collision when the total energy flow of the two modes are smaller or close to the threshold norm of the Townes soliton. * Electronic address:

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Kink-like breathers in Bose-Einstein condensates with helicoidal spin-orbit coupling

et al. 2021

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Fundamental modes in waveguide pipe twisted by saturated double-well potential

Cited by 5 publications

References 70 publications

Symmetry breaking of a matter-wave soliton in a double-well potential formed by spatially confined spin-orbit coupling

Symmetry breaking of a matter-wave soliton in a double-well potential formed by spatially confined spin-orbit coupling

Spatiotemporal solitary modes in a twisted cylinder waveguide shell with the self-focusing Kerr nonlinearity

Kink-like breathers in Bose-Einstein condensates with helicoidal spin-orbit coupling

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