Two-Dimensional Vortex Solitons in Spin-Orbit-Coupled Dipolar Bose–Einstein Condensates

Pang, Wei; Deng, Haiming; Liu, Bin; Xu, Jing‐Bo; Li, Yongyao

doi:10.3390/app8101771

Cited by 10 publications

(5 citation statements)

References 82 publications

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“…The present analysis may be extended in other directions. First, a natural possibility is to consider this problem in the 2D geometry, where conditions for the soliton stability are drastically different from those in the 1D case [78]- [87]. The 2D matter-wave solitons stabilized by the SO coupling include vortex components, which suggests a possibility to consider the interaction of vortex solitons with gravity.…”

Section: Discussionmentioning

confidence: 99%

“…In the combination with the usual collision-induced nonlinearity, the SO coupling was theoretically shown to support various species of one-dimensional (1D) solitons [68]- [77]. A surprising prediction is that the interplay of the linear SO interaction and cubic self-attraction leads to stabilization of multidimensional solitons in free space, which are completely unstable in the absence of the SO terms [78]- [87].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Holding and transferring matter-wave solitons against gravity by spin–orbit-coupling tweezers

Liu¹,

Zhong²,

Chen

et al. 2020

New J. Phys.

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§ These two authors contributed equally to the workWe consider possibilities to grasp and drag one-dimensional solitons in two-component Bose-Einstein condensates (BECs), under the action of gravity, by tweezers induced by spatially confined spin-orbit (SO) coupling applied to the BEC, with the help of focused laser illumination. Solitons of two types are considered, semi-dipoles and mixed modes. We find critical values of the gravity force, up to which the solitons may be held or transferred by the tweezers. The dependence of the critical force on the magnitude and spatial extension of the localized SO interaction, as well as on the soliton's norm and speed (in the transfer regime), are systematically studied by means of numerical methods, and analytically with the help of a quasi-particle approximation for the soliton. In particular, a noteworthy finding is that the critical gravity force increases with the increase of the transfer speed (i.e., moving solitons are more robust than quiescent ones). Nonstationary regimes are addressed too, by considering abrupt application of gravity to solitons created in the weightless setting. In that case, solitons feature damped shuttle motion, provided that the gravity force does not exceed a dynamical critical value, which is smaller than its static counterpart. The results may help to design gravimeters based on ultracold atoms. * Electronic address: hhzhong115@163.com

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Holding and transferring matter-wave solitons against gravity by spin–orbit-coupling tweezers

Liu¹,

Zhong²,

Chen

et al. 2020

New J. Phys.

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“…In recent years, experiments to realize SOC-BEC in multicomponent 87 Rb condensates have stimulated a great deal of research on solitons and nonlinear waves [20,21]. A variety of matter-wave solitons exist in SOC-BEC [22], such as bright solitons [23][24][25][26], dark solitons [27,28], stripe solitons [13,29], surface solitons [30], dark-bright complex solitions [31], vortices [32,33], and vortex-antivortex dipoles [34]. Xu et al investigated interstitial solitons in SOC-BEC with a dichromatic optical lattice [22].…”

Section: Introductionmentioning

confidence: 99%

Vector gap solitons of spin-orbit-coupled Bose-Einstein condensate in square optical lattice

Wang,

Tu,

et al. 2024

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

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Vector gap solitons in quasi-two-dimensional Bose-Einstein condensate loaded in a square optical lattice with spin-orbit and Rabi coupling are investigated theoretically. The solitons are obtained by the Newton-Conjugate Gradient method for various physical parameters. The stability properties of gap solitons are theoretically analyzed by direct nonlinear dynamical evolution. It is found that the existence of gap solitons is sensitive to the spin-orbit and Rabi coupling strength. Smaller Rabi coupling strength is beneﬁcial for the excitation of solitons in the semi-inﬁnite gap. Conversely, larger Rabi coupling strength is beneﬁcial for the soliton excitation in the ﬁrst gap. The dynamical stability of these gap solitons depends on the spin-orbit and Rabi coupling strength, and the location of the soliton in the bandgap. These ﬁndings may contribute to understanding the topological excitations in condensed matter systems.

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“…Subsequently, one can introduce spin-orbit coupling to stabilize self-trapped modes, i.e., matter-wave solitons [17][18][19][20][21][22][23][24][25][26] and quantum droplets (QDs) [27]. QDs, a new type of self-bound quantum liquid state, were created experimentally in dipolar bosonic gases of dysprosium [28] and erbium [29], as well as in mixtures of two atomic states of 39 K [30] with contact interactions.…”

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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Two-Dimensional Vortex Solitons in Spin-Orbit-Coupled Dipolar Bose–Einstein Condensates

Cited by 10 publications

References 82 publications

Holding and transferring matter-wave solitons against gravity by spin–orbit-coupling tweezers

Holding and transferring matter-wave solitons against gravity by spin–orbit-coupling tweezers

Vector gap solitons of spin-orbit-coupled Bose-Einstein condensate in square optical lattice

Quantum droplets in two-dimensional optical lattices

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