Semidiscrete Quantum Droplets and Vortices

Zhang, Xiliang; Xu, Xiaoxi; Zheng, Yiyin; Chen, Zhaopin; Liu, Bin; Huang, Chaoqun; Malomed, Boris A.; Li, Yongyao

doi:10.1103/physrevlett.123.133901

Cited by 86 publications

(42 citation statements)

References 77 publications

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“…Such tightly localized semidiscrete modes were not reported in the previously studied semidiscrete system. [ 58 ] In fully discrete 2D models, the possibility that the smallest vortex soliton includes four sites was theoretically predicted [ 10 ] and experimentally demonstrated. [ 12,13 ]…”

Section: Resultsmentioning

confidence: 99%

“…This definition is adopted from the previous study, [ 58 ] where

ε = 1

implied that solitons were effectively isotropic modes, whereas

ε > 1

and

ε < 1

indicated that their shape was anisotropic, namely, elongated in the continuous or discrete direction, respectively. Figure 6c displays ε as a function of P for the compact vortex solitons with

(N, N_{core}) = (4,0)

and

(N, N_{core}) = (5,1)

.…”

Section: Resultsmentioning

confidence: 99%

“…[ 58 ] However, results concerning the shape and stability of semidiscrete vortex solitons in the present system are essentially different. In particular, they may feature strong anisotropy, unlike quasi‐isotropic modes reported in the previous study, [ 58 ] and they may be built with much tighter shapes.…”

Section: Introductionmentioning

confidence: 98%

“…[ 55–57 ] Very recently, creation of a novel form of 2D anisotropic vortices, viz., semidiscrete QDs with imprinted vorticity, was elaborated in a system with one continuous and one discrete coordinates, realized as a binary condensate loaded in an array of parallel tunnel‐coupled quasi‐1D traps. [ 58 ] In that model, the intrinsic nonlinearity of the traps is represented by the combination of self‐attractive quadratic LHY and repulsive cubic mean‐field terms. A nontrivial peculiarity of the setting is identification of the vorticity, which is defined in terms of the global phase pattern carried by the semidiscrete state.…”

Section: Introductionmentioning

confidence: 99%

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Semidiscrete Vortex Solitons

Chen

et al. 2021

Advanced Photonics Research

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A possibility of creation of stable optical solitons combining one continuous and one discrete coordinates, with embedded vorticity, in an array of planar waveguides with intrinsic cubic–quintic (CQ) nonlinearity is demonstrated. The same system may be realized in terms of the spatiotemporal light propagation in an array of tunnel‐coupled optical fibers with the CQ nonlinearity. In contrast with zero‐vorticity states, semidiscrete vortex solitons do not exist without the quintic term in the nonlinearity. Two types of the solitons, viz., intersite‐centered (IC) and onsite‐centered (OC) ones, with even and odd numbers N of actually excited sites in the discrete direction, are identified. The modes carrying the embedded vorticity S=1 and 2 are considered. In accordance with their symmetry, the vortex solitons of the OC type exhibit an intrinsic core, whereas the IC solitons with small N may have a coreless structure. Facilitating their creation in the experiment, the modes reported in the present work may be much more compact states than their counterparts considered in other systems, and they feature strong anisotropy. They can be set in motion in the discrete direction, provided that the coupling constant exceeds a certain minimum value. Collisions between moving vortex solitons are also considered.

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Section: Resultsmentioning

confidence: 99%

“…This definition is adopted from the previous study, [ 58 ] where

ε = 1

implied that solitons were effectively isotropic modes, whereas

ε > 1

and

ε < 1

indicated that their shape was anisotropic, namely, elongated in the continuous or discrete direction, respectively. Figure 6c displays ε as a function of P for the compact vortex solitons with

(N, N_{core}) = (4,0)

and

(N, N_{core}) = (5,1)

.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Semidiscrete Vortex Solitons

Chen

et al. 2021

Advanced Photonics Research

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“…In the last few years, self-bound quantum droplets (QDs) in ultracold atoms have attracted increasing attention from both experimental and theoretical research [1][2][3][4][5][6][7][8][9][10][11][12][13]. In the pioneering theoretical work [14], the threedimensional (3D) QDs were predicted as stable solitonlike states in binary Bose-Einstein condensates (BECs) due to the balance between the attractive mean-field interaction (the inter-component attraction being slightly stronger than the intra-component repulsion) and the repulsive Lee-Huang-Yang (LHY) correction originating from quantum fluctuation [15], on the basis of a system of coupled mean-field Gross-Pitaevskii equations.…”

Section: Introductionmentioning

confidence: 99%

Stability and collisions of quantum droplets in PT-symmetric dual-core couplers

Zhou

Zhu

Wang

et al. 2020

Communications in Nonlinear Science and Numerical Simulation

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We study the effect of the interplay between parity-time (PT) symmetry and optical lattice (OL) potential on dynamics of quantum droplets (QDs) forming in a binary bosonic condensate trapped in a dual-core system. It is found that the stability of symmetric QDs in such non-Hermitian system depends critically on the competition of gain and loss γ, inter-core coupling κ, and OL potential. In the absence of OL potential, the PT-symmetric QDs are unstable against symmetry-breaking perturbations with the increase of the total condensate norm N , and they retrieve the stability at larger N , in the weakly-coupled regime. As expected, the stable region of the PT-symmetric QDs shrinks when γ increases, i.e., the PT symmetry is prone to break the stability of QDs. There is a critical value of κ beyond which the PT-symmetric QDs are entirely stable in the unbroken PT-symmetric phase. In the presence of OL potential, the PT-symmetric on-site QDs are still stable for relatively small and large values of N. Nevertheless, it is demonstrated that the OL potential can assist stabilization of PT-symmetric on-site QDs for some moderate values of N. On the other hand, it is worth noting that the relatively small PT-symmetric off-site QDs are unstable, and only the relatively large ones are stable. Furthermore, collisions between stable PT-symmetric QDs are considered too. It is revealed that the slowly moving PT-symmetric QDs tend to merge into breathers, while the fast-moving ones display quasi-elastic collision and suffer fragmentation for small and large values of N , respectively.

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Intrinsic Vortex–Antivortex Interaction of Light

Lin

Yin

et al. 2022

Laser & Photonics Reviews

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The spin-orbit interaction and the extrinsic orbit-orbit interaction of light have been thoroughly studied, which have led to important phenomena including the spin Hall effect, orbital Hall effect, and spin-orbit Hall effect of light. Nevertheless, the concept of optical intrinsic orbit-orbit interaction, which is named as vortex-antivortex interaction, is scarcely known to the authors knowledge. Here, such a novel interaction process is theoretically and experimentally demonstrated, which emerges due to mutual interplays among reciprocal helicities of singular cores in a freely propagating light field. A general model describing the process is presented, which includes a linearly independent term and a nonlinearly coupling term. It is revealed that the strong coupling leads to intuitive mutual attraction between two reciprocal vortices, while the weak coupling, in contrast, results in a counterintuitive repulsive phenomenon. The vortex-antivortex interaction enables the predictions and observations of the orbital angular momentum Hall effect, as well as the stable propagation of an appropriately structured vortex arrays without nonlinear light-matter interactions. The results expand the scope of interaction processes among different forms of optical angular momenta, and open opportunities for studies of new effects using the presented coupling mechanism.

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Semidiscrete Quantum Droplets and Vortices

Cited by 86 publications

References 77 publications

Semidiscrete Vortex Solitons

Semidiscrete Vortex Solitons

Stability and collisions of quantum droplets in PT-symmetric dual-core couplers

Intrinsic Vortex–Antivortex Interaction of Light

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