Bistable multipole quantum droplets in binary Bose-Einstein condensates

Dong, Liangwei; Liu, Dongshuai; Du, Zhijing; Shi, Kai; Wei, Qi

doi:10.1103/physreva.105.033321

Cited by 22 publications

(6 citation statements)

References 54 publications

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“…Theoretical works have confirmed close agreement between properties of QDs predicted by the LHY-amended Gross-Pitaevskii equations (GPEs) and by the many-body theory based on the quantum diffusion Monte-Carlo method [24][25][26][27][28][29]. Thus, properties of QDs were predicted in the framework of the LHY-amended GPEs in various settings [7][8][9][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44]. In particular, it was predicted that 2D and 3D asymmetric QDs may perform circular motion in an anharmonic trapping potential [45].…”

Section: Introductionmentioning

confidence: 58%

“…where the r-dependent factor is the normalized wave function of the commonly known 1D bound state supported by the deltafunctional trapping potential. The reduced GPE for the azimuthal wave function, Φ (θ, t), can be derived, as usual [54], by the substitution of the factorized ansatz (9) in the underlying equation ( 2), multiplying it by the same radial wave function as is present in the ansatz, and finally performing the radial integration. The results is…”

Section: The Theoretical Modelmentioning

confidence: 99%

“…QDs behave as nearly incompressible self-sustained liquid droplets, with the core featuring a uniform density in the limit of large atom numbers [1]. QDs may be stable not only in their fundamental state, but also in excited forms, e.g., as vortex QDs (VQDs) or multipole-mode QDs in both two-dimensional (2D) [7][8][9] and three-dimensional (3D) [10,11] geometries.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions

Dong

Fan

2023

Chaos, Solitons & Fractals

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Section: Introductionmentioning

confidence: 58%

Section: The Theoretical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions

Dong

Fan

2023

Chaos, Solitons & Fractals

Self Cite

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“…QDs have been experimentally realized in ingle-component dipolar bosonic gases [12][13][14], binary Bose-Bose mixtures of two different atomic states in 39 K [15][16][17][18][19], and in the heteronuclear mixture of 41 K and 87 Rb atoms [20]. In addition to QDs in the one-dimensional (1D) geometry [2,[21][22][23][24], they have been studied in detail in multidimensional settings, such as vortex QDs, multiple droplets, QD clusters, and crystals [25][26][27][28][29][30][31][32][33][34][35]. In particular, the existence and stability of 1D holes and kinks and 2D vortices nested in extended BECs were investigated in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…As concerns a variety of QD patterns with a complex 2D arrangement, such as vortex droplets, multiple QDs and QD clusters [25,31,37], it is relevant to consider effects of the gain-loss distribution in the P T -symmetric potential on their structure. In this context, we introduce generalized P T -symmetric HOG potentials into the 2D GP equation and investigate the dynamics of QDs representing ground and excited states.…”

Section: Introductionmentioning

confidence: 99%

Formations and dynamics of two-dimensional spinning asymmetric quantum droplets controlled by a PT-symmetric potential

Jiang¹,

Yan²,

Malomed³

2023

Preprint

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In this paper, vortex solitons are produced for a variety of 2D spinning quantum droplets (QDs) in a P T -symmetric potential, modeled by the amended Gross-Pitaevskii equation with Lee-Huang-Yang corrections. In particular, exact QD states are obtained under certain parameter constraints, providing a guide to finding the respective generic family. In a parameter region of the unbroken P T symmetry, different families of QDs originating from the linear modes are obtained in the form of multipolar and vortex droplets at low and high values of the norm, respectively, and their stability is investigated. In the spinning regime, QDs become asymmetric above a critical rotation frequency, most of them being stable. The effect of the P T -symmetric potential on the spinning and nonspinning QDs is explored by varying the strength of the gain-loss distribution. Generally, spinning QDs trapped in the P T -symmetric potential exhibit asymmetry due to the energy flow affected by the interplay of the gain-loss distribution and rotation. Finally, interactions between spinning or nonspinning QDs are explored, exhibiting elastic collisions under certain conditions. As a new species of liquids, quantum droplets (QDs), originating from the delicate balance between the mutual attraction and self-repulsion in two-component Bose-Einstein condensates (BECs), attract steadily growing interest in studies of ultracold atoms and superfluids, since the prediction of QDs by Petrov [1]. They are stabilized against the critical or supercritical collapse by the Lee-Huang-Yang (LHY) correction to mean-field interactions, making it possible to observe stable QDs, such as vortex QDs, multiple droplets, QD clusters, and crystals [9]. On the other hand, experimental realization of complex P T potentials in BECs is feasible and many ideas for the respective experimental design have been proposed recently. Especially, as concerns a variety of QD patterns with a complex 2D arrangement, such as vortex droplets and multiple QDs and QDs clusters, it is important to consider effects of the gain-loss distribution in the P T -symmetric potential on their structure. In this paper, a rich variety of spinning QDs are found trapped in a P T -symmetric potential, in the form of multipolar and vortex droplets at low and high values of the norm, respectively, and their stability is investigated. In the spinning regime, QDs become asymmetric above a critical value of the rotation frequency, most of them being stable. Furthermore, it is found that spinning QDs trapped in a P T -symmetric potential exhibit asymmetry due to the energy flow affected by the interplay of the gain-loss distribution and rotation. Finally, interactions between spinning or nonspinning QDs are investigated which display their elastic collisions under certain conditions.

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Vortex light bullets in a twisted cold atomic system with $$\mathcal{P}\mathcal{T}$$-symmetric anharmonic potential

Zhao,

Wu,

et al. 2024

Nonlinear Dyn

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Bistable multipole quantum droplets in binary Bose-Einstein condensates

Cited by 22 publications

References 54 publications

Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions

Stable higher-charge vortex droplets governed by quantum fluctuations in three dimensions

Formations and dynamics of two-dimensional spinning asymmetric quantum droplets controlled by a PT-symmetric potential

Vortex light bullets in a twisted cold atomic system with $$\mathcal{P}\mathcal{T}$$-symmetric anharmonic potential

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