Two-dimensional vortex quantum droplets
By Yongyao Li, Zhaopin Chen, Zhihuan Luo, Chunqing Huang, Haishu Tan, Wei Pang, Boris A. Malomed. Physical Review A, 2018
161 citations recorded by the source corpus.
It was recently found that the Lee-Huang-Yang (LHY) correction to the mean-field Hamiltonian suppresses the collapse and creates stable localized modes (two-component "quantum droplets", QDs) in two and three dimensions. We construct two-dimensional\ self-trapped modes in the form of QDs with vorticity $S$ embedded into each component. The QDs feature a flat-top shape, which expands with the increase of $S$ and norm $N$. An essential finding, produced by a systematic numerical analysis and analytical estimates, is that the vortical QDs are \emph{stable} (which is a critical issue for vortex solitons in nonlinear models) up to $S=5$, for $N$ exceeding a certain threshold value. In the condensate of $^{39}$K atoms, in which QDs with $S=0$ and a quasi-2D shape were created recently, the vortical droplets may have radial size $\lesssim 30$ $\mathrm{\mu}$m, with the number of atoms in the range of $10^{4}-10^{5}$. It is worthy to note that \textit{hidden-vorticity} states in QDs with topological charges $% S_{+}=-S_{-}=1$ in its components, which are prone to strong instability in other settings, have their stability region too, although it may be located beyond applicability limits of the underlying model. Dynamics of elliptically deformed QDs, which form rotating elongated patterns or ones with strong oscillations of the eccentricity, as well as collisions of QDs, are also addressed.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/341c89e386961575ffaed74df782e33be00d7108
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- A new form of liquid matter: Quantum droplets (2020, methodology): “In particular, it tends to strongly destabilize vortex modes with unequal topological charges in the two components [40, 41].”
- (INVITED) Vortex solitons: Old results and new perspectives (2019, background): “Comparison with numerical findings demonstrates that this approximation produces reasonable results for 1 ≤ S ≤ 4 [161].”