# Semidiscrete Quantum Droplets and Vortices.

@article{Zhang2019SemidiscreteQD, title={Semidiscrete Quantum Droplets and Vortices.}, author={Xiliang Zhang and Xiaoxi Xu and Y. Zheng and Zhao-pin Chen and B. Liu and Chunqing Huang and B. Malomed and Yongyao Li}, journal={Physical review letters}, year={2019}, volume={123 13}, pages={ 133901 } }

We consider a binary bosonic condensate with weak mean-field (MF) residual repulsion, loaded in an array of nearly one-dimensional traps coupled by transverse hopping. With the MF force balanced by the effectively one-dimensional attraction, induced in each trap by the Lee-Hung-Yang correction (produced by quantum fluctuations around the MF state), stable on-site- and intersite-centered semidiscrete quantum droplets (QDs) emerge in the array, as fundamental ones and self-trapped vortices, with… Expand

#### 17 Citations

Asymmetry and formation of quantum droplets in quasi-one-dimensional binary Bose gases

- Physics
- 2019

A quantum droplet is an ultradilute liquid state which emerges from the competitive interplay of two Hamiltonian terms, the mean-field (MF) energy and beyond-MF correction in a weakly interacting… Expand

Multi-stable quantum droplets in optical lattices

- Physics
- 2020

We address the nonlinear dynamics of binary Bose-Einstein condensates with mutually symmetric spinor components trapped in an optical lattice. The interaction between the repulsive Lee–Huang–Yang… Expand

One-dimensional quantum droplets under space-periodic nonlinear management

- Physics
- 2021

Abstract Quantum droplets have recently emerged as a novel liquid state of matter in a mixture of two-component ultracold Bose gases under the equilibrium condition between the competing attractive… Expand

Quantum droplets in two-dimensional optical lattices

- Physics
- 2020

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… Expand

Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases

- Physics, Computer Science
- Symmetry
- 2020

This work relates the formation of droplets in symmetric and asymmetric two-component one-dimensional boson systems to the modulational instability of a spatially uniform state driven by the beyond-mean-field term. Expand

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

- Physics, Computer Science
- Commun. Nonlinear Sci. Numer. Simul.
- 2020

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. Expand

Nonlinear modes in spatially confined spin–orbit-coupled Bose–Einstein condensates with repulsive nonlinearity

- Physics
- 2020

It was found that spatially confined spin-orbit (SO) coupling, which can be induced by illuminating Bose-Einstein condensates (BECs) with a Gaussian laser beam, can help trap a spinor Bose gas in… Expand

Dark matter-wave gap solitons of Bose-Einstein condensates trapped in optical lattices with competing cubic-quintic nonlinearities

- Physics
- 2021

Abstract Solitons are nonlinear self-sustained wave excitations and probably among the most interesting and exciting emergent nonlinear phenomenon in the corresponding theoretical settings. Bright… Expand

Nonlinearity and Discreteness: Solitons in Lattices

- Physics
- 2020

An overview is given of basic models combining discreteness in their linear parts (i.e., the models are built as dynamical lattices) and nonlinearity acting at sites of the lattices or between the… Expand

Discrete solitons in zigzag waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings

- Physics
- 2020

Abstract We study discrete solitons in zigzag discrete waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings. The waveguide array is… Expand

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