Quantum droplets in two-dimensional optical lattices

doi:10.1007/s11467-020-1011-3

Front. Phys.

2021, Vol. 16

Issue (2) : 22501 https://doi.org/10.1007/s11467-020-1011-3

RESEARCH ARTICLE

Quantum droplets in two-dimensional optical lattices

Yi-Yin Zheng, Shan-Tong Chen, Zhi-Peng Huang, Shi-Xuan Dai, Bin Liu, Yong-Yao Li(

), Shu-Rong Wang

School of Physics and Optoelectronic Engineering, Foshan University, Foshan 528000, China

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Abstract

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 offsite-centered 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 zero-vorticity 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.

Keywords lattice quantum droplets optical lattices vortex

Corresponding Author(s): Yong-Yao Li

Just Accepted Date: 24 September 2020 Issue Date: 23 October 2020

Cite this article:

Yi-Yin Zheng,Shan-Tong Chen,Zhi-Peng Huang, et al. Quantum droplets in two-dimensional optical lattices[J]. Front. Phys. , 2021, 16(2): 22501.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-020-1011-3
https://academic.hep.com.cn/fop/EN/Y2021/V16/I2/22501

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