Matter-wave dromions in a disk-shaped dipolar Bose-Einstein condensate with the Lee-Huang-Yang correction

Shi, Zeyun; Huang, Guoxiang

doi:10.1103/physreve.107.024214

Cited by 6 publications

(3 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Elastic, inelastic and completely inelastic interaction between two dromions 3.1. Dynamic characteristics of a single dromion structure The exponentially localized dromion structure is an important nonlinear excitation in high dimensions [40][41][42][43][44][45].…”

Section: Variable Seperation Solutionmentioning

confidence: 99%

See 1 more Smart Citation

Fusion and fission phenomena in a (2+1)-dimensional Sawada-Kotera type system

Wang,

Yang,

Tang

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

In this study, we extend the generalized multilinear variable separation approach to a fifth-order nonlinear evolution equation. By performing asymptotic analysis on the variable separation solution, which is composed of three lower-dimensional functions, we identify a resonant regime governing dromion-dromion/solitoff interactions. In the case of two-dromion interactions, elastic, inelastic, and completely inelastic collisions are possible, while for the dromion-solitoff interaction only inelastic and completely inelastic collisions are permitted. Furthermore, we derive two types of semi-rational solutions from the quadratic function ansatz. In particular, in the scenario of a completely resonant collision between a lump and a line-soliton pair, the lump separates from one line soliton and exists briefly before merging with the other soliton, forming a localized lump in both time and space dimensions. The fusion or fission phenomena between the dromion-dromion/solitoff interaction and the lump-line soliton interaction are shown graphically.

show abstract

Section: Variable Seperation Solutionmentioning

confidence: 99%

“…It appears in various physical systems, such as the magnetosphere of Saturn [44] and the disk-shaped dipolar Bose-Einstein condensate [45].…”

Section: Variable Seperation Solutionmentioning

confidence: 99%

Fusion and fission phenomena in a (2+1)-dimensional Sawada-Kotera type system

Wang,

Yang,

Tang

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…In this way, the system is effectively reduced to a quasi-1D one. [23] For convenience of later calculations, it is better convert Eq. ( 2) to a dimensionless form.…”

mentioning

confidence: 99%

Quantum Squeezing of Matter-Wave Solitons in Bose-Einstein Condensates

Zhu 朱,

Huang 黄

2023

Chinese Phys. Lett.

View full text Add to dashboard Cite

We investigate the quantum squeezing of matter-wave solitons in atomic Bose–Einstein condensates. By calculating quantum fluctuations of the solitons via solving the Bogoliubov–de Gennes equations, we show that significant quantum squeezing can be realized for both bright and dark solitons. We also show that the squeezing efficiency of the solitons can be enhanced and manipulated by atom–atom interaction and soliton blackness. The results reported here are beneficial not only for understanding quantum property of matter-wave solitons, but also for promising applications of Bose-condensed quantum gases.

show abstract