Breathing mode in two-dimensional binary self-bound Bose-gas droplets

In this work, we study the stationary structures and the breathing mode behavior of a two-dimensional self-bound binary Bose droplet. We employ an analytical approach using a variational ansatz with a super-Gaussian trial order parameter and compare it with the numerical solutions of the extended Gross-Pitaevskii equation. We find that the super-Gaussian is superior to the often used Gaussian ansatz in describing the stationary and dynamical properties of the system. For sufficiently large nonrotating droplets the breathing mode is energetically favorable compared to the self-evaporating process. However, for small self-bound systems our results differ based on the ansatz. Inducing angular momentum by imprinting multiply quantized vortices at the droplet center, this preference for the breathing mode persists independent of the norm.

Automated summary

This study investigates the stationary structures and breathing mode behavior of a two-dimensional self-bound binary Bose droplet using both an analytical approach and numerical solutions. It is found that the super-Gaussian ansatz is more effective in describing the system properties compared to the Gaussian ansatz. The preference for the breathing mode over the self-evaporating process is observed for large nonrotating droplets, while the results differ based on the ansatz for small self-bound systems.