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.

中文翻译：

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二维二元自束缚玻色气体小滴的呼吸模式

在这项工作中，我们研究了二维自绑定二进制Bose液滴的固定结构和呼吸模式行为。我们采用带有超高斯试验阶数参数的变分ansatz的分析方法，并将其与扩展的Gross-Pitaevskii方程的数值解进行比较。我们发现，在描述系统的静态和动态特性时，超级高斯优于常用的高斯ansatz。与自蒸发过程相比，对于足够大的非旋转液滴来说，呼吸方式在能量上是有利的。但是，对于小型的自绑定系统，我们的结果基于ansatz而有所不同。通过将多个量化的涡旋压印在液滴中心来诱导角动量，这种对呼吸模式的偏爱独立于规范而持续存在。