论文标题
多组分玻色子冷凝物中的深色黑暗孤子呼吸模式
Dark-dark soliton breathing patterns in multi-component Bose-Einstein condensates
论文作者
论文摘要
在这项工作中，我们系统地探索了各种SO（2）旋转诱导的多个深色黑暗的Soliton呼吸模式，这些呼吸模式是从固定和频谱稳定的多个深色黑白和深色 - 黑暗的波形中获得的，这些波形在被困的一维原子原子 - 原子 - 啤酒酿造液（BECS）中获得。固定状态源于相关的线性极限（作为量子谐波振荡器问题的本征函数），并通过改变各自的化学电位，即从低密度线性限制到高密度的Thomas-Thomas-Thomas-Thomas-Thomas-Thomas-Fermi制度，从参数持续到非线性状态。我们执行Bogolyubov-DE Gennes（BDG）光谱稳定性分析，以识别这些状态的稳定参数状态。在这样（2）旋转时，在数值模拟中观察到稳定的稳态，一，两，三，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，四，s的呼吸模式。此外，还研究了在均匀环境中最多三个黑暗孤子的分析解决方案，还研究了三组分系统。
In this work, we explore systematically various SO(2)-rotation-induced multiple dark-dark soliton breathing patterns obtained from stationary and spectrally stable multiple dark-bright and dark-dark waveforms in trapped one-dimensional, two-component atomic Bose-Einstein condensates (BECs). The stationary states stem from the associated linear limits (as the eigenfunctions of the quantum harmonic oscillator problem) and are parametrically continued to the nonlinear regimes by varying the respective chemical potentials, i.e., from the low-density linear limits to the high-density Thomas-Fermi regimes. We perform a Bogolyubov-de Gennes (BdG) spectral stability analysis to identify stable parametric regimes of these states. Upon SO(2)-rotation, the stable steady-states, one-, two-, three-, four-, and many dark-dark soliton breathing patterns are observed in the numerical simulations. Furthermore, analytic solutions up to three dark-bright solitons in the homogeneous setting, and three-component systems are also investigated.
