论文标题
二维Bose-Einstein冷凝物中的调节不稳定性和量子液滴
Modulational instability and quantum droplets in a two-dimensional Bose-Einstein condensate
论文作者
论文摘要
研究了在量子波动存在下均匀的二维二元玻璃晶凝结物（BEC）的调节不稳定。该分析基于耦合的毛皮核方程。结果表明，当BEC密度低于阈值时，量子波动会诱导不稳定。发现调制的增长率对BEC参数的依赖性。可以观察到相互作用参数和/或成分初始密度的不对称性通常会降低生长速率。不稳定性的进一步发展导致BEC分解为一组量子液滴。这些液滴彼此动态合并，以使液滴的总数迅速减少。对于不同的初始参数，对此减少的速率进行了数值评估。
Modulational instability of a uniform two-dimensional binary Bose-Einstein condensate (BEC) in the presence of quantum fluctuations is studied. The analysis is based on the coupled Gross-Pitaevskii equations. It is shown that quantum fluctuations can induce instability when the BEC density is below a threshold. The dependence of the growth rate of modulations on the BEC parameters is found. It is observed that an asymmetry of the interaction parameters and/or initial densities of the components typically decreases the growth rate. Further development of the instability results in a break-up of the BEC into a set of quantum droplets. These droplets merge dynamically with each other so that the total number of droplets decreases rapidly. The rate of this decrease is evaluated numerically for different initial parameters.
