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arXiv 2008.00484cond-mat.quant-gasnlin.PS
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量子液滴的解析研究

Investigation of Quantum Droplet: An Analytical Approach

Argha Debnath, Ayan Khan

摘要:

近年来对偶极和二元玻色-爱因斯坦凝聚体(BEC)中液滴的观测激发了我们对液滴形成理论的深入研究。准确地说,我们感兴趣的是调查液滴形成的可能性,在准一维的几何形状。最近的观测结果表明,液滴的稳定是由有效平均场和超平均场相互作用之间的竞争引起的。因此,有可能将有效运动方程映射到一个四次非线性薛定谔方程(CQNLSE)。我们得到了修正的Gross-Pitaevskii方程或CQNLSE的两个解析解,并进行了数值验证。基于他们的稳定性,我们调查的参数制度,液滴可以形成。有效的潜力,使我们能够得出结论的区域孤子的优势和自约束液滴的形成。

英文摘要:

Recent observations of droplets in dipolar and binary Bose-Einstein condensate (BEC) motivates us to study the theory of droplet formation in detail. Precisely, we are interested in investigating the possibility of droplet formation in a quasi-one-dimensional geometry. The recent observations have concluded that the droplets are stabilized by the competition between effective mean-field and beyond mean-field interaction. Hence, it is possible to map the effective equation of motion to a cubic-quartic nonlinear Schrödinger equation (CQNLSE). We obtain two analytical solutions of the modified Gross-Pitaevskii equation or CQNLSE and verified them numerically. Based on their stability we investigate the parameter regime for which droplets can form. The effective potential allows us to conclude about the regions of soliton domination and self-bound droplet formations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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