arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新，休息一下吧，周末愉快~~
arXiv 2302.13367cond-mat.quant-gas
收藏

一维量子液滴与势阱及势垒的相互作用

Interaction of One-Dimensional Quantum Droplets with Potential Wells and Barriers

Argha Debnath, Ayan Khan, Boris Malomed

备注：
13 pages, 32 figures; To be published in Communions in Nonlinear Science and Numerical Simulation
发表信息：
Communications in Nonlinear Science and Numerical Simulation 126, 107457 (2023)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

AI总结：

研究一维量子液滴在窄势阱和势垒作用下的静态与动态性质，基于Gross-Pitaevskii方程发现精确稳定解，揭示碰撞分裂及势阱反弹等反直觉效应。

摘要：

我们研究了在窄势阱和势垒形式的局域势作用下，一维（1D）量子液滴（QDs）的静态和动态性质。QDs由1D Gross-Pitaevskii方程描述，包含平均场立方排斥项和超越平均场的吸引性二次项。在由delta函数势表示的势阱情况下，发现了被钉扎在势阱上的局域态的三个精确稳定解。还发展了针对势阱的Thomas-Fermi近似以及针对QD与势垒碰撞的绝热近似。通过系统模拟详细分析了入射QDs与势阱和势垒的碰撞。在相关参数平面上识别了诸如移动QD分裂为透射、反射和捕获碎片等结果。特别是，详细研究并定性解释了入射QD从势阱中部分或完全反弹的反直觉效应。

英文摘要：

We address static and dynamical properties of one-dimensional (1D) quantum droplets (QDs) under the action of local potentials in the form of narrow wells and barriers. The QDs are governed by the 1D Gross-Pitaevskii equation including the mean-field cubic repulsive term and the beyond-mean-field attractive quadratic one. In the case of the well represented by the delta-functional potential, three exact stable solutions are found for localized states pinned to the well. The Thomas-Fermi approximation for the well and the adiabatic approximation for the collision of the QD with the barrier are developed too. Collisions of incident QDs with the wells and barriers are analyzed in detail by means of systematic simulations. Outcomes, such as fission of the moving QD into transmitted, reflected, and trapped fragments, are identified in relevant parameter planes. In particular, a counter-intuitive effect of partial or full rebound of the incident QD from the potential well is studied in detail and qualitatively explained.

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。

↑