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三维谐振子势阱中具有相互作用的两体系统的淬火动力学

发表时间:2024-01-16  浏览量:190  下载量:47
全部作者: 周正强,崔家楠,李轩,龙景仁,孙明远
作者单位: 北京邮电大学理学院;北京大学物理学院量子材料科学中心
摘 要: 本文研究了三维谐振子势阱中具有相互作用的两体系统的淬火动力学。两个超冷原子间的相互作用强度用s波散射长度表示,利用Feshbach共振可以瞬时改变s波散射长度。计算了淬火后两原子平均相对距离随时间的演化,发现在一定散射长度范围内两原子平均相对距离随时间呈双周期振荡的行为。分析了前3个本征态的叠加是产生双周期振荡的主要原因,得到了在一定散射长度范围内第一、第二本征能量差和振荡小周期呈倒数关系的结论。最后对檀接触(Contact)随时间的演化行为作了分析,其振荡周期包含多个本征能级差的成分。
关 键 词: 原子分子物理学;s波散射长度;双周期振荡;Contact
Title: Quench dynamics of a two-body system with interaction in a three-dimensional harmonic trap
Author: ZHOU Zhengqiang, CUI Jianan, LI Xuan, LONG Jingren, SUN Mingyuan
Organization: School of Science, Beijing University of Posts and Telecommunications; International Center for Quantum Materials, School of Physics, Peking University
Abstract: In this paper we study the quench dynamics of a two-body system with interaction in a three-dimensional harmonic trap. The strength of the interaction between two ultracold atoms is characterized by the s-wave scattering length, which can be instantaneously changed via the Feshbach resonance. By instantly changing the strength of interatomic interactions, we observe the evolution of the average relative distance between two atoms as a function of time. The results show that the average relative distance between two atoms in a given range of scattering lengths oscillates in a bi-periodic manner with respect to time. We analyze that the superposition of the first three eigenstates is the main cause of the double periodic oscillations, and it is concluded that the difference between the first and second eigenenergies and the small oscillation period are inversely related in a certain scattering length range. Finally, we analyze the evolution of Tan’s Contact with time, whose oscillation period contains multiple components of intrinsic energy level differences.
Key words: atomic and molecular physics; s-wave scattering length; double-period oscillation; Contact
发表期数: 2023年12月第4期
引用格式: 周正强,崔家楠,李轩,等. 三维谐振子势阱中具有相互作用的两体系统的淬火动力学[J]. 中国科技论文在线精品论文,2023,16(4):502-509.
 
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