单分量和二分量玻色-爱因斯坦凝聚体亮孤子解的李黄杨修正  

Lee-Huang-Yang correction for bright soliton solutions of single and two component Bose-Einstein condensates

作　　者：梁庭维 王林红 孙青 胡洁[1] LIANG Tingwei;WANG Linhong;SUN Qing;HU Jie(Department of Physics,Capital Normal University,Beijing 100048)

机构地区：[1]首都师范大学物理系,北京100048

出　　处：《首都师范大学学报（自然科学版）》2024年第2期74-83,共10页Journal of Capital Normal University：Natural Science Edition

基　　金：国家自然科学基金面上项目(62175169)。

摘　　要：李黄杨(LHY)修正是指玻色-爱因斯坦凝聚体中的自陷态,通过平均场(MF)态周围的量子涨落引起的有效自排斥来稳定,但LHY修正可能会影响玻色-爱因斯坦凝聚体亮孤子的基态,导致亮孤子试探解产生一定的适用范围。本研究利用变分近似法和以Gross-Pitaevskii方程为基础的数值模拟方法,通过将准一维情况单分量和二分量的玻色-爱因斯坦凝聚体基态模型加入LHY修正,计算了2个系统的试探解和数值模拟解。计算表明,对于准一维带有LHY项的单分量和二分量玻色-爱因斯坦凝聚体,当系统的LHY系数G在一定情况下可以通过变分法得到较好的静态近似解。本文的研究对于获得准一维情况下带有LHY项的单分量和二分量玻色-爱因斯坦凝聚体的基态解析解的条件提供了理论支持,为今后研究该系统的性质和物理内涵提供了帮助。The Lee-Huang-Yang(LHY)correction refers to the self trapping state in the Bose Einstein condensates,which is stabilized through effective self repulsion caused by quantum fluctuations around the mean field(MF)state.However,the LHY correction may affect the ground state of bright solitons in Bose Einstein condensates,leading to a certain range of applicability for the experimental solution of bright solitons.This study utilized variational approximation and numerical simulation methods based on the Gross Pitaevskii equation.By incorporating LHY corrections to the ground state models of quasi one-dimensional Bose Einstein condensates with single and two components,the experimental and numerical simulation solutions of the two systems were calculated.The calculation shows that for quasi one-dimensional single component and two component Bose Einstein condensates with LHY terms,good static approximate solutions can be obtained through the variational method under certain conditions for the LHY coefficient G of the system.The research in this article provides theoretical support for obtaining the ground state analytical solutions of single and two component Bose Einstein condensates with LHY terms in the quasi one-dimensional case,and provides assistance for future research on the properties and physical connotations of the system.

关 键 词：玻色-爱因斯坦凝聚 自旋-轨道耦合 李黄杨(LHY)修正 

分 类 号：O469[理学—凝聚态物理]