玻色-爱因斯坦凝聚均匀系统中集体激发的朗道阻尼  

Landau Damping of Collective Excitation in Homogeneous Bose-Einstein Condensate

作　　者：陈影 周昱 马晓栋[1] Chen Ying;Zhou Yu;Ma Xiaodong(Xinjiang Key Laboratory for Luminescence Minerals and Optical Functional Materials,School of Physics and Electronic Engineering,Xinjiang Normal University,Urumqi 830054,Xinjiang,China;School of Science,Jiangsu University of Science and Technology,Zhenjiang 212003,Jiangsu,China)

机构地区：[1]新疆师范大学物理与电子工程学院新疆发光矿物与光功能材料研究重点实验室,新疆乌鲁木齐830054 [2]江苏科技大学理学院,江苏镇江212003

出　　处：《光学学报》2022年第16期201-212,共12页Acta Optica Sinica

基　　金：国家自然科学基金(10864006,11264039);新疆维吾尔自治区高校科研计划重点项目(XJED2010141);新疆师范大学“物理学”特色专业、新疆师范大学“物理学”重点学科资助。

摘　　要：应用哈特里-福克-博戈留波夫(HFB)平均场理论研究玻色-爱因斯坦凝聚(BEC)均匀系统中集体激发的朗道阻尼。首先,不采用准粒子共振跃迁和集体激发能量两个条件近似进行严格推导,在参量变化较大的范围内给出朗道阻尼与温度的函数关系,重点讨论趋近绝对零度和相变临界温度两种极限情况,并引入误差函数分析不同能量的准粒子跃迁对阻尼的贡献。然后,采用上述两个近似进行推导,并利用误差函数计算结果分析两种近似的适用范围。Landau damping of collective excitation in a homogeneous Bose-Einstein condensate(BEC)is studied by the Hartree-Fock-Bogoliubov(HFB)mean-field theory.The rigorous derivation is carried out without using the two approximations of quasi-particle resonance transition and collective excitation energy.The Landau damping as a function of temperature is given in a wide parameter range,and two limits of absolute zero and critical temperature of phase transition are highlighted.The contribution of quasi-particle transitions with different energies to damping is analyzed by the error function.In addition,the above two approximations are used for derivation,and the applicable range of the approximations is analyzed by the results of the error function.

关 键 词：量子光学 玻色-爱因斯坦凝聚 朗道阻尼 哈特里-福克-博戈留波夫近似 误差函数 

分 类 号：O469[理学—凝聚态物理]