玻色-爱因斯坦凝聚体自囚禁现象的动力学相变及其量子纠缠特性  

Dynamical phase changes of the self-trapping of Bose-Einstein condensates and its characteristic of entanglement

作　　者：马云[1] 傅立斌[2] 杨志安[1] 刘杰[2] 

机构地区：[1]济南大学理学院,济南250022 [2]北京应用物理与计算数学研究所,北京100088

出　　处：《物理学报》2006年第11期5623-5628,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10474008;10445005);中国工程物理研究院预研基金资助的课题.~~

摘　　要：研究了量子涨落对自囚禁现象的影响.采用玻色-爱因斯坦凝聚体(BEC)两模模型进行研究,发现有限粒子BEC系统自囚禁现象的发生同样存在临界现象,但是由于量子涨落的影响使得这个临界现象变得模糊,并且粒子数越小量子涨落的影响越明显.为了更加明确地描述有限粒子系统的自囚禁现象,通过系统各态平均占有概率的熵(简称平均熵)和平均纠缠熵来刻画自囚禁现象,并讨论自囚禁现象发生前后系统的纠缠特性.In this paper, we exploit two-mode model to investigate the influence of quantum fluctuation on the self-trapping of the Bose-Einstein Condensate （ BEC）. We found that, even for the finite number of particles, the transition to self-trapping is still observed. In particular, because of the quantum fluctuation due to the finite number of particles, the critical phenomenon becomes fuzzily ： the smaller the number of particles is, the more obviously fuzzily the critical phenomenon becomes. Quantum entanglement entropy is then introduced to depict the critical behavior near the transition point.

关 键 词：玻色-爱因斯坦凝聚(BEC) 自囚禁 纠缠熵 

分 类 号：O431.2[机械工程—光学工程]