本文研究含有一个费米子杂质的玻色爱因斯坦凝聚体在光学微腔作用下的隧穿动力学性质,探讨腔对单粒子隧穿过程的影响。从光学微腔与双阱中玻色子-费米子混合凝聚体耦合体系的哈密顿量出发,推导出与光学腔耦合强度有关的粒子隧穿基态能级差的解析表达式以及相对粒子数差的期望值。研究结果表明:光学腔与原子的耦合强度能够影响优先隧穿的粒子种类以及粒子隧穿的阶梯图形。

In this paper, the tunneling properties of Bose-Einstein condensates containing one fermion impurity in an optical microcavity are investigated. Based on the Hamiltonian of the coupling system between the optical microcavity and the Bose-Fermi mixture in a double well, the analytical expression of ground-state energy level difference of particle tunneling and the occupation number difference are deduced. The results show that: the coupling strength between the optical cavity and the atom has an effect on the kind of preferentially tunneling particles and the ladder pattern of particle tunneling.