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。

The circular electron positron collider (CEPC) is a future large collider facility proposed by the high energy physics community in China. It will serve as a Higgs boson factory, and produce large quantities of Z and W bosons, so it will be able to perform precise measurements of the Higgs boson properties, weak electromagnetic force physics, flavor physics, and quantum chromodynamics. Through these high-precision tests, the CEPC could explore new fundamental principles underlying the Standard Model particle physics. Dedicated studies on the potential of CEPC and the critical technologies involved have already been performed. In November 2018, the Conceptual Design Report, a preliminary blueprint of CEPC was published; its successful completion means that the project has now entered the phase of engineering design. The physics potential and progress of the R&D of CEPC will be reviewed in this paper.

鉴于反常玻色系统在相对论协变的零质量矢量场中的重要地位和作用,利用Dirac函数的围道积分 形式及其性质,并借助反常玻色系统粒子数表象的完备性特点,重点推导出了反常玻色产生算符的本 征右矢具体的广义解形式,并在此基础上,寻找到与之对应的两组由非共轭反常玻色量子态矢构成的 正交完备性关系,进一步发现此正交完备性关系并不与反常玻色系统中常出现的度规算符相关。作为 上述结论的应用,推导出了量子力学和量子光学中经常出现的两个多项式(Hermite多项式和Laguerre多项式)的 围道积分下的表示式,该表示形式具有普适性,可能对于解决有关以上两个多项式的量子光学问题提供帮助。

简化并用计算机求解了经过改进后的光子－玻色子元激发非线性耦合激光模型的动力学方程, 并对所得到的包括梯形和矩形准周期自脉冲、尖峰自脉冲、零维和一维吸引子以及阵发性混沌等一系列有趣的现象进行了讨论和研究。

提出了一种起源于光场与振子(boson元激发)之间非线性耦合的激光模型。详细地论证了该激光器的阂阈行为,它和光场与二能级原子耦合的激光一样,具有典型的二级相交特征。