二能级原子体系的二项式态

BINOMIAL STATES OF THE TWO-LEVEL ATOMIC SYSTEM

本文引进二能级原子体系能够的产生二项式分布的二项式态,讨论了它的产生及其压缩、反聚束和亚泊松统计特性,在一定的极限下,二项式态趋于Glauber相干态,此时二项式分布也趋于泊松分布。这一极限使体系的一切非经典效应消失。同时采用Bloch矢量模型讨论了单原子一般二项式态的量子特性。最后把原子体系的二项式态与玻色子体系的二项式态作了比较,并指出二能级原子体系中并不能产生玻色子二项式态。

In this paper, we introduce the binomial state of a two-level atomic system, which is a state that yields a binomial probability distribution. Its generation, squeezing, antibunching, and subpoisson statistics are discussed. It reduces to the Glauber coherent state in certain limit, and in that limit, the binomial distribution reduces to the Poisson distribution. This limiting process destroys all nonclassical effects of the system. The Bloch vector model is used to discuss the quantum characters of mixed state of one atom. Finally, the binomial state of the atomic system and the binomial state of the Bose system is compared. It is shown that the binomial state of a Bose system can not be produced in a atomic system.