单模激发纠缠相干态的数学特性

The Mathematical Properties of Single-Mode Excited Entangled Coherent States

提出了一种连续变量的纠缠相干态即单模激发纠缠相干态(SMEECSs),其形式为,︱ψ±(α,m)>=N±(α,m)α-+m(︱α,α>+︱-α,-α>),m=(1,2,3,…),并研究SMEECSs的数学性质以及通过激光-原子的相互作用和量子测量来制备SMEECSs这个态的方法。

The present paper introduces a new kind of continuous-variable-type entangled coherent states called single-mode excited entangled coherent states, which can be defined by ︱ψ±（α,m）〉=N±（α,m）α-＋m（︱α,α〉＋︱-α,-α〉）,m=（1,2,3,…） This paper mainly studies the mathematical properties of the states.It show that the SMEECSs form a type of cyclic representation of the Heisenberg-Weyl algebra.It also shows how such states can be produced by using cavity QED and quantum measurements.