囚禁离子与单模场相互作用系统的统计性质

The Statistical Properties of the System Consisting of a Trapped Ion and a Single-Mode Quantized Radiation Field

研究了囚禁离子与单模量子辐射场构成的相互作用系统在载波激发 (ωL=ω0 )、红激发 (ωL=ω0 - 2ν)和蓝激发 (ωL=ω0 + 2ν)情形下的统计性质 ,得到了光子数和声子数的平均值及其方差、光场的二阶相干度等量值 ,结果显示光场始终具有亚泊松统计特性 .

The statistical properties of the system consisting of a trapped ion and a single mode quantized radiation field are investigated under the carrier excitation ( ω L= ω 0), red excitation ( ω L= ω 0-2ν ) and blue excitation (ω L= ω 0+2ν) . The corresponding averages and variances in photon number and phonon number, the second order correlation function for the photon field and etc have been obtained. The result shows that the photon field has always had sub Poissonian statistical property.