囚禁离子与单模场的相互作用

Interaction between a trapped ion with 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 -jν(j=1,2 ,3) ]和蓝激发 [ωL =ω0 +jν(j=1,2 ,3) ]情形下的统计性质 .讨论了系统的态函数随时间的演化关系、光子态和声子态交换的条件及相应的离子布居数 ,得到了光子数和声子数的平均值及其方差、光子场和声子场的二阶相干度等量值 .

The statistical properties of the system consisting of a trapped ion and a single-mode quantized radiation field are investigated under the conditions of carrier excitation (omega(L) = omega(0)), red excitation [omega(L) = omega(0) - jv(j = 1,2,3)] and blue excitation [omega(L) = omega(0) + jv(j = 1,2,3)] The time-evolution of the state of the system,the photon-and phonon-state exchange conditions and the corresponding populations of the ion are discussed. The corresponding averages and variances for photon and phonon numbers, as well as the second-order correlation function for the photon and phonon fields etc, have been obtained.