二项-负二项组合光场态的光子统计性质及其在量子扩散通道中的生成

Statistical properties of binomial and negative-binomial combinational optical field state and its generation in quantum diffusion channel

在组合二项-负二项分布的基础上，提出了二项一负二项组合光场态，这种态能在F0ck态历经量子扩散通道的过程中实现．导出了此光场的二阶相干度公式．g^（2）（t）=2-m^2＋m/（m＋kt）^2发现随着时间的推移光场从非经典Fock态变为经典态，光子数m经扩散通道后变成了m＋疵，毒是扩散常数，相应的光子统计从亚泊松分布历经泊松分布再变成混沌光；初始Fock态的光子数越多，则扩散所需的时间越长．

According to the combinational binomial-negative-binomial distribution, we propose a binomial-negative-binomial combinational optical field state, which can be generated in the process of a Fock state Iml（rnI passing through a m2 -bin quantum-mechanical diffusion channel. We derive the second-order coherence degree formula, g（2） （t） -~ 2 （m ＋ nt）2＇ which is the diffusion constant. We find that in the process of the Fock state undergoing quantum diffusion and becoming classical, the corresponding photon statistics evolves from sub-Poissonian distribution to Poisson distribution and finally goes to a chaotic state. We also find that the more photons in the initial Fock state, the longer time is needed for quantum decoherence.