标题： 四波混频对关联斯托克斯-反斯托克斯散射的完全量子描述 显示英文标题

标题： Fully quantum description of the four-wave mixing contribution to correlated Stokes-anti-Stokes scattering

摘要： 在拉曼散射产生相关斯托克斯和反斯托克斯辐射的过程中，被称为斯托克斯-反斯托克斯（SaS）散射。 最近的研究表明，这一过程可以产生纠缠光子对，使其成为量子光学技术的有前途的工具，但缺乏适当的量子理论描述。 在本文中，开发了在具有振动拉曼响应的介质中，考虑量化电磁场的电极化率的完全量子推导。 使用海森堡算符的量子微扰理论，我们找到了材料电极化率的解，并表明相关的SaS散射出现在微扰的第一阶，对应于四波混频现象。 我们还讨论了如何从量子形式主义中构建用于SaS散射的三阶非线性光学极化率，并表明它与受激拉曼中推导的经典场的极化率一致。 显示英文摘要

摘要： The process in which Raman scattering produces correlated Stokes and anti-Stokes radiation is known as Stokes-anti-Stokes (SaS) scattering. It has been shown recently that this process can generate entangled photon pairs, making it a promising tool for quantum optical technologies, but a proper quantum theoretical description was lacking. In this paper, a fully quantum derivation of the electric polarization in a medium with vibrational Raman response, with quantized electromagnetic fields, is developed. Using quantum perturbation theory for Heisenberg operators, we find the solution for the material electric polarization and show that the correlated SaS scattering appears in the first order of perturbation, corresponding to a four-wave mixing phenomenon. We also discuss how to construct the third-order non-linear optical susceptibility for the SaS scattering from the quantum formalism, and show that it coincides with the one derived for classical fields in stimulated Raman.