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Higher-order squeezing and sub-poissonian photon statistics in CARS and CAHRS

机译：CARS和CAHRS中的高阶压缩和亚泊松光子统计

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摘要

The Squeezing and sub-poissonian photon statistics of an optical field are a purely quantum mechanical phenomenon and has been accepted as means of achieving noise below the quantum shot-noise limit. The effect of higher-order squeezing and sub-poissonian nature of an optical field in coherent anti-Stokes Raman scattering (CARS) and coherent anti-Stokes hyper Raman scattering (CAHRS) are investigated under short-time approximation. The coupled Heisenberg equations of motion involving real and imaginary parts of the quadrature operators are established and solved under short-time scale. The dependence of squeezing on the number of photons is also investigated. It is also shown that higher-order squeezing allows a much larger fractional noise reduction than lower-order squeezing. The occurrence of amplitude squeezing effects of the radiation field in the fundamental mode is investigated in both the processes. The present work shows that squeezing is greater in CAHRS than the corresponding squeezing in CARS. It is also shown that squeezing is greater in stimulated process than corresponding squeezing in spontaneous interaction. The conditions for obtaining maximum and minimum squeezing are obtained. The photon statistics of the pump mode in the processes has also been investigated and found to be sub-poissonian in nature.
机译：光场的压缩和亚泊松光子统计是纯粹的量子力学现象，已被接受为实现低于量子散粒噪声极限的噪声的手段。在短时近似下研究了相干抗斯托克斯拉曼散射（CARS）和相干抗斯托克斯超拉曼散射（CAHRS）中光场的高阶压缩和亚泊松性质的影响。在短时间内建立并求解了涉及正交算子的实部和虚部的耦合海森堡运动方程。还研究了压缩对光子数量的依赖性。还表明，高阶压缩比低阶压缩具有更大的分数降噪效果。在两个过程中都研究了基本模式下辐射场的振幅压缩效应的发生。目前的工作表明，CAHRS中的压缩比CARS中的相应压缩更大。还表明，在自发相互作用中，挤压比在自发相互作用中的挤压更大。获得用于获得最大和最小挤压的条件。还对过程中泵浦模式的光子统计进行了研究，发现其本质上是亚泊松分布的。

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