研究阻尼量子孤子的累积展开
Cumulant expansion for studying damped quantum solitons
摘要：
利用累积展开方法研究了阻尼光孤子的量子统计特性。吸收的效果描述在普通的马尔可夫松弛理论，通过耦合光场的连续水库模式。在引入局域玻色子场算符和空间离散化后，导出了多维s参数化相空间函数的伪Fokker-Planck方程。这些偏微分方程等价于相空间函数的累积量的一组无穷常微分方程。引入适当的截断条件，得到的有限组累积量演化方程可以数值求解。在高斯近似下给出了解，并计算了量子噪声，特别强调了压缩和最近测量的光谱光子数相关性[Spaelter等人，物理修订信函81，786（1998）]。
英文摘要：
The quantum statistics of damped optical solitons is studied using cumulant-expansion techniques. The effect of absorption is described in terms of ordinary Markovian relaxation theory, by coupling the optical field to a continuum of reservoir modes. After introduction of local bosonic field operators and spatial discretization pseudo-Fokker-Planck equations for multidimensional s-parameterized phase-space functions are derived. These partial differential equations are equivalent to an infinite set of ordinary differential equations for the cumulants of the phase-space functions. Introducing an appropriate truncation condition, the resulting finite set of cumulant evolution equations can be solved numerically. Solutions are presented in Gaussian approximation and the quantum noise is calculated, with special emphasis on squeezing and the recently measured spectral photon-number correlations [Spaelter et al., Phys. Rev. Lett. 81, 786 (1998)].
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
