Atomic motion in laser light: connection between semiclassical and quantum descriptions
Atomic motion in laser light: connection between semiclassical and quantum descriptions
复制标题
激光中的原子运动：半经典和量子描述之间的联系
DOI：
10.1088/0022-3700/18/8/019
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发表时间：
1985
期刊：
影响因子：
--
通讯作者：
C. cohen
中科院分区：
文献类型：
--
作者：
J. Dalibard;C. cohen
描述激光中原子缓慢运动的量子动力学方程是通过提供具有透明物理结构的数学表达式的运算方法导出的。作者以一般方式证明，该方程中出现的系数属于 Fokker-Planck 型，与半经典方法的平均值和海森堡辐射力的相关函数简单相关，其中原子位置被经典处理。他们特别推导了负责辐射冷却的阻尼力的新理论表达式，并用线性响应理论对其进行了解释。作者还获得了一个新的交叉 r-p 导数项，该项不会出现在半经典处理中，但他们发现在大多数情况下该项非常小。最后，所有推导的理论表达式对于任何 Jg 到 Je 的跃迁都有效，并且不限于两能级原子。
The quantum kinetic equation describing slow atomic motion in laser light is derived by an operational method which provides mathematical expressions with a transparent physical structure. The authors prove in a general way that the coefficients appearing in this equation, which is of a Fokker-Planck type, are simply related to the mean value and to the correlation functions of the Heisenberg radiative force of the semiclassical approach, where the atomic position is treated classically. They derive in particular a new theoretical expression for the damping force responsible for radiative cooling and they interpret it in terms of linear response theory. The authors also obtain a new crossed r-p derivative term, which does not appear in semiclassical treatments, but which they find to be very small in most situations. Finally, all the theoretical expressions derived are valid for any Jg to Je transitions and are not restricted to two-level atoms.