COOPERATIVE RADIATION PROCESSES IN 2-LEVEL SYSTEMS - SUPERFLUORESCENCE .2.

COOPERATIVE RADIATION PROCESSES IN 2-LEVEL SYSTEMS - SUPERFLUORESCENCE .2.
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DOI:
10.1103/physreva.12.587
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发表时间:
1975-01-01
期刊:
影响因子:
2.9
通讯作者:
LUGIATO, LA
LUGIATO, LA
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
BONIFACIO, R;LUGIATO, LA

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本文讨论了考虑非马尔可夫效应的二能级系统中协同辐射过程的量子特征。如果初始条件是空间均匀的,那么由前一篇论文所推导并进行了半经典讨论的多模原子场主方程可以简化为众所周知的单模模型激光主方程。因此,使用一个合适的投影算子,我们推导出一个广义的非马尔可夫主方程,该方程在第一个玻恩近似中已经证明是正确的。这个主方程包含了受激辐射和吸收以及自发辐射的影响。当受激过程可以忽略时,它可以简化为先前已知的马尔可夫超辐射主方程,而通常它描述了辐射强度的非马尔可夫振荡。最后,我们导出了Dicke状态占据概率的线性方程组,它推广了前面讨论的系统,并考虑了受激过程的贡献。
In this paper we discuss the quantum features of cooperative radiation processes in a two-level system taking into account non-Markovian effects. If the initial condition is spatially uniform, the many-mode atom-field master equation which has been derived and semiclassically discussed in a previous paper, reduces to the well-known single-mode model laser master equation. Hence, using a suitable projection operator, we derive a generalized non-Markovian master equation which turns out to be correct already in the first Born approximation. This master equation incorporates the effects both of stimulated emission and absorption and of spontaneous emission. When stimulated processes can be neglected, it reduces to a previously known Markovian superradiance master equation, whereas in general it describes non-Markovian oscillations of the radiated intensity. Finally we derive a linear system of equations for the probability of occupation of the Dicke states which generalizes a previously discussed system, taking into account the contribution of stimulated processes.