激光Heisenberg方程的微扰方法
Perturbation approach in Heisenberg equations for lasers
摘要：
非线性Heisenberg-Langevin方程解析求解算子傅里叶展开的激光器在LED制度。激光能级布居数的波动被认为是扰动。谱的运营商产品计算卷积，保持玻色交换的激光场运营商。结果表明，布居数的涨落显著影响自发辐射和受激发射进入激光模式，增加了辐射率和激光光子数，拓宽了坏腔无阈值和超辐射激光器的光谱。该方法适用于量子光学中的各种谐振系统。
英文摘要：
Nonlinear Heisenberg-Langevin equations are solved analytically by operator Fourier-expansion for the laser in the LED regime. Fluctuations of populations of lasing levels are taken into account as perturbations. Spectra of operator products are calculated as convolutions, preserving Bose commutations for the lasing field operators. It is found that fluctuations of population significantly affect spontaneous and stimulated emissions into the lasing mode, increase the radiation rate, the number of lasing photons and broad the spectrum of a bad cavity thresholdless and the superradiant lasers. The method can be applied to various resonant systems in quantum optics.
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