论文标题
激光器的海森堡方程中的扰动方法
Perturbation approach in Heisenberg equations for lasers
论文作者
论文摘要
非线性Heisenberg-langevin方程是通过LED策略中激光的操作员傅立叶扩展分析求解的。将激光水平的人群的波动视为扰动。操作员产品的光谱被计算为卷积,并为激光野外操作员保留了BOSE的换向。发现人群的波动显着影响自发和刺激的排放到激光模式,提高辐射率,激光光子的数量以及宽阔的腔体阈值和超级激光的光谱。该方法可以应用于量子光学元件中的各种谐振系统。
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.