Self-consistent projection operator theory in nonlinear quantum optical systems: A case study on degenerate optical parametric oscillators
Self-consistent projection operator theory in nonlinear quantum optical systems: A case study on degenerate optical parametric oscillators
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DOI：
10.1103/physreva.91.053850
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发表时间：
2015-05-26
影响因子：
2.9
通讯作者：
Hartmann, Michael J.
中科院分区：
文献类型：
--
作者：
Degenfeld-Schonburg, Peter;Navarrete-Benlloch, Carlos;Hartmann, Michael J.
非线性量子光学系统对于现代量子技术和耗散相变的研究具有重要意义。它们的非线性性质使得它们的理论研究非常具有挑战性，因此它们一直是开发用于分析开放量子系统的新技术的巨大动力。将最近发展起来的自洽投影算符理论应用于简并光学参量振荡器，以证明它在量子光学系统中的普遍适用性。我们表明，这个理论提供了一个有效的方法来计算每个模式的全量子态具有很高的精度，即使在临界点。它同样成功地描述了固定的限制和动态，包括区域的参数空间的数值积分的完整的问题是显着效率较低。我们进一步开发了一个高斯方法与我们的理论相一致，这产生了明显更好的结果比以前的高斯方法开发的这个系统，最显着的标准线性化技术。
Nonlinear quantum optical systems are of paramount relevance for modern quantum technologies, as well as for the study of dissipative phase transitions. Their nonlinear nature makes their theoretical study very challenging and hence they have always served as great motivation to develop new techniques for the analysis of open quantum systems. We apply the recently developed self-consistent projection operator theory to the degenerate optical parametric oscillator to exemplify its general applicability to quantum optical systems. We show that this theory provides an efficient method to calculate the full quantum state of each mode with a high degree of accuracy, even at the critical point. It is equally successful in describing both the stationary limit and the dynamics, including regions of the parameter space where the numerical integration of the full problem is significantly less efficient. We further develop a Gaussian approach consistent with our theory, which yields sensibly better results than the previous Gaussian methods developed for this system, most notably standard linearization techniques.