与结构库耦合的光学微腔的非马尔可夫衰减和激射条件
Non-Markovian Decay and Lasing Condition in an Optical Microcavity Coupled to a Structured Reservoir
摘要：
本文从理论上研究了单模耦合到结构化连续模库（reservoir）的漏光谐振腔中经典电磁场的衰减动力学，并全面讨论了存在倒置介质时产生激光的阈值条件问题。具体的分析结果给出了一个单模微腔谐振耦合到耦合谐振腔光波导（CROW），它支持作为衰减通道的连续模式带。在弱耦合情况下，裸腔中的光场服从指数Weisskopf-Wigner（马尔可夫）衰减，激光阈值随耦合强度线性增加。随着微腔和结构化储层之间的耦合增加，无源腔中的场衰减显示出非指数特征，并且相应地，激光发射的阈值停止增加，达到最大值，然后随着耦合强度的进一步增加而开始减小。一个奇异的行为的“激光相变“，这是一个明确的签名强非马尔可夫动力学，被发现在临界值之间的耦合微腔和水库。
英文摘要：
The decay dynamics of the classical electromagnetic field in a leaky optical resonator supporting a single mode coupled to a structured continuum of modes (reservoir) is theoretically investigated, and the issue of threshold condition for lasing in presence of an inverted medium is comprehensively addressed. Specific analytical results are given for a single-mode microcavity resonantly coupled to a coupled resonator optical waveguide (CROW), which supports a band of continuous modes acting as decay channels. For weak coupling, the usual exponential Weisskopf-Wigner (Markovian) decay of the field in the bare resonator is found, and the threshold for lasing increases linearly with the coupling strength. As the coupling between the microcavity and the structured reservoir increases, the field decay in the passive cavity shows non exponential features, and correspondingly the threshold for lasing ceases to increase, reaching a maximum and then starting to decrease as the coupling strength is further increased. A singular behavior for the "laser phase transition", which is a clear signature of strong non-Markovian dynamics, is found at critical values of the coupling between the microcavity and the reservoir.
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