Field quantization for open optical cavities
Field quantization for open optical cavities
复制标题
开放光学腔的场量化
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
G. Hackenbroich
中科院分区：
文献类型：
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作者：
C. Viviescas;G. Hackenbroich
我们研究与任意数量的逃逸通道耦合的光腔中电磁场的量子特性。我们考虑具有标量介电常数 $\ensuremath{\epsilon}(\mathbf{r})$ 的非均匀介电谐振器和由任意形状的镜子定义的腔。使用 Feshbach 投影仪技术，我们根据一组谐振器和浴模式来量化场。我们严格证明场哈密顿量可简化为量子光学的系统和浴哈密顿量。使用 Gardiner 和 Collet 的输入输出理论研究场动力学。在与外部辐射场强耦合的情况下，我们发现光谱重叠的谐振器模式。由于外部场造成的阻尼和噪声，模式动态是耦合的。对于波混沌谐振器，模式动力学由非埃尔米特随机矩阵确定。在包含放大介质后，我们的开放谐振器模式动力学可以作为随机激光量子理论的起点。
We study the quantum properties of the electromagnetic field in optical cavities coupled to an arbitrary number of escape channels. We consider both inhomogeneous dielectric resonators with a scalar dielectric constant $\ensuremath{\epsilon}(\mathbf{r})$ and cavities defined by mirrors of arbitrary shape. Using the Feshbach projector technique we quantize the field in terms of a set of resonator and bath modes. We rigorously show that the field Hamiltonian reduces to the system-and-bath Hamiltonian of quantum optics. The field dynamics is investigated using the input-output theory of Gardiner and Collet. In the case of strong coupling to the external radiation field we find spectrally overlapping resonator modes. The mode dynamics is coupled due to the damping and noise inflicted by the external field. For wave chaotic resonators the mode dynamics is determined by a non-Hermitean random matrix. Upon including an amplifying medium, our dynamics of open-resonator modes may serve as a starting point for a quantum theory of random lasing.