dorsal/arxiv
View SchemaField quantization for open optical cavities
| Authors | C. Viviescas, G. Hackenbroich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0203122 |
| URL | https://arxiv.org/abs/quant-ph/0203122 |
| DOI | 10.1103/PhysRevA.67.013805 |
| Journal | Phys. Rev. A 67, 013805 (2003) |
Abstract
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 $\epsilon({\bf r})$ 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.
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"abstract": "We study the quantum properties of the electromagnetic field in optical\ncavities coupled to an arbitrary number of escape channels. We consider both\ninhomogeneous dielectric resonators with a scalar dielectric constant\n$\\epsilon({\\bf r})$ and cavities defined by mirrors of arbitrary shape. Using\nthe Feshbach projector technique we quantize the field in terms of a set of\nresonator and bath modes. We rigorously show that the field Hamiltonian reduces\nto the system--and--bath Hamiltonian of quantum optics. The field dynamics is\ninvestigated using the input--output theory of Gardiner and Collet. In the case\nof strong coupling to the external radiation field we find spectrally\noverlapping resonator modes. The mode dynamics is coupled due to the damping\nand noise inflicted by the external field. For wave chaotic resonators the mode\ndynamics is determined by a non--Hermitean random matrix. Upon including an\namplifying medium, our dynamics of open-resonator modes may serve as a starting\npoint for a quantum theory of random lasing.",
"arxiv_id": "quant-ph/0203122",
"authors": [
"C. Viviescas",
"G. Hackenbroich"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.013805",
"journal_ref": "Phys. Rev. A 67, 013805 (2003)",
"title": "Field quantization for open optical cavities",
"url": "https://arxiv.org/abs/quant-ph/0203122"
},
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