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| related topics |
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| {equation, function, exp} |
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| {level, atom, field} |
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| {energy, gaussian, time} |
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Field quantization for open optical cavities
C. Viviescas, G. Hackenbroich
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0203122
- categories:
- quant-ph
- comments:
- 16 pages, added references, corrected typos
- doi:
- 10.1103/PhysRevA.67.013805
- arxiv_id:
- quant-ph/0203122
- journal_ref:
- Phys. Rev. A 67, 013805 (2003)
- created:
- 2002-03-25
- updated:
- 2003-01-10
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