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Effective Hamiltonian for the radiation in a cavity with a moving mirror and a time-varying dielectric medium
Abstract
We study the quantized field in a one-dimensional electromagnetic resonant cavity. The cavity contains a linear and lossless dielectric medium with frequency-independent polarizability. The dielectric permittivity is an externally prescribed function of both the space and the time. We also allow one of the cavity's mirrors to move in a given trajectory. Unlike other previous studies on the same system, we formulate an effective Hamiltonian so that the dynamics of the cavity field can be described in the Schr\"odinger picture. The effective Hamiltonian is quadratic in structure, therefore two-photon generation from the vacuum state can occur. We also discuss the case of resonant behavior of the system.
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Cites
Radiation from a moving mirror in two dimensional space-time: conformal anomaly
Fulling, S. A., & Davies, P. C. W. (1976) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1976.0045 · Cited by 707
Cited by
Towards quantum superpositions of a mirror
Marshall, W., Simon, C., Penrose, R., & Bouwmeester, D. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.130401 · Cited by 960
Quantum optomechanics—throwing a glance [Invited]
Aspelmeyer, M., Gröblacher, S., Hammerer, K., & Kiesel, N. (2010) · Journal of the Optical Society of America B · doi:10.1364/josab.27.00a189 · Cited by 280
Metadata
- Authors
- Law, C. K.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1994-01-01
- Volume
- 49
- Issue
- 1
- Pages
- 433-437
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2764354249
- Cited by
- 326
- References
- 1
- FWCI
- 7.08
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Effective Hamiltonian for the radiation in a cavity with a moving mirror and a time-varying dielectric medium. https://app.cochat.ai/papers/10.1103/physreva.49.433
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- Law, C. K. (1994). Effective Hamiltonian for the radiation in a cavity with a moving mirror and a time-varying dielectric medium. Physical Review A. https://doi.org/10.1103/physreva.49.433
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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