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Density Operators for Coherent Fields
Abstract
We study the forms which the conditions for coherence impose upon the density operators for electromagnetic fields. All fields possessing first-order coherence, we show, may be regarded as ones in which only a single mode is excited; this mode need not, however, be a monochromatic one. The higher order coherence conditions may be regarded as specifying certain moments of the distribution of the number of photons in the single excited mode. Full coherence, in particular, is shown to require that the number of photons present follow a Poisson distribution. The class of fields which possess full coherence is shown to be larger than the class of eigenstates of the annihilation operators. The unique character of the eigenstates, on the other hand, is demonstrated by means of a number of simple theorems.
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Cited by
Linear optical quantum computing with photonic qubits
Kok, P., Munro, W. J., Nemoto, K., Ralph, T. C., Dowling, J. P., & Milburn, G. J. (2007) · Reviews of Modern Physics · doi:10.1103/revmodphys.79.135 · Cited by 2,904
Two-photon coherent states of the radiation field
Yuen, H. P. (1976) · Physical Review A · doi:10.1103/physreva.13.2226 · Cited by 2,074
Continuous-variable optical quantum-state tomography
Lvovsky, A. I., & Raymer, M. G. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.299 · Cited by 1,123
Yuen, H., & Shapiro, J. (1980) · IEEE Transactions on Information Theory · doi:10.1109/tit.1980.1056132 · Cited by 639
Modes and states in quantum optics
Fabre, C., & Treps, N. (2020) · Reviews of Modern Physics · doi:10.1103/revmodphys.92.035005 · Cited by 312
Metadata
- Authors
- Titulaer, U. M., & Glauber, R. J.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1966-05-27
- Volume
- 145
- Issue
- 4
- Pages
- 1041-1050
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2034347132
- Cited by
- 286
- References
- 0
- FWCI
- 3.18
- Type
- journal article
- Language
- en
- Open access
- closed
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