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Atomic Coherent States in Quantum Optics
Abstract
For the description of an assembly of two-level atoms, atomic coherent states can be defined which have properties analogous to those of the field coherent states. The analogy is not fortuitous, but is shown to be related to the group contraction of exponential operators based on the angular momentum algebra to exponential operators based on the harmonic-oscillator algebra. The derivation of the properties of the atomic coherent states is made easier by the use of a powerful disentangling theorem for exponential angular momentum operators. A complete labeling of the atomic states is developed and many of their properties are studied. In particular it is shown that the atomic coherent states are the quantum analogs of classical dipoles, and that they can be produced by classical fields.
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Citations
Cited by
Ludlow, A. D., Boyd, M. M., Ye, J., Peik, E., & Schmidt, P. O. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.637 · Cited by 2,385
Albash, T., & Lidar, D. A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015002 · Cited by 1,546
Spin squeezing and reduced quantum noise in spectroscopy
Wineland, D. J., Bollinger, J. J., Itano, W. M., Moore, F. L., & Heinzen, D. J. (1992) · Physical Review A · doi:10.1103/physreva.46.r6797 · Cited by 1,135
Entanglement, Nonlinear Dynamics, and the Heisenberg Limit
Pezzé, L., & Smerzi, A. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.100401 · Cited by 880
Quantum projection noise: Population fluctuations in two-level systems
Itano, W. M., Bergquist, J. C., Bollinger, J. J., Gilligan, J. M., Heinzen, D. J., Moore, F. L., Raizen, M. G., & Wineland, D. J. (1993) · Physical Review A · doi:10.1103/physreva.47.3554 · Cited by 613
Metadata
- Authors
- Arecchi, F. T., Courtens, E., Gilmore, R., & Thomas, H.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1972-12-01
- Volume
- 6
- Issue
- 6
- Pages
- 2211-2237
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W3117090520
- Cited by
- 1,490
- References
- 0
- FWCI
- 13.23
- Type
- journal article
- Language
- en
- Open access
- closed
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- Arecchi, F. T., Courtens, E., Gilmore, R., & Thomas, H. (1972). Atomic Coherent States in Quantum Optics. Physical Review A. https://doi.org/10.1103/physreva.6.2211
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