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Aharonov-Anandan Phase in the Degenerate Parametric Amplifier |
QIAN Tiezheng;XU Jingbo;GAO Xiaochun |
Department of Physics, Zhejiang University, Hangzhou 310027 |
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Cite this article: |
QIAN Tiezheng, XU Jingbo, GAO Xiaochun 1991 Chin. Phys. Lett. 8 499-502 |
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Abstract As a non-adiabatic generalization of a recent work of Gerry, the manifestation of the Aharonov-Anandan phase in the degenerate parametric amplifier of quantum optics is discussed by making use of the Lewis-Riesenfeld quantum theory. We find the Lewis invariant for the system and study its evolution. The Aharonov-Anandan phase is then calculated and the connection between the Aharonov-Anandan phase difference and the average photon-number of the output field is obtained. Finally, the observable effect of the phase difference is investigated.
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Keywords:
03.65.-w
42.50.-p
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Published: 01 October 1991
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