Geometric Phase in a Two Energy Level <Emphasis Type="Italic">k</Emphasis>-Photon Jaynes-Cummings Model with Imaginary Photon Process |
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| Authors: | Xian-Ming Qin Zhao-Xian Yu Zhi-Yong Jiao and Bing-Hao Xie |
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| Institution: | (1) Department of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 400042, China;(2) Department of Physics, Beijing Information Science and Technology University, Beijing, 100192, China;(3) Department of Physics, China University of Petroleum (East China), Dongying, 257061, China |
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| Abstract: | By using the Lewis-Riesenfeld invariant theory, we have studied the dynamical phase and the geometric phase in a two energy
level k-photon Jaynes-Cummings model with imaginary photon process. We find that the geometric phase in a cycle case is independent
of the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency.
We predict the physical effect of the geometric phase in the imaginary photon process may be measured. |
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| Keywords: | Geometric phase Generalized Jaynes-Cummings model |
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