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Geometric Phase in a Λ-type k-photon Jaynes-Cummings Model with Imaginary Photon Process

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Abstract

By using the Lewis–Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a generalized time-dependent Λ-type k-photon Jaynes-Cummings model with imaginary photon process. We find that the geometric phases in a cycle case are independent of the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency. If we use the more accuracy device, the geometric phases in this process may be observed, and the geometric phases in this process have the observable physical effect.

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Authors and Affiliations

  1. Department of Physics, Beijing Institute of Graphic Communication, Beijing, 102600, China

    Fu-Ping Liu

  2. Department of Physics, Beijing Information Science and Technology University, Beijing, 100085, China

    Zhao-Xian Yu

  3. Department of Physics, China University of Petroleum (East China), Dongying, 257061, China

    Zhi-Yong Jiao

  4. Department of Physics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China

    Shuo Jin

Authors
  1. Fu-Ping Liu
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  2. Zhao-Xian Yu
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  3. Zhi-Yong Jiao
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  4. Shuo Jin
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Correspondence to Zhao-Xian Yu.

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Liu, FP., Yu, ZX., Jiao, ZY. et al. Geometric Phase in a Λ-type k-photon Jaynes-Cummings Model with Imaginary Photon Process. Int J Theor Phys 48, 1341–1347 (2009). https://doi.org/10.1007/s10773-008-9905-9

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  • DOI: https://doi.org/10.1007/s10773-008-9905-9

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