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Solutions of two-mode Jaynes-Cummings models

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Abstract

A simple procedure to solve two fully quantized non-linear Jaynes-Cummings models is presented, one in which an atom interacts with a two-mode radiation field in a Raman-type process and the other involving multiphoton interaction between the two-mode field and the atom. Effect of intensity-dependent coupling between the field and the atom in both the above-mentioned cases has also been investigated. The unitary transformation method presented here not only solves the time-dependent problem but also permits a determination of the eigensolutions of the interacting Hamiltonian at the same time. Graphical features of the time dependence of the population inversion have been analysed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state.

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Authors and Affiliations

  1. University Department of Physics, Ranchi University, Ranchi, 834 008, India

    Sudha Singh

  2. Ranchi Women’s College, Ranchi, Jharkhand State, India

    Ashalata Sinha

Authors
  1. Sudha Singh
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  2. Ashalata Sinha
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Correspondence to Sudha Singh.

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Singh, S., Sinha, A. Solutions of two-mode Jaynes-Cummings models. Pramana - J Phys 70, 887–900 (2008). https://doi.org/10.1007/s12043-008-0097-x

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  • DOI: https://doi.org/10.1007/s12043-008-0097-x

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