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Effect of field quantization on Rabi oscillation of equidistant cascade four-level system

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Abstract

We have exactly solved a model of equidistant cascade four-level system interacting with a single-mode radiation field both semiclassically and quantum mechanically by exploiting its similarity with Jaynes-Cummings model. For the classical field, it is shown that the Rabi oscillation of the system initially in the first level (second level) is similar to that of the system when it is initially in the fourth level (third level). We then proceed to solve the quantized version of the model where the dressed state is constructed using a six-parameter four-dimensional matrix and show that the symmetry exhibited in the Rabi oscillation of the system for the semiclassical model is completely destroyed on the quantization of the cavity field. Finally, we have studied the collapse and revival of the system for the cavity field-mode in a coherent state to discuss the restoration of symmetry and its implication is discussed.

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Authors and Affiliations

  1. Department of Physics, Guru Charan College, Silchar, 788 004, India

    Mihir Ranjan Nath, Tushar Kanti Dey & Surajit Sen

  2. S N Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake City, Kolkata, 700 098, India

    Gautam Gangopadhyay

Authors
  1. Mihir Ranjan Nath
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  2. Tushar Kanti Dey
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  3. Surajit Sen
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  4. Gautam Gangopadhyay
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Correspondence to Gautam Gangopadhyay.

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Nath, M.R., Dey, T.K., Sen, S. et al. Effect of field quantization on Rabi oscillation of equidistant cascade four-level system. Pramana - J Phys 70, 141–152 (2008). https://doi.org/10.1007/s12043-008-0012-5

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  • DOI: https://doi.org/10.1007/s12043-008-0012-5

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