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Anti-Jaynes–Cummings interaction of a two-level atom with squeezed light: photon statistics, atomic population inversion and entropy of entanglement

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Abstract

We analyse the dynamics generated by the anti-Jaynes–Cummings (AJC) Hamiltonian when a two-level atom in an initial atomic ground state couples to a single mode of squeezed coherent light and provide a juxtaposition with the Jaynes–Cummings (JC) interaction for the same initial atom–field states. In the AJC resonant atom–field interaction condition, we noted robust anti-bunching of the squeezed coherent cavity field mode within regions of strong coupling of the atom and the squeezed coherent cavity field mode. In addition, bunching of the field mode occurs when frequency detuning present in the sum frequency is raised while still in the strong coupling region. However, the field mode in the corresponding JC process still displays an immutable anti-bunching. This marked difference is driven by a non-vanishing frequency detuning parameter present during the AJC process. Further, clear enhancement of squeezing effect manifested by an increase in the degree of mixedness and ringing revivals triggered by increase of the squeeze parameter, frequency detuning and sum frequency is observed. Despite similarity in pattern of the coextensive atomic population inversion curves at resonance, the AJC process provides a longer quiescent phase, of atomic population inversion. This feature changes at the respective off-resonance conditions, where at a specified squeeze parameter, the AJC, JC processes have equal revival time.

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Acknowledgements

We thank Tom Mboya University and Maseno University for providing conducive environment to carry out this study.

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  1. Department of Physics, Tom Mboya University, C19, P.O. Box, 199-40300, Homabay, Kenya

    Christopher Mayero

  2. Department of Physics and Material Science, Maseno University, Busia Road, Private Bag-40105, Maseno, Kenya

    Christopher Mayero & Joseph Akeyo Omolo

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Christopher Mayero wrote and analysed each section of this article as presented. Joseph Akeyo Omolo developed the theoretical model applied in this article and reviewed the manuscript before submission for Journal review.

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Mayero, C., Omolo, J.A. Anti-Jaynes–Cummings interaction of a two-level atom with squeezed light: photon statistics, atomic population inversion and entropy of entanglement. Quantum Inf Process 23, 182 (2024). https://doi.org/10.1007/s11128-024-04390-1

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