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Evolution of Statistical Properties of Hybrid System Starting from Binary Field States Constructed in Experiments

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Abstract

In quantum optics, researchers usually study evolution of states starting from traditional ones: coherent, squeezed, Fock, and their superpositions. In a recent work (Ferreira et al. Int. J. Mod. Phys. B, 1850222, 2018), we discussed an example of ex- periment involving “atom”-field interaction allowing us to construct a list of field states inside a high-Q microwave cavity. The procedure employed a dispersive Hamiltonian ensuring both sub-systems to remain with only two Fock state components for all times of their evolution. The aim was to use this sequence of states having pre-selected properties as initial states in other investigations. Here, we use an updated platform and a variety of states at our disposal in the mentioned list to study the evolution of a hybrid system under the action of the Jaynes-Cummings Hamiltonian. Interesting results are obtai- ned, e.g., when we examine how the “atomic” population inversion and field statistics evolve in time from initial field states with different degrees of super- and sub-Poissonian effects. The experimental feasibility of the proposal was also discussed.

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Funding

This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001. This study received partial supports from the Brazilian funding agencies Capes, CNPq and FAPEG. Research developed with support of the High-Performance Computing Center at the Universidade Estadual de Goiás (UEG).

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal da Paraíba, 58.051-970, João Pessoa, PB, Brazil

    C. J. S. Ferreira & B. Baseia

  2. Laboratório de Modelagem Molecular Aplicada e Simulação (LAMMAS), Universidade Estadual de Goiás, BR 153, km 98, 75001-970, Anápolis, GO, Brazil

    C. Valverde

  3. Universidade Paulista, BR 153, km 7, 74845-090, Goiânia, GO, Brazil

    C. Valverde

  4. Instituto de Física, Universidade Federal de Goiás, 74.690-900, Goiânia, GO, Brazil

    B. Baseia

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  1. C. J. S. Ferreira
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  3. B. Baseia
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Correspondence to C. J. S. Ferreira.

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Ferreira, C.J.S., Valverde, C. & Baseia, B. Evolution of Statistical Properties of Hybrid System Starting from Binary Field States Constructed in Experiments. Braz J Phys 49, 173–182 (2019). https://doi.org/10.1007/s13538-019-00646-9

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