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Wigner Function and Non-classicality for Oscillator Systems

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Abstract

The Schrödinger equation in phase space is used to calculate the Wigner function for oscillator systems. The first is two oscillators including dissipative effects. In this case, the non-classicality of the states is studied by the non-classicality indicator of the Wigner function, which is calculated as a function of the dissipation parameter. The second oscillator system is non-linear pendulum. Analytical results are derived and the Wigner function is analyzed.

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Funding

This work was partially supported by CNPq of Brazil.

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Authors and Affiliations

  1. International Center of Physics, Instituto de Física, Universidade de Brasília, Brasília, DF, 70910-900, Brazil

    H. Dessano, R. A. S. Paiva, R. G. G. Amorim, S. C. Ulhoa & A. E. Santana

  2. Faculdade Gama, Universidade de Brasília, Brasília, DF, 72444-240, Brazil

    R. G. G. Amorim

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  1. H. Dessano
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  2. R. A. S. Paiva
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  3. R. G. G. Amorim
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Correspondence to H. Dessano.

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Dessano, H., Paiva, R.A.S., Amorim, R.G.G. et al. Wigner Function and Non-classicality for Oscillator Systems. Braz J Phys 49, 715–725 (2019). https://doi.org/10.1007/s13538-019-00677-2

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