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Dynamical Properties of the Superposition of Two Finite Trio Coherent States
Mathematics Department, Faculty of Science, Hail University, Hail City, Saudi Arabia
Mathematics Department, Faculty of Science, Al-Azher University, Cairo, Egypt
Department of Mathematics and Theoretical Physics, Nuclear Research Centre, Atomic Energy Authority, Cairo, Egypt
- 1 Mathematics Department, Faculty of Science, Hail University, Hail City, Saudi Arabia
- 2 Mathematics Department, Faculty of Science, Al-Azher University, Cairo, Egypt
- 3 Department of Mathematics and Theoretical Physics, Nuclear Research Centre, Atomic Energy Authority, Cairo, Egypt
Journal of Quantum Information Science·Volume 09 (2019)·Pages 98–109·Published 8 March 2019·DOI10.4236/jqis.2019.91005
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Abstract
In this contribution we study a superposition of two finite dimensional trio coherent states (FTCS). The state is regarded as a correlated three-mode state in finite dimensional bases. The framework of Pegg and Barnett formalism, and the phase distribution in addition to the Poissonian distribution are examined. It is shown that the eigenvalue of the difference of the photon number (the q -parameter) is responsible for the non-classical phenomenon. Furthermore, the quasi-probability distribution functions (the Wigner and Q -functions) are also discussed. In this case and for the Wigner function the non-classical behavior is only reported for the odd values of the q -parameter.
KeywordsEntropy SqueezingAtomic Wehrl EntropyMarginal Atomic <i>Q</i>-Function
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