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Multi-Headed Symmetrical Superpositions of Coherent States

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Abstract

Based on N different coherent states with equal weights and phase-space rotation symmetry, we introduce N-headed incoherent superposition states (NHICSSs) and N-headed coherent superposition states (NHCSSs). These N coherent states are associated with N-order roots of the same complex number. We study and compare properties of NHICSSs and NHCSSs, including average photon number, Mandel Q parameter, quadrature squeezing, Fock matrix elements and Wigner function. The main characteristic of this study is to use the same complex number to express the related states that appear in a large number of literatures.

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Acknowledgements

This project was supported by the National Natural Science Foundation of China (No.11665013).

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  1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, 330022, China

    Bo Lan & Xue-xiang Xu

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  1. Bo Lan
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  2. Xue-xiang Xu
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Correspondence to Xue-xiang Xu.

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Lan, B., Xu, Xx. Multi-Headed Symmetrical Superpositions of Coherent States. Int J Theor Phys 61, 148 (2022). https://doi.org/10.1007/s10773-022-05134-6

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  • DOI: https://doi.org/10.1007/s10773-022-05134-6

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