Abstract
Touchard polynomial’s photon added squeezing vacuum state (TPASVS) is constructed by operation of Touchard polynomial’s photon added operator on the squeezing vacuum state. By virtue of the technique of integration within an ordered product of operators, we derive its normalization coefficient. And its squeezing, anti-bunching effect, sub-Poissonian statistical property and Wigner function are studied. Numerical results show that TPASVS has not the squeezing effect, but it displays the anti-bunching effect and the sub-Poissonian statistical property, while its sub-Poissonian distribution property is strengthened with the increase of squeezing parameter. In addition, the negative volume of Wigner function of TPASVS decreases with the increase of squeezing parameter, until it disappears.
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Acknowledgements
This work is supported by the Natural Science Foundation of Fujian Province of China Under Grant No.2015 J01020.
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Lu, DM. Construction of Touchard polynomial’s Photon Added Squeezing Vacuum State and its Nonclassical Properties. Int J Theor Phys 61, 48 (2022). https://doi.org/10.1007/s10773-022-04997-z
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DOI: https://doi.org/10.1007/s10773-022-04997-z