Nonclassicality generated by repeatedly operating photon annihilation-then-creation and creation-then-annihilation on squeezed vacuum

We theoretically examine nonclassical properties of the field states generated by repeatedly applying photon annihilation-then-creation operation (AC) and creation-then-annihilation operation (CA) to the squeezed vacuum (SV). We firstly derive their normalization factors and then compare their statistical properties, such as photon number distribution, mean photon number, Mandel Q parameter, and the Wigner function. It is found that the ACSV can present more clear nonclassicality than the CASV.