Quasi-probability distributions and decoherence of Hermite-excited squeezed thermal states

Higher-order nonclassical effects generated by multiple-photon annihilation-then-creation and creation-then-annihilation coherent states

“…[1] However, with rapid development in the area of quantum information theory, the de-Gaussification process has attracted much interest in order to overcome the limitations of Guassian light fields. De-Gaussification [2][3][4] can be realized in a simple manner by adding (subtracting) photons to (from) a Gaussian field and the resulting states are known to exhibit non-classical properties such as sub-Poissonian statistics, [5] higher-order squeezing, [6] antibunching, [7] and negativity of Wigner function. [8] The photon-added coherent state (PACS), first proposed by Agarwal and Tara, [9] was obtained by repeated application of the photon creation operator to the coherent state (CS) and exhibited highly nonclassical properties.…”

Generating Hermite polynomial excited squeezed states by means of conditional measurements on a beam splitter

“…Recently, Lee and Nha [23] proposed a coherent superposition of photon addition and subtraction, ta + ra † (|t| 2 + |r| 2 = 1) acting on a coherent state and a thermal state. More recently, we investigated the nonclassical properties of optical fields generated by Hermite-excited coherent state [24] and Hermite-excited squeezed thermal states [25].…”

Synthesis of Hermite polynomial excited squeezed vacuum states from two separate single-mode squeezed vacuum states

“…Ren et al [24] and Wang et al [25] investigated the nonclassical properties of optical fields generated by Hermite-excited coherent state and Hermite-excited squeezed thermal states, respectively. Our group also introduced a Hermite polynomial excitation squeezed vacuum and investigated its nonclassical properties [26].…”