We investigate the nonclassical properties of multiple-photon-added displaced squeezed thermal states (PADSTSs). Particularly, we study the dependence of those nonclassical properties on the compound phase ϕ−θ/2 involved in squeezing and displacement parameters. We find that the Mandel Q parameter, the quadrature squeezing, the negative volume of the Wigner function, and the fidelity between PADSTSs and displaced squeezed thermal states (DSTSs) are all periodic functions of ϕ−θ/2 with a period π. Without considering the displacement parameter, these quantities are all phase independent. Finally, we investigate the non-Gaussianity of PADSTSs according to the fidelity between PADSTSs and DSTSs and find that non-Gaussianity and nonclassicality have similar behavior. Thus, the non-Gaussianity induced by the photon-addition operation is essentially nonclassical.
© 2012 Optical Society of America
Original Manuscript: April 10, 2012
Manuscript Accepted: May 2, 2012
Published: June 15, 2012
Shuai Wang and Hong-yi Fan, "Phase-sensitive nonclassical properties of photon-added displaced squeezed thermal states," J. Opt. Soc. Am. B 29, 1672-1679 (2012)