Nonclassical properties and entanglement of non-Gaussian entangled states generated via multiple-photon subtraction on two-mode squeezed coherent states

Abstract

We investigate how the photon-subtraction operation affects the quantum optical nonclassicalities and the entanglement of photon-subtracted two-mode squeezed coherent states (PS-TMSCS). For such non-Gaussian entangled states, the normalization factor and Mandel Q parameter, as well as, the quantity of the Hillery–Zubairy inequality are analytically derived, and they are all periodic functions of the compound phase χ=ϕ1+ϕ2−θ involved in the TMSCS. We show that the fields in such states exhibit remarkable sub-Poissonian photon statistics, especially at the optimal phase χ=0. The Wigner function of the PS-TMSCS is modulated by a factor which is related to two-variable Hermite polynomials. And the shape of the Wigner function is phase-sensitive, which is different from that of the TMSCS. As characterized by the Hillery–Zubairy entanglement criterion, we show that the quantity of Hillery–Zubairy E gets more negative not only for a larger value of r but also for greater values of photon subtraction numbers (m, n) at the optimal compound phase=0.