Two-mode photon-added entangled coherent-squeezed states: their entanglement and nonclassical properties

Recently, we introduced and generated new types of two-mode entangled states named "entangled coherent-squeezed states". In these states, two common states for quantum information processing, coherent state, and squeezed states have been used. Now, based on the generated entangled states, we introduce "two-mode photon-added entangled coherent-squeezed states". These states are obtained via the iterated action of two creation operators on the two modes of the " entangled coherent-squeezed states". Next, we study the amount of entanglement of the introduced states using concurrence criterion. In the continuation, some of the nonclassical features such as photon-statistics, second-order correlation function, and quadrature squeezing are considered. In addition, we study the influence of photon-addition of two modes on the mentioned properties of the introduced states. We will observe that the entanglement of the introduced photon-added entangled states increases more rapidly as photon-addition of two modes increases. Moreover, some of the nonclassical features for the first mode of the introduced states such as sub-Poissonian photon-statistics and squeezing in p appear and disappear by photon-addition of two modes, respectively.