Preparation and properties of a non-classical state by quantum catalysis and two-mode squeezing

In this work, we propose a scheme for generating non-classical quantum catalyzed states, named Laguerre polynomial-weighted squeezed states, via inputting a single-mode squeezed vacuum state and an m-photon Fock state by quantum catalysis and two-mode squeezing. The non-classical properties of the generated catalyzed state are investigated using the degree of squeezing and Wigner function. It is found that these non-classical properties, including squeezing degree and the negativity of the Wigner function, can be improved and modulated by both squeezing parameters and the catalyzed photon number.