Research On Phase-sensitive Nonclassical Properties Of States Generated Via A Coherent Superposition Of Photon Subtraction And Addition

It is an important method to create a new quantum state which uses the coherent operation of photon subtraction and addition. The new quantum states which are gotten through the coherent operation of photon subtraction and addition always may be the non-Gaussian states with nonclassical properties, which play an impor-tant effect on quantum information transmission and process. In this paper, we select a state function which is an universal representative state that does not have even or odd parity since it has a phase angle (|φ)= N0-1/2(|α0)-eθ|-α0))), firstly. Then we use coherent operation of photon subtraction and addition to operate the new state for one time and two times, respectively. And then we get the new states’ functions, respectively. Secondly we study the every quantum state’s nonclassical proper-ties from three respects:Mandel’s Q parameter, Quadrature squeezing properties, Wigner function(and its negative volume), and obtain the conditions which make the quantum states be adjusted to the strongest nonclassical states. At the last, we will find out the laws of the change of the state function’s nonclassical properties and point out the best or worst situation of the state function’s nonclassical properties when θ=0 (Schrodinger odd states with odd parity)or θ≠ 0 (Schrodinger cat states without even or odd parity) by comparing one time photon subtraction and addition operation and two times.