Entanglement Potential Versus Negativity of Wigner Function for SUP-Operated Quantum States

We construct a distinct category of nonclassical quantum states by applying a superposition of products (SUP) of field annihilation (\(\hat {a}\)) and creation (\(\hat {a}^{\dagger }\)) operators of the type (\(s\hat {a}\hat {a}^{\dagger }+t\hat {a}^{\dagger }\hat {a}\)), with \(s^{2}+t^{2}=1\), upon thermal and even coherent states. We allow these SUP operated states to undergo a decoherence process and then describe the nonclassical features of the resulted field by using the entanglement potential (EP) and the negativity of the Wigner distribution function. Our analysis reveals that both the measures are reduced in the linear loss process. The partial negativity of the Wigner function disappears when losses exceed 50% but EP exists always.