Measuring nonclassicality in spin-1 state

Abstract:

Coherent states were first proposed by Klauder and Sudarshan in 1960. Based on this, many classical and nonclassical measures of light have been introduced. In 1971, Radcliffe proposed atomic coherent state, but the nonclassical measures based on atomic coherent state are still seldom studies. In this paper, by using the characteristics of the atomic spin coherent states, we introduce a method to measure nonclassicality and discuss some properties of this measure. For example, the invariance under the action of rotation operator and the nonclassicality of pure state. Some computational examples, such as cat state, NOON state and mixed states are given. This measure is only discussed in the spin-1 system. These results will have certain significance for exploring the measurement of quantum nonclassicality and quantum resource theory. It will also play a positive role in utilizing nonclassicality measure in the laboratories.