Magnon statistical properties in multiphoton-catalyzed optomagnonics

Generating magnon states with the nonclassical behavior is a key step of implementing quantum magnonic technologies for applications. We proposed a strategy of magnonic state production by using the conditional measurement, derived from the jointed action of a cavity optomagnonics device and a beam splitter. At the case of the quantum catalysis applying to the optical field of optomagnonic system, the characters of yielding catalyzed state rely not only upon the parameters of optomechanic system but also upon the catalysis photon number and the beam splitter angle. We theoretically create a kind of the catalyzed photon-magnon entangled state and examine the statistical properties of the magnon mode of two mode optomagnonic states in the fields of the mean magnon number, the magnon number distribution, the Mandel Q parameter, the second-order autocorrelation function and the Wigner function. We demonstrate that the sub-Poisson distribution, the antibunching effect and the Wigner function negativity in the magnons can be realized via multiphoton catalysis. We also find that the magnon nonclassical statistical feature may be regulated by adjusting parameters of photon catalysis. Our work will provide a good reference for producing magnonic nonclassical state.