“…The realization of the nonclassical states has become an interesting and important research topic in quantum information science, with potential applications in quantum communication [1], quantum metrology [2], quantum lithography [3], quantum spectroscopy [4,5], and quantum biology [6,7]. Recently, the generation of n-quanta states has been studied theoretically in multilevel atomic systems [8][9][10][11][12][13][14][15][16][17], Rydberg atomic ensembles [18,19], cavity quantum electrodynamics (QED) systems [20][21][22][23][24][25][26][27][28][29], circuit QED systems [30], waveguide QED systems [31][32][33], Kerr cavity systems [34,35], and cavity optomechanical systems [36].…”