We study the photon-number distributions (PND) of non-Gaussian states generated by subtracting photons from or adding photons to a displacement squeezed thermal state (DSTS). Compared with the PND of DSTS, PND of both -photon-subtracted DSTS (PSDSTS) and -photon-added DSTS (PADSTS) are modulated by a factor that is a monotonically increasing function of , the photonnumber in the resulting non-Gaussian states. And the photon subtraction or addition essentially shifts the PND. We further demonstrate that both PND are periodic functions of the compound phase involved in complex squeezing and displacement parameters with a period and exhibit more remarkable oscillations than that of DSTS. In the case of small squeezing and weak coherence, we investigate the negativity of Mandel’s parameter and the properties of PND of both PSDSTS and PADSTS. Our results indicate that generating new photon-number-controllable nonclassical states from a squeezed light with coherent component is effective by multiple-photon subtraction or addition when .
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