Nonclassical Properties via Subtracting Photons from Displaced Thermal States and Decoherence Evolution for Amplitude Decay

Using the integration method within an ordered product of operators, we present (anti-) normal products of the density operators of photon-subtracted displaced thermal states (PSDTSs) and their normalization factors, and investigate their nonclassical features via the photocount distribution and the negativity of Wigner distribution function. Also, we analytically and numerically investigate the time-evolution law and decoherence behaviors for amplitude decay. The results show that, for the PSDTSs, the smaller photon subtraction numbers m and thermal variance V and the appropriate displacement d can lead to the stronger nonclassicality, however the PSDTSs with large m show more robustness against decoherence because their initial negativity decreases more slowly.