Theoretical analysis is given of nonclassicality and decoherence of the field states generated by adding any number of photons to the squeezed thermal state (STS). Based on the fact that the squeezed number state can be considered as a single-variable Hermite polynomial excited state, the compact expression of the normalization factor is derived, a Legendre polynomial. The nonclassicality is investigated by exploring the sub-Poissonian and negative Wigner function (WF). The results show that the WF of single-photon–added STS (PASTS) always has negative values at the phase space center. The decoherence effect on PASTS is examined by the analytical expression of WF. It is found that a longer threshold value of decay time than in single-photon–subtraction STS is included in single PASTS.
© 2012 Optical Society of America
Original Manuscript: November 22, 2011
Revised Manuscript: January 6, 2012
Manuscript Accepted: January 10, 2012
Published: March 2, 2012
Li-Yun Hu and Zhi-Ming Zhang, "Nonclassicality and decoherence of photon-added squeezed thermal state in thermal environment," J. Opt. Soc. Am. B 29, 529-537 (2012)