Abstract

We investigate the statistical properties of photon subtractions from a two-mode squeezed vacuum state and its decoherence in a thermal environment. It is found that the state can be considered as a squeezed two-variable Hermite polynomial excitation vacuum, and the normalization of this state is the Jacobi polynomial of the squeezing parameter. A compact expression for the Wigner function (WF) is also derived analytically by using the Weyl-ordered operator invariance under similar transformations. Especially, the nonclassicality is discussed in terms of the negativity of the WF. The decoherence effect on this state is then discussed by deriving the time evolution of the WF. It is shown that the WF is always positive for any squeezing parameter and any photon-subtraction number if the decay time exceeds an upper bound $(\kappa t>\frac{1}{2}\ln 2\overline{n}+2∕2\overline{n}+1)$.

© 2010 Optical Society of America

Statistical properties of photon-subtracted squeezed vacuum in thermal environment

Li-yun Hu and Hong-yi Fan
J. Opt. Soc. Am. B 25(12) 1955-1964 (2008)

Nonclassical properties of photon-added two-mode squeezed thermal states and their decoherence in the thermal channel

Xiang-guo Meng, Zhen Wang, Hong-yi Fan, Ji-suo Wang, and Zhen-shan Yang
J. Opt. Soc. Am. B 29(7) 1844-1853 (2012)

Nonclassicality and decoherence of photon-added squeezed thermal state in thermal environment

Li-Yun Hu and Zhi-Ming Zhang
J. Opt. Soc. Am. B 29(4) 529-537 (2012)

Nonclassicality and decoherence of photon-subtracted squeezed vacuum states

Xiang-guo Meng, Zhen Wang, Hong-yi Fan, and Ji-suo Wang
J. Opt. Soc. Am. B 29(11) 3141-3149 (2012)

Entanglement and nonclassicality of photon-added two-mode squeezed thermal state

Li-Yun Hu, Fang Jia, and Zhi-Ming Zhang
J. Opt. Soc. Am. B 29(6) 1456-1464 (2012)