On-chip generation of photon-added two-mode squeezed thermal states of light

Zhongjie Wang, Xu Fang

Heng-Mei Li, Hong‐Chun Yuan, Zhi-Long Wan +1 more

Harry J. Kimble, Robert J. Brecha, Luis A. Orozco +3 more

Liyun Hu, Fang Jia, Zhi‐Ming Zhang

We introduce a kind of entangled state—a photon-addition two-mode squeezed thermal state (TMSTS)—by adding photons to each mode of the TMSTS. Using the P-representation of thermal state, the compact expression of the normalization factor is derived, a Jacobi polynomial. The nonclassicality is investigated by exploring especially the negativity of Wigner function. The entanglement is discussed by using Shchukin–Vogel criteria. It is shown that the photon addition to the TMSTS may be more effective for the entanglement enhancement than the photon subtraction from the TMSTS. In addition, the quantum teleportation is also examined, which shows that symmetrical photon-added TMSTS may be more useful for quantum teleportation than the nonsymmetric case.

Liyun Hu, Shuai Wang, Zhiming Zhang

Using the entangled state representation, we convert a two-mode squeezed number state to a Hermite polynomial excited squeezed vacuum state. We first analytically derive the photon number distribution of the two-mode squeezed thermal states. It is found that it is a Jacobi polynomial; a remarkable result. This result can be directly applied to obtaining the photon number distribution of non-Gaussian states generated by subtracting from (adding to) two-mode squeezed thermal states.

Jacques Arnaud