中国物理B ›› 2019, Vol. 28 ›› Issue (8): 84206-084206.doi: 10.1088/1674-1056/28/8/084206
• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇 下一篇
Li-Yun Hu(胡利云), Zhi-Ming Rao(饶志明), Qing-Qiang Kuang(况庆强)
Li-Yun Hu(胡利云)1,2, Zhi-Ming Rao(饶志明)1,2, Qing-Qiang Kuang(况庆强)2
摘要: Based on the Weyl expansion representation of Wigner operator and its invariant property under similar transformation, we derived the relationship between input state and output state after a unitary transformation including Wigner function and density operator. It is shown that they can be related by a transformation matrix corresponding to the unitary evolution. In addition, for any density operator going through a dissipative channel, the evolution formula of the Wigner function is also derived. As applications, we considered further the two-mode squeezed vacuum as inputs, and obtained the resulted Wigner function and density operator within normal ordering form. Our method is clear and concise, and can be easily extended to deal with other problems involved in quantum metrology, steering, and quantum information with continuous variable.
中图分类号: (Quantum optics)