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Time evolution law of a two-mode squeezed light field passing through twin diffusion channels
Authors:Hai-Jun Yu  Hong-Yi Fan
Affiliation:1.School of Materials and Engineering, University of Science and Technology of China, Hefei 230026, China;2.School of Electronic Engineering, Huainan Normal University, Huainan 232038, China
Abstract:We explore the time evolution law of a two-mode squeezed light field (pure state) passing through twin diffusion channels, and we find that the final state is a squeezed chaotic light field (mixed state) with entanglement, which shows that even though the two channels are independent of each other, since the two modes of the initial state are entangled with each other, the final state remains entangled. Nevertheless, although the squeezing (entanglement) between the two modes is weakened after the diffusion, it is not completely removed. We also highlight the law of photon number evolution. In the calculation process used in this paper, we make full use of the summation method within the ordered product of operators and the generating function formula for two-variable Hermite polynomials.
Keywords:two-mode squeezed light field  twin diffusion channels  time evolution law  entanglement  
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