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Time Evolution and Temperature Variation of the Squeezing-Chaotic Mixed Two-Mode Optical Field in One-Mode Diffusion Channel

  • Wan Zhi-LongEmail author
  • Fan Hong-Yi
  • Li Heng-Mei
  • Shen Yu-Qiao
  • Wang Zhen
Article

Abstract

In this paper we theoretically investigate how the squeezing-chaotic mixed two-mode optical field described by the density operator

$$\rho_{0}=\sec h^{2}\lambda \sec h^{2}\tau e^{a^{\dagger }b^{\dagger }\tanh \lambda }\left( \sec h^{2}\lambda \tanh^{2}\tau \right)^{a^{\dagger }a}\left\vert 0\right\rangle_{bb}\left\langle 0\right\vert e^{ab\tanh \lambda } $$
undergoes in a b-mode diffusion channel with the diffusion corfficient κ. We find that in the output state the initial b-mode vacuum |0〉bb 〈0| has evolved into the chaotic state \(\frac {1}{\kappa t + 1}e^{b^{\dagger }b\ln \frac {\kappa t}{ \kappa t + 1}},\) while the squeezing term, \(e^{a^{\dagger }b^{\dagger }\tanh \lambda }\) \(\rightarrow e^{a^{\dagger }b^{\dagger }\frac {\tanh \lambda }{ 1+\kappa t}}\), has been weakened. Measuring b-mode of this new output state leads to a chaotic field with an ascending temperature during the diffusion process, this coincides with the b-mode photon number increasing. We also show that measuring observable in a-mode is not affected by the diffusion in b-mode.

Keywords

Squeezing-chaotic mixed two-mode optical field Temperature variance Photon number Diffusion channel 

Notes

Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos.11574295 and 11447202), the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No.16KJB140001), the key project of Natural Science Foundation of the Changzhou Institute of Technology of China (Grant No.YN1630).

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mathematical Sciences and Chemical EngineeringChangzhou Institute of TechnologyChangzhouChina
  2. 2.Department of Material Science and EngineeringUniversity of Science and Technology of ChinaHeifeiChina

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