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International Journal of Theoretical Physics

, Volume 55, Issue 7, pp 3164–3172 | Cite as

Expectation Value Theorem for Thermo Vacuum States of Optical Chaotic Field and Negative-Binomial Field

  • Zhi-Long Wan
  • Hong-Yi Fan
Article

Abstract

For the density operator (mixed state) describing chaotic light and negative-binomial field there exist the corresponding thermal vacuum state (pure state) in the real-fictitious space. Using the method of integration within ordered product of operators we find the expectation value theorem in these two thermo vacuum states respectively. The thermal average theorem of translation operator is also deduced. Application of the new thermo vacuum state in calculating photon number disturibution and fluctuation and thermal average is presented.

Keywords

Expectation value theorem Chaotic field Negative binomial optical field Thermo vacuum state Integration method within ordered product of operators 

Notes

Acknowledgments

This work is supported by the National Natural Science Foundation of China(Grant Nos. 11175113 and 11574295).

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

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

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