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

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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.

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Acknowledgments

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

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Authors and Affiliations

  1. School of Mathematical and Chemical Industry, Changzhou Institute of Technology, Changzhou, 213002, China

    Zhi-Long Wan

  2. Department of Material Science and Engineering, University of Science and Technology of China, Heifei, 230026, China

    Zhi-Long Wan & Hong-Yi Fan

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  1. Zhi-Long Wan
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  2. Hong-Yi Fan
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Correspondence to Zhi-Long Wan.

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Wan, ZL., Fan, HY. Expectation Value Theorem for Thermo Vacuum States of Optical Chaotic Field and Negative-Binomial Field. Int J Theor Phys 55, 3164–3172 (2016). https://doi.org/10.1007/s10773-016-2946-6

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  • DOI: https://doi.org/10.1007/s10773-016-2946-6

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