Expectation Value Theorem for Thermo Vacuum States of Optical Chaotic Field and Negative-Binomial Field
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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.
KeywordsExpectation value theorem Chaotic field Negative binomial optical field Thermo vacuum state Integration method within ordered product of operators
This work is supported by the National Natural Science Foundation of China(Grant Nos. 11175113 and 11574295).
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