# Glauber-Sudarshan P-representation

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Glauber-Sudarshan P-representation

The Glauber-Sudarshan P-representation is a way of writing down the state of any type of light using the coherent states as a basis. It was developed by George Sudarshan and later adopted by Roy J. Glauber (see the references below). It was the subject of a controversy when Glauber was awarded a share of the 2005 Nobel Prize in Physics for his work in this field and Sudarshan's contribution was not recognized.

In this representation, the density matrix is written as:

:$widehat\left\{ ho\right\} = int varphi\left(alpha\right) |\left\{alpha\right\} angle langle \left\{alpha\right\}| d^\left\{2\right\}alpha,,$

where $scriptstyle|alpha angle,$ are the coherent states and $scriptstylevarphi\left(alpha\right) ,$ is a quasi-probability distribution.

ee also

*Nonclassical light
*Wigner quasi-probability distribution
*Husimi Q representation

References

*E. C. G. Sudarshan, Phys. Rev. Letters 10, 277 (1963)
*Roy J. Glauber, Physical Review 131, 2766 (1963)

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