SQUEEZED FLUCTUATIONS OF TRUNCATED PHOTON OPERATORS

We study squeezed fluctuations of the electromagnetic field in the N-p hoton sectors of the photon Hilbert space. For each N sector, a trunca ted boson algebra of photon operators is constructed in an embedded N + 1 sector. An explicit construction of quantum states of light leadin g to maximum noise reduction is presented. An analytic expression for the minimum variance of squeezed fluctuations and the corresponding ph oton statistics are derived in the arbitrary N sector. A very accurate , approximate formula for the minimum variance is also given.