SQUEEZING PROPERTIES OF COTANGENT STATES PRODUCED IN A MULTIPHOTON MICROMASER

The generation of steady state higher-order squeezing in the sense of Hong and Mandel [Phys. Rev. Lett. 54 (1985) 323; Phys. Rev. A 32 (1985 ) 974] and also of Hillery [Phys. Rev. A 36 (1987) 3796] in a multipho ton micromaser with a lossless cavity is investigated. The results sho w that the cotangent state which can be generated by the coherent trap ping scheme in a multiphoton micromaser can exhibit not only second-or der squeezing but also fourth-order and squared field amplitude squeez ing. The influence of the atoms' time distance randomness and the cavi ty loss on squeezing is briefly discussed.