FOCK STATES GENERATION IN A KICKED CAVITY WITH A NONLINEAR MEDIUM

We discuss a model of a cavity filled with a passive nonlinear 'Kerr' medium and periodically kicked by a series of ultra-short laser pulses . The nonlinear medium is described by the (2q - 1)th nonlinearity chi ((2q-1)). We find analytical formulas describing the field states insi de the cavity. We show that such a system can produce, depending on th e order of the nonlinearity, superpositions of several Fock states wit h the small photon numbers (0,1;0,1,2; etc). In particular, the one-ph oton slate can be approached during the evolution of the system with c hi((3)) nonlinearity provided the cavity losses are negligible. The pu rity of states generated in this process, however, can be seriously de graded by the cavity damping. We perform numerical calculations to val idate our analytical results.