One-Photon State Generation in a Kicked Cavity with Nonlinear Kerr Medium

W. Leoński, Sigurd Dyrting, R. Tanaś

Haruka Tanji

W. Leoński, R. Tanaś

It is shown that the field in a cavity, periodically kicked with classical pulses and containing a nonlinear Kerr medium, can reach the one-photon quantum state if the amplitude of the kicks and the time between the kicks are appropriately chosen.

W. Leoński, Sigurd Dyrting, R. Tanaś

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 X (2q−1). We find analytical formulas describing the field states inside the cavity. We show that such a system can produce, depending on the order of the nonlinearity, superpositions of several Fock states with the small photon numbers (0,1; 0,1,2; etc). In particular, the one-photon state can be approached during the evolution of the system with X (3) nonlinearity provided the cavity losses are negligible. The purity of states generated in this process, however, can be seriously degraded by the cavity damping. We perform numerical calculations to validate our analytical results.

W. Leoński, R. Tanaś

We discuss a system comprising a nonlinear Kerr medium in a cavity driven by an external coherent field directly or through the parametric process. We assume that the system is initially in the vacuum state, and we show that under appropriate conditions, i.e., properly chosen detuning and intensity of the driving field, the one or two-photon Fock states of the electromagnetic field can be achieved.

Ze Cheng