Conventional photon blockade in a four-wave mixing system with Kerr nonlinearity

Abstract

We investigate conventional photon blockade in a non-degenerate four wave mixing system with Kerr non-linearity. By analyzing the Hamiltonian of the system, the analytic conditions for the photon blockade have been obtained. And the numerical results have been calculated by solving the master equation. We find that the analytic conditions could be consistent with the numerical results, and the photon blockade could be realized in this system. Furthermore, we discuss the effect of several parameters on the realization of conventional photon blockade in details. The results show that four wave mixing interaction and Kerr non-linearity could greatly enhance the conventional photon blockade effect, whereas the dissipation rate has a negative effect on implementing photon blockade.

The photon blockade in a three-wave mixing system coupled with a quantum dot

“…2 is detuning. Thus, the single photon blockade could be realized in this system with the optimal condition D =  + W g , 2 2 as obtained in equation (10a). there are different transition paths to reach the two-photon state of mode a, for example, the direct path, i.e., ñ | g 0, 0, 0,  ñ | g 2, 0, 0, , the path through the atom, i.e., ñ…”

“…As shown in figure 2(a), under the weak driving limit, the energy levels of the system could be found analytically from diagonalization of the Hamilton given in equation (2). The ground state is ñ | g 000 .…”

“…Photon blockade effect, firstly proposed in 1997 [1], is a phenomenon that the photon in an optical cavity blocks the entry of the next photons [2,3]. It is one of the mechanisms for yielding antibunching photons.…”