Statistical properties of radiation fields in a four wave mixing process

Partha Sarathi Gupta, Dilip Kumar Giri

M. Bertolotti, Concita Sibilia, Jan Peřina +1 more

Quantum–statistical properties of radiation are studied under conditions of a nonlinear interaction between electromagnetic interfering fields and a relativistic electron beam, as well as under degenerate four-wave mixing. Conditions for the occurrence of photon bunching and antibunching, and of squeezed states are identified.

Ravinder Nath

V. Peinová, M. Kárská

The statistical properties of nonlinear oscillators modeling dissipative forward four-wave mixing are investigated, adopting the Fokker-Planck equation approach. The photon statistics are shown to be insensitive to the nonlinearities and are formulated in terms of the superposition of coherent and chaotic fields. The only approximation in describing the squeezing properties consists in the way of including thermal noise. The effect of the initial coherent amplitudes, that of the interplay of the coupling constants, and that of the reservoir on the squeezing properties are studied. An interesting connection between the revivals of coherent amplitudes and squeezing is pointed out.

Jan Peřina, Vlasta Peřinová, C. Sibilia +1 more

Yanchao She, Xue-Jun Zheng, Denglong Wang

The time-dependent four-wave mixing (FWM) is analyzed in a four-level double semiconductor quantum well. The results show that both the amplitude and the conversion efficiency of the FWM field are enhanced with increasing the strength of two-photon Rabi frequency. Interestingly, when the one-photon detuning becomes stronger the control field corresponding to the maximum efficiency increases. Such a controlled enhanced FWM may be used to generate coherent short-wave length radiation, and it can have potential applications in quantum control and communications.