Squeezing by stimulated Compton scattering

Kee Choon Yeong

Boris Ya Zel'dovich, Nikolai F. Pilipetsky, Vladimir V. Shkunov

Ching Tsung Lee

The stimulated Compton scattering of photons between two oppositely propagating coherent lights by a relativistic electron moving along the same line is studied analytically. The system is described in a moving frame so that the electron becomes nonrelativistic and the frequencies of the two lights coincide. Except for the replacement of the static wiggler by a propagating light, our system is essentially the same as a free-electron laser working in the Compton regime and described in the usual Bambini-Renieri frame. The Q representation of two-mode coherent states is adopted to describe the radiation fields, and the electron states are expressed in terms of plane waves. A perturbative solution, with the quantum recoil of the electron as the perturbation parameter, of the time evolution of the system is carried out far beyond the first order. It demonstrates that two nonclassical effects, i.e., squeezing and photon antibunching, occur as results of the scattering. It also confirms once more the fact that quantum recoils play the exclusive role in generating such nonclassical photon states. A very important improvement in the present treatment is that the electron part of the density matrix is traced out before the calculation of the squeezing effect. As a result, it is found that there is no squeezing if the initial state is a vacuum. This is, perhaps, a significant new discovery. Many-electron effects are ignored in the present study.

Hari Prakash, Pankaj Kumar

유승협

Zhang Xiao-Fu

Using the nonlinear quantum theory and revised Schr(?)dinger equation,the influences of the multi-photon nonlinear Compton scattering on the propagation of the soliton squeezed state in the fiber are studied,and the squeezing ratio of the soliton propagation is given out.The results show that near the ideal first-order soliton,the scattering can make the smallest soliton squeezed ratio with the increase of the soliton pulse amplitude,that is to say the larger soliton squeezed state can be gotten.With the increase of the loss,the squeezed degree of the squeezed state slowly decreases.When the loss is same,the transmission distance to get the smallest soliton squeezed ratio is shorter than that before the scattering with the increase of the soliton pulse amplitude.