It is shown that the field emitted by a free-electron laser (FEL) in the low-gain regime exhibits antibunching over a wide range, for an initial Poisson distribution of probability amplitudes. We also investigate the variance of the momentum coordinate, and find the FEL state to be squeezed.
Starting from an initial state with an electron energy p02/2m+\ensuremath{\Elzxh}${\mathrm{\ensuremath{\omega}}}_{\mathit{c}}$/2, a vacuum-laser field, and a coherent wiggler field, I discuss photon statistics in a free-electron laser with an axial-guide magnetic field. It is found that the axial field can weaken the squeezing, enhance the positive (for \ensuremath{\theta}>0) and negative (for \ensuremath{\theta}0) gain, and strengthen the bunching (for \ensuremath{\theta}>0) and antibunching (for \ensuremath{\theta}0).
We discuss the problem of photon quantum statistics of a single particle Free Electron Laser (FEL) amplifier in the small-signal cold beam regime to first order in the electron quantum recoil. The initial radiation wave is an arbitrary coherent state. We show that Glauber coherence is not preserved by the FEL interaction if the initial coherent state is not the vacuum even if we neglect the electron quantum recoil (absence of gain). We evaluate the first two moments of the final photon distribution and find sub (super)-poissonian photo statistics for negative (positive) resonance parameter.