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Physical Review A

Photon statistics and squeezing of a free-electron laser for an initial Bose-Einstein distribution and for an initial nearly pure state

Suranjana Rai, Jagdish Rai, S. Chopra

Published Apr 1, 1987• 4 citations
Publisher

Abstract

We investigate numerically the photon statistics and squeezing properties of the free-electron laser. In one model we assume the initial distribution of photons to be thermal (Bose-Einstein distribution). Our results for this model indicate no photon antibunching. We obtain similar results for another model, where we have started from an initial distribution which is nearly a pure state (the \ensuremath{\alpha}-\ensuremath{\beta} model). However, both these models exhibit squeezing.

DOI
10.1103/physreva.35.2957

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Comment on ‘‘Photon antibunching in a free-electron laser’’

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In a recent paper of Lee [Phys. Rev. A 31, 1213 (1985)], it was stated that the photon-number distribution in a free-electron laser is always sub-Poissonian. This statement is clearly in contradiction with well-known published results. We show that in the recoilless approximation the photon statistics is Poissonian. However, for electron recoil different from zero, the photon-number distribution presents bunching (antibunching) for positive (negative) detuning parameter.

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Comment on photon antibunching in a free-electron laser. Technical report No. 49, 1 October 1985-30 December 1986

G. Dattoli, Juan Carlos Gallardo, Alberto Renieri +1 more

A recent paper stated that the photon-number distribution in a free-electron laser is always sub-Poissonian. This statement is clearly in contradiction with well-known published results. In the recoilless approximation the photon statistics is Poissonian. However, for electron recoil different from zero, the photon-number distribution presents bunching (anti-bunching) for positive (negative) detuning parameter.

•Nov 1, 1985•0 citations
We investigate numerically the photon statistics and squeezing properties of the free-electron laser. In one model we assume the initial distribution of photons to be thermal (Bose-Einstein distribution). Our results for this model indicate no photon antibunching. We obtain similar results for another model, where we have started from an initial distribution which is nearly a pure state (the \ensuremath{\alpha}-\ensuremath{\beta} model). However, both these models exhibit squeezing.
Starting from an initial state with an electron energy p02{\mathit{p}}_{0}^{2}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).