Heidelberg 2015 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 31: Poster: Quantum Optics and Photonics II
Q 31.61: Poster
Tuesday, March 24, 2015, 17:00–19:00, C/Foyer
Many-electron theory of the Quantum FEL — •Peter Kling1,2, Roland Sauerbrey1, Rainer Endrich2, Enno Giese2, and Wolfgang P. Schleich2 — 1Helmholtz-Zentrum Dresden-Rossendorf, D-01314 Dresden — 2Universität Ulm, D-89069 Ulm
A free-electron laser (FEL) distinguishes itself from other light sources mainly by its wide tunability – FELs are even operating in the X-ray regime of the spectrum. However, the radiation of such an X-ray FEL has inferior properties. To improve these properties Bonifacio et al. [1] proposed to enter to a domain where quantum effects become important. In a single-electron model we have identified this “Quantum FEL” as an effective two-level system for the momentum states of the electron and have made a connection to the Jaynes-Cummings model.
We now generalize our previous results to a situation where many electrons interact simultaneously with the laser field. After developing a technique based on collective projection operators for the electrons we obtain a similar two-level behaviour as in the single-particle case. However, in the many-particle case the correct analogy to quantum optics is not the Jaynes-Cummings model but the Dicke model, where a collection of two-level atoms is interacting with a quantized radiation field. We find exponential gain of the laser field in a single pass of the electrons and start-up from vacuum. Furthermore, we calculate the first order corrections to the deep quantum regime and find the connection to the results of Bonifacio et al. [1].
0pt [1] R. Bonifacio, N. Piovella, G. R. M. Robb and A. Schiavi, Phys. Rev. ST Accel. Beams 9, 090701 (2006).