Author: Preiss, P.
Paper Title Page
MOPD32 Theory of the Quantum FEL in a Nutshell 93
 
  • P. Preiss, R. Sauerbrey
    HZDR, Dresden, Germany
  • R. Endrich, E.A. Giese, P. Kling, M. Knobl, W.P. Schleich
    Uni Ulm, Ulm, Germany
  • S.M. Zubairy
    Texas A&M University, College Station, Texas, USA
 
  New developments in accelerator and laser physics raise hope for the so-called QFEL, a free-electron laser operating in the quantum mechanical regime. We develop a fully quantized single-particle theory describing the dynamics of the interaction between the electron, the wiggler and the laser field. In the quantum mechanical regime the dynamics are reminiscent of the standard laser theory with a two-level atom. Indeed, we find oscillations between two entangled states - where the entanglement appears between the electron momentum state and the Fock states of the laser and wiggler field. Compared to a two-level system with one internal degree of freedom (e.g. an atom with a ground and one excited state) the state of our system is mainly determined by the momentum of the electron in the co-moving Bambini-Renieri frame. In contrast to the classical regime here the electron propagating through the wiggler field can only emit or absorb a single laser photon. Transitions including the emission or absorption of many photons are substantially much suppressed.