A quantum model for collective recoil lasing

Abstract

Free Electron Laser (FEL) and Collective Atomic Recoil Laser (CARL) are described by the same model of classical equations for properly defined scaled variables. These equations are extended to the quantum domain describing the particle's motion by a Schrödinger equation coupled to a self-consistent radiation field. The model depends on a single collective parameter $\bar{\rho }$ which represents the maximum number of photons emitted per particle. We demonstrate that the classical model is recovered in the limit $\bar{\rho }\gg 1$, in which the Wigner function associated to the Schrödinger equation obeys to the classical Vlasov equation. On the contrary, for $\bar{\rho }\le 1$, a new quantum regime is obtained in which both FELs and CARLs behave as a two-state system coupled to the self-consistent radiation field and described by Maxwell-Bloch equations.

References in corpus (4)

• Amplification of light and atoms in a Bose--Einstein condensate
• Quantum optics of a Bose-Einstein condensate coupled to a quantized light field
• Quantum effects in the collective light scattering by coherent atomic recoil in a Bose-Einstein condensate
• Superradiant light scattering from a moving Bose-Einstein condensate

Cited by in corpus (11)

• Quantum theory of SASE FEL
• Relativistic X-Ray Free Electron Lasers in the Quantum Regime
• Realizing Quantum free-electron lasers: A critical analysis of experimental challenges and theoretical limits
• Superradiant emission of a thermal atomic beam into an optical cavity
• Quantum and classical phase-space dynamics of a free-electron laser
• Attoscience in Phase Space
• An extended model of the quantum free-electron laser
• Monolithic bowtie cavity traps for ultra-cold gases
• Gamma-ray free-electron lasers: Quantum fluid model
• Orbital angular momentum of a $\pi$-pulse emission by dense relativistic cold electron beam
• A Quantum Fluid Description of the Free Electron Laser