2005
DOI: 10.1209/epl/i2004-10308-1
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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 selfconsistent radiation field. The model depends on a single collective parameterρ which represents the maximum number of photons emitted per particle. We demonstrate that the classical model is recovered in the limitρ ≫ 1, in wh… Show more

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Cited by 43 publications
(65 citation statements)
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“…(17) to reach its mini- mum value. However, there exist states that minimize one of the two uncertainty relations (15) and (16). These minimum uncertainty states are solutions of the equation [11,12] @ @ sin i ; (20) which have the form…”
Section: Uncertainty Relationsmentioning
confidence: 99%
“…(17) to reach its mini- mum value. However, there exist states that minimize one of the two uncertainty relations (15) and (16). These minimum uncertainty states are solutions of the equation [11,12] @ @ sin i ; (20) which have the form…”
Section: Uncertainty Relationsmentioning
confidence: 99%
“…Possible interesting extensions to the analysis described here include investigations of inhomogeneous initial conditions beyond the assumed spatially uniform state examined here, the possibility of coupled atomic/optical solitonic states, and the viability of exploiting the chaotic regime as the basis of new methods for coherent BEC transport. Extending these investigations from Fabry-Pérot to ring cavities offers the prospect of interesting connections with other dynamical behaviours and instabilities involving light and BECs, e.g., Collective Atomic Recoil Lasing (CARL) [28][29][30].…”
Section: Resultsmentioning
confidence: 99%
“…In a QFEL theory [1,13] the electrons' system can be described by the Liouville-Von Neumann equation qR=qz ¼ i½Ĥ;R for the electron density operatorr, where in the 1D limit the Hamiltonian operator is [14] H 1D ðzÞ ¼p 2 2r 3=2 À i½Aðz; z 1 Þe iŷ À A Ã ðz; z 1 Þe Àiŷ .…”
Section: D Qfel Wigner Modelmentioning
confidence: 99%
“…Recently it has been shown that an X-ray Free-Electron laser (FEL) in the self-amplified spontaneous emission (SASE) mode can operate in a quantum regime [1] in which the coherence of the emitted radiation can be largely increased [2,3] with respect to the conventional FEL sources [4][5][6]. The transition from the classical FEL to the Quantum FEL (QFEL) occurs whenro1, wherē r ¼ rðmcg r =_k r Þ [1] and r is the FEL parameter [7].…”
Section: Introductionmentioning
confidence: 99%
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