2006
DOI: 10.1103/physrevstab.9.090701
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Quantum regime of free electron lasers starting from noise

Abstract: We investigate the quantum regime of a high-gain free-electron laser starting from noise. In the first part, we neglect the radiation propagation and we formulate a quantum linear theory of the N-particle free-electron laser Hamiltonian model, quantizing both the radiation field and the electron motion. Quantum effects such as frequency shift, line narrowing, quantum limitation for bunching and energy spread, and minimum uncertainty states are described. Using a second-quantization formalism, we demonstrate qu… Show more

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Cited by 59 publications
(92 citation statements)
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“…However, despite the high photon energy the selected 2 GeV kinetic energy of the electrons is much higher and the fractional energy loss from recoil with the FEL photons becomes negligible. The quantum FEL parameter, defined by the ratio of the final momentum spread of the electron beam at saturation and the photon momentum recoil [38,39] serves as a guide for possible FEL operation in the quantum regime:…”
Section: B Conditions From the One-dimensional Fel Modelmentioning
confidence: 99%
“…However, despite the high photon energy the selected 2 GeV kinetic energy of the electrons is much higher and the fractional energy loss from recoil with the FEL photons becomes negligible. The quantum FEL parameter, defined by the ratio of the final momentum spread of the electron beam at saturation and the photon momentum recoil [38,39] serves as a guide for possible FEL operation in the quantum regime:…”
Section: B Conditions From the One-dimensional Fel Modelmentioning
confidence: 99%
“…The result is a single narrow-line spectrum that is Fourierlimited by the electron-beam duration, i.e., ∆ω/ω λ/L b . 6,7 This means that a QFEL operating in theÅngstrom region with an electron-bunch length L b = 1mm could generate radiation with a relative linewidth of 10 −7 , much smaller than the envelope linewidth 2ρ of the classical SASE spectrum (typically of order 10 −3 ).…”
mentioning
confidence: 99%
“…The classical analysis is valid only for 1 >> ρ , whereas for 1 < ρ the quantum effects dominate [3,4]. In particular, in the quantum Self Amplified Spontaneous Emission (SASE) mode operation, the quantum purification of the radiation spectrum has been predicted [3,4], i.e.…”
Section: Introductionmentioning
confidence: 99%
“…The classical analysis is valid only for 1 >> ρ , whereas for 1 < ρ the quantum effects dominate [3,4]. In particular, in the quantum Self Amplified Spontaneous Emission (SASE) mode operation, the quantum purification of the radiation spectrum has been predicted [3,4], i.e. the broad and chaotic spectrum predicted in the classical SASE [5] and observed experimentally [6] shrinks to a very narrow spectrum when the photons of a counter-propagating high power laser, with a frequency up-shifted by a factor 4γ 2 .…”
Section: Introductionmentioning
confidence: 99%