Quantum regime of free electron lasers starting from noise

R. Bonifacio, N. Piovella, G.R.M. Robb, A. Schiavi

Research output: Contribution to journalArticle

46 Citations (Scopus)

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 quantum entanglement between the recoiling electrons and the radiation field. In the second part, we describe the field classically but we include propagation effects (i.e. slippage) and we demonstrate the novel regime of quantum SASE with high temporal coherence and discrete spectrum. Furthermore, we describe "quantum purification'' of SASE: the classical chaotic spiking behavior disappears and the spectrum becomes a series of discrete very narrow lines which correspond to transitions between discrete momentum eigenstates ( which originate high temporal coherence).

Original languageEnglish
Article number090701
Number of pages9
JournalPhysical Review Special Topics: Accelerators and Beams
Volume9
Issue number9
DOIs
Publication statusPublished - Sep 2006

Fingerprint

free electron lasers
radiation distribution
spiking
recoilings
propagation
bunching
high gain
purification
frequency shift
eigenvectors
electrons
formalism
momentum
radiation
energy

Keywords

  • free electron lasers
  • noise
  • electron motion

Cite this

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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 quantum entanglement between the recoiling electrons and the radiation field. In the second part, we describe the field classically but we include propagation effects (i.e. slippage) and we demonstrate the novel regime of quantum SASE with high temporal coherence and discrete spectrum. Furthermore, we describe {"}quantum purification'' of SASE: the classical chaotic spiking behavior disappears and the spectrum becomes a series of discrete very narrow lines which correspond to transitions between discrete momentum eigenstates ( which originate high temporal coherence).",
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Quantum regime of free electron lasers starting from noise. / Bonifacio, R.; Piovella, N.; Robb, G.R.M.; Schiavi, A.

In: Physical Review Special Topics: Accelerators and Beams, Vol. 9, No. 9, 090701, 09.2006.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Quantum regime of free electron lasers starting from noise

AU - Bonifacio, R.

AU - Piovella, N.

AU - Robb, G.R.M.

AU - Schiavi, A.

PY - 2006/9

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AB - 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 quantum entanglement between the recoiling electrons and the radiation field. In the second part, we describe the field classically but we include propagation effects (i.e. slippage) and we demonstrate the novel regime of quantum SASE with high temporal coherence and discrete spectrum. Furthermore, we describe "quantum purification'' of SASE: the classical chaotic spiking behavior disappears and the spectrum becomes a series of discrete very narrow lines which correspond to transitions between discrete momentum eigenstates ( which originate high temporal coherence).

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KW - noise

KW - electron motion

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