A quantum model for collective recoil lasing

R. Bonifacio, M.M. Cola, N. Piovella, G.R.M. Robb

Research output: Contribution to journalArticle

34 Citations (Scopus)

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 Schrodinger equation coupled to a self-consistent radiation field. The model depends on a single collective parameter (rho;) over bar. which represents the maximum number of photons emitted per particle. We demonstrate that the classical model is recovered in the limit (rho;) over bar much greater than 1, in which the Wigner function associated to the Schrodinger equation obeys to the classical Vlasov equation. On the contrary, for (rho;) over bar less than or equal to 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.
Original languageEnglish
Pages (from-to)55-60
Number of pages6
JournalEPL: A Letters Journal Exploring the Frontiers of Physics
Volume69
Issue number1
DOIs
Publication statusPublished - 1 Jan 2005

Fingerprint

lasing
radiation distribution
vlasov equations
particle motion
free electron lasers
photons
lasers

Keywords

  • accelerators
  • electromagnetism
  • beams
  • optics
  • free-electron lasers

Cite this

Bonifacio, R. ; Cola, M.M. ; Piovella, N. ; Robb, G.R.M. / A quantum model for collective recoil lasing. In: EPL: A Letters Journal Exploring the Frontiers of Physics. 2005 ; Vol. 69, No. 1. pp. 55-60.
@article{a176d1a5497b407a888eb5a8ceb95e50,
title = "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 Schrodinger equation coupled to a self-consistent radiation field. The model depends on a single collective parameter (rho;) over bar. which represents the maximum number of photons emitted per particle. We demonstrate that the classical model is recovered in the limit (rho;) over bar much greater than 1, in which the Wigner function associated to the Schrodinger equation obeys to the classical Vlasov equation. On the contrary, for (rho;) over bar less than or equal to 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.",
keywords = "accelerators, electromagnetism, beams, optics, free-electron lasers",
author = "R. Bonifacio and M.M. Cola and N. Piovella and G.R.M. Robb",
year = "2005",
month = "1",
day = "1",
doi = "10.1209/epl/i2004-10308-1",
language = "English",
volume = "69",
pages = "55--60",
journal = "EPL: A Letters Journal Exploring the Frontiers of Physics",
issn = "0295-5075",
number = "1",

}

A quantum model for collective recoil lasing. / Bonifacio, R.; Cola, M.M.; Piovella, N.; Robb, G.R.M.

In: EPL: A Letters Journal Exploring the Frontiers of Physics, Vol. 69, No. 1, 01.01.2005, p. 55-60.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A quantum model for collective recoil lasing

AU - Bonifacio, R.

AU - Cola, M.M.

AU - Piovella, N.

AU - Robb, G.R.M.

PY - 2005/1/1

Y1 - 2005/1/1

N2 - 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 Schrodinger equation coupled to a self-consistent radiation field. The model depends on a single collective parameter (rho;) over bar. which represents the maximum number of photons emitted per particle. We demonstrate that the classical model is recovered in the limit (rho;) over bar much greater than 1, in which the Wigner function associated to the Schrodinger equation obeys to the classical Vlasov equation. On the contrary, for (rho;) over bar less than or equal to 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.

AB - 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 Schrodinger equation coupled to a self-consistent radiation field. The model depends on a single collective parameter (rho;) over bar. which represents the maximum number of photons emitted per particle. We demonstrate that the classical model is recovered in the limit (rho;) over bar much greater than 1, in which the Wigner function associated to the Schrodinger equation obeys to the classical Vlasov equation. On the contrary, for (rho;) over bar less than or equal to 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.

KW - accelerators

KW - electromagnetism

KW - beams

KW - optics

KW - free-electron lasers

U2 - 10.1209/epl/i2004-10308-1

DO - 10.1209/epl/i2004-10308-1

M3 - Article

VL - 69

SP - 55

EP - 60

JO - EPL: A Letters Journal Exploring the Frontiers of Physics

JF - EPL: A Letters Journal Exploring the Frontiers of Physics

SN - 0295-5075

IS - 1

ER -