### Abstract

We show that a model for the collective atomic recoil laser, previously introduced to include collisions with an external buffer gas, can be reduced to a single dynamical equation for the probe amplitude. This is the result of a clever adiabatic elimination of the atomic variables and of the assumption of a negligible effect of the probe field onto the atomic motion. This reduced model provides a fairly accurate description of the phase diagram of the original set of equations and allows for the investigation of more realistic regimes, where the direct simulation of the full model would be otherwise unfeasible. As a result, we find that the onset of a coherent field can be either described by a second- or first-order transition, the former scenario being observable only below a given temperature. Moreover, the first-order transition is accompanied by an intrinsic optical bistability region.

Original language | English |
---|---|

Article number | 033405 |

Number of pages | 13 |

Journal | Physical Review A |

Volume | 68 |

Issue number | 3 |

DOIs | |

Publication status | Published - Sep 2003 |

### Keywords

- pump-probe spectroscopy
- gas laser amplifier
- velocity-changing collisions
- induced resonances
- spontaneous emission
- optical frequencies
- monochromatic-field
- standing-wave
- 2-level atom
- sodium vapour

### Cite this

*Physical Review A*,

*68*(3), [033405]. https://doi.org/10.1103/PhysRevA.68.033405

**Reduced model for the description of radiation-matter interaction including atomic recoil.** / Javaloyes, J ; Lippi, G L ; Politi, A .

Research output: Contribution to journal › Article

*Physical Review A*, vol. 68, no. 3, 033405. https://doi.org/10.1103/PhysRevA.68.033405

}

TY - JOUR

T1 - Reduced model for the description of radiation-matter interaction including atomic recoil

AU - Javaloyes, J

AU - Lippi, G L

AU - Politi, A

PY - 2003/9

Y1 - 2003/9

N2 - We show that a model for the collective atomic recoil laser, previously introduced to include collisions with an external buffer gas, can be reduced to a single dynamical equation for the probe amplitude. This is the result of a clever adiabatic elimination of the atomic variables and of the assumption of a negligible effect of the probe field onto the atomic motion. This reduced model provides a fairly accurate description of the phase diagram of the original set of equations and allows for the investigation of more realistic regimes, where the direct simulation of the full model would be otherwise unfeasible. As a result, we find that the onset of a coherent field can be either described by a second- or first-order transition, the former scenario being observable only below a given temperature. Moreover, the first-order transition is accompanied by an intrinsic optical bistability region.

AB - We show that a model for the collective atomic recoil laser, previously introduced to include collisions with an external buffer gas, can be reduced to a single dynamical equation for the probe amplitude. This is the result of a clever adiabatic elimination of the atomic variables and of the assumption of a negligible effect of the probe field onto the atomic motion. This reduced model provides a fairly accurate description of the phase diagram of the original set of equations and allows for the investigation of more realistic regimes, where the direct simulation of the full model would be otherwise unfeasible. As a result, we find that the onset of a coherent field can be either described by a second- or first-order transition, the former scenario being observable only below a given temperature. Moreover, the first-order transition is accompanied by an intrinsic optical bistability region.

KW - pump-probe spectroscopy

KW - gas laser amplifier

KW - velocity-changing collisions

KW - induced resonances

KW - spontaneous emission

KW - optical frequencies

KW - monochromatic-field

KW - standing-wave

KW - 2-level atom

KW - sodium vapour

U2 - 10.1103/PhysRevA.68.033405

DO - 10.1103/PhysRevA.68.033405

M3 - Article

VL - 68

JO - Physical Review A

JF - Physical Review A

SN - 1050-2947

IS - 3

M1 - 033405

ER -