### Abstract

The subtraction or addition of a prescribed number of photons to a field mode does not, in general, simply shift the probability distribution by the number of subtracted or added photons. Subtraction of a photon from an initial coherent state, for example, leaves the photon statistics unchanged and the same process applied to an initial thermal state increases the mean photon number. We present a detailed analysis of the effects of the initial photon statistics on those of the state from which the photons have been subtracted or to which they have been added. Our approach is based on two closely related moment-generating functions, one that is well established and one that we introduce.

Language | English |
---|---|

Article number | 013809 |

Number of pages | 13 |

Journal | Physical Review A |

Volume | 98 |

Issue number | 1 |

DOIs | |

Publication status | Published - 5 Jul 2018 |

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### Keywords

- photon addition
- photon subtraction
- radiation fields

### Cite this

*Physical Review A*,

*98*(1), [013809]. https://doi.org/10.1103/PhysRevA.98.013809

}

*Physical Review A*, vol. 98, no. 1, 013809. https://doi.org/10.1103/PhysRevA.98.013809

**Statistics of photon-subtracted and photon-added states.** / Barnett, Stephen M.; Ferenczi, Gergely; Gilson, Claire R.; Speirits, Fiona C.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Statistics of photon-subtracted and photon-added states

AU - Barnett, Stephen M.

AU - Ferenczi, Gergely

AU - Gilson, Claire R.

AU - Speirits, Fiona C.

PY - 2018/7/5

Y1 - 2018/7/5

N2 - The subtraction or addition of a prescribed number of photons to a field mode does not, in general, simply shift the probability distribution by the number of subtracted or added photons. Subtraction of a photon from an initial coherent state, for example, leaves the photon statistics unchanged and the same process applied to an initial thermal state increases the mean photon number. We present a detailed analysis of the effects of the initial photon statistics on those of the state from which the photons have been subtracted or to which they have been added. Our approach is based on two closely related moment-generating functions, one that is well established and one that we introduce.

AB - The subtraction or addition of a prescribed number of photons to a field mode does not, in general, simply shift the probability distribution by the number of subtracted or added photons. Subtraction of a photon from an initial coherent state, for example, leaves the photon statistics unchanged and the same process applied to an initial thermal state increases the mean photon number. We present a detailed analysis of the effects of the initial photon statistics on those of the state from which the photons have been subtracted or to which they have been added. Our approach is based on two closely related moment-generating functions, one that is well established and one that we introduce.

KW - photon addition

KW - photon subtraction

KW - radiation fields

UR - http://www.scopus.com/inward/record.url?scp=85049854677&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.98.013809

DO - 10.1103/PhysRevA.98.013809

M3 - Article

VL - 98

JO - Physical Review A - Atomic, Molecular, and Optical Physics

T2 - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 1

M1 - 013809

ER -