### Abstract

The concept of a two-photon coherent state is introduced for applications in quantum optics. It is a simple generalization of the well-known minimum-uncertainty wave packets. The detailed properties of two-photon coherent states are developed and distinguished from ordinary coherent states. These two-photon coherent states are mathematically generated from coherent states through unitary operators associated with quadratic Hamiltonians. Physically they are the radiation states of ideal two-photon lasers operating far above threshold, according to the self-consistent-field approximation. The mean-square quantum noise behavior of these states, which is basically the same as those of minimum-uncertainty states, leads to applications not obtainable from coherent states or one-photon lasers. The essential behavior of two-photon coherent states is unchanged by small losses in the system. The counting rates or distributions these states generate in photocount experiments also reveal their difference from coherent states.

Original language | English (US) |
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Pages (from-to) | 2226-2243 |

Number of pages | 18 |

Journal | Physical Review A |

Volume | 13 |

Issue number | 6 |

DOIs | |

State | Published - Jan 1 1976 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A*,

*13*(6), 2226-2243. https://doi.org/10.1103/PhysRevA.13.2226

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*Physical Review A*, vol. 13, no. 6, pp. 2226-2243. https://doi.org/10.1103/PhysRevA.13.2226

**Two-photon coherent states of the radiation field.** / Yuen, Horace P.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Two-photon coherent states of the radiation field

AU - Yuen, Horace P.

PY - 1976/1/1

Y1 - 1976/1/1

N2 - The concept of a two-photon coherent state is introduced for applications in quantum optics. It is a simple generalization of the well-known minimum-uncertainty wave packets. The detailed properties of two-photon coherent states are developed and distinguished from ordinary coherent states. These two-photon coherent states are mathematically generated from coherent states through unitary operators associated with quadratic Hamiltonians. Physically they are the radiation states of ideal two-photon lasers operating far above threshold, according to the self-consistent-field approximation. The mean-square quantum noise behavior of these states, which is basically the same as those of minimum-uncertainty states, leads to applications not obtainable from coherent states or one-photon lasers. The essential behavior of two-photon coherent states is unchanged by small losses in the system. The counting rates or distributions these states generate in photocount experiments also reveal their difference from coherent states.

AB - The concept of a two-photon coherent state is introduced for applications in quantum optics. It is a simple generalization of the well-known minimum-uncertainty wave packets. The detailed properties of two-photon coherent states are developed and distinguished from ordinary coherent states. These two-photon coherent states are mathematically generated from coherent states through unitary operators associated with quadratic Hamiltonians. Physically they are the radiation states of ideal two-photon lasers operating far above threshold, according to the self-consistent-field approximation. The mean-square quantum noise behavior of these states, which is basically the same as those of minimum-uncertainty states, leads to applications not obtainable from coherent states or one-photon lasers. The essential behavior of two-photon coherent states is unchanged by small losses in the system. The counting rates or distributions these states generate in photocount experiments also reveal their difference from coherent states.

UR - http://www.scopus.com/inward/record.url?scp=24244441257&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24244441257&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.13.2226

DO - 10.1103/PhysRevA.13.2226

M3 - Article

AN - SCOPUS:24244441257

VL - 13

SP - 2226

EP - 2243

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 6

ER -