Theory of biphoton generation in a single-resonant optical parametric oscillator far below threshold

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 2, 2008, Pages

  Herzog, Ulrike ^a   Scholz, Matthias ^a   Benson, Oliver ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION THEORY; ELECTROMAGNETIC WAVE POLARIZATION; OPTICAL BEAM SPLITTERS; QUANTUM ENTANGLEMENT;

BIPHOTON GENERATION; CLASSICAL PUMPS; FREQUENCY ENTANGLEMENT;

PHOTONS;

EID: 40749092011     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.023826     Document Type: Article

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26. For completeness, we state the formal result N2 = |α| 2 2Ï€I / [I I (0)] which follows with the help of Eqs. 2.19 3.7 3.9. The delta function arises since a 0| b (ω) b†(ω) |0a © =I (0) because of Eq. 2.8. Note that I â' 0.
27. In a typical experiment, the relevant parameters are given by I a 0.1†MHz, I a 10†MHz, Î"ωa 1†GHz, and | Ï.,0 | a' 1 a 150†GHz.
28. Since a mathematically exact treatment of the discontinuity is physically irrelevant, we replace the value of the integral in the second line of Eq. 4.10 by the value of the third line.