Abstract
In this paper we describe a new formalism for analyzing a particular class of nonlinear optical devices. We call these devices two-photon devices because they operate as follows: several modes of the electromagnetic field are coupled via a nonlinearity in some material; two of the modes are the device’s “signal” modes, the rest are “pump” modes; photons are created or destroyed in the signal modes two at a time. Examples include parametric amplifiers and four-wave mixers. Two-photon devices are to be contrasted with one-photon devices, such as the laser, in which photons are created or destroyed in the signal mode one at a time. The formalism used in one-photon optics uses variables and quantum states suited to describing the output of a one-photon device.
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References
R.J. Glauber, Phys. Rev. 131. 2766 (1963).
W.H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1973), esp. Chapters 3 and 6.
K.E. Cahill and R.J. Glauber, Phys. Rev. 177, 1857 (1969).
K.E. Cahill and R.J. Glauber, Phys. Rev. 177. 1882 (1969).
R.J, Glauber, Phys. Rev. Lett. 10. 84 (1963).
E.C.G. Sudarshan, Phys. Rev. Lett. 11 277 (1963)
H.P. Yuen, Phys. Rev. A 13. 2226 (1976).
C.M. Caves, Phys. Rev. D 23. 1693 (1981).
For a review of squeezed states, see D.F. Walls, Nature, in press.
H P Yuen and J.H. Shapiro, IEEE Trans. Inf. Theory IT-26, 78 (1980).
P D. Drummond and C.W. Gardiner, J. Phys. A 13, 2353 (1980).
C.M. Caves, Phys. Rev. D 26, 1817 (1982).
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Schumaker, B.L., Caves, C.M. (1984). A New Formalism for Two-Photon Quantum Optics. In: Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics V. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0605-5_107
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DOI: https://doi.org/10.1007/978-1-4757-0605-5_107
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