Simultaneous parametric generation and up-conversion of entangled optical images
- Moscow State University (Russian Federation)
A quantum theory of parametric amplification and frequency conversion of an optical image in coupled nonlinear optical processes that include one parametric amplification process at high-frequency pumping and two up-conversion processes in the same pump field is developed. The field momentum operator that takes into account the diffraction and group velocities of the waves is used to derive the quantum equations related to the spatial dynamics of the images during the interaction. An optical scheme for the amplification and conversion of a close image is considered. The mean photon number density and signal-to-noise ratio are calculated in the fixed-pump-field approximation for images at various frequencies. It has been established that the signal-to-noise ratio decreases with increasing interaction length in the amplified image and increases in the images at the generated frequencies, tending to asymptotic values for all interacting waves. The variance of the difference of the numbers of photons is calculated for various pairs of frequencies. The quantum entanglement of the optical images formed in a high-frequency pump field is shown to be converted to higher frequencies during the generation of sum frequencies. Thus, two pairs of entangled optical images are produced in the process considered.
- OSTI ID:
- 21443487
- Journal Information:
- Journal of Experimental and Theoretical Physics, Vol. 111, Issue 1; Other Information: DOI: 10.1134/S1063776110070022; Copyright (c) 2010 Pleiades Publishing, Ltd.; ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
AMPLIFICATION
APPROXIMATIONS
ASYMPTOTIC SOLUTIONS
CONVERSION
DIFFRACTION
IMAGES
NONLINEAR OPTICS
PHOTONS
PUMPING
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUANTUM STATES
SIGNAL-TO-NOISE RATIO
BOSONS
CALCULATION METHODS
COHERENT SCATTERING
DIMENSIONLESS NUMBERS
ELEMENTARY PARTICLES
MASSLESS PARTICLES
MATHEMATICAL SOLUTIONS
MECHANICS
OPTICS
SCATTERING