Abstract
We study the nondegenerate two-photon down conversion described by a quantum trilinear Hamiltonian. The idler mode is initially prepared in the vacuum while the pump (laser) and the signal mode are prepared in coherent states which at high intensities resemble classical inputs. Such setup with a coherent signal mode allows us to scan the dynamics from the regime of the down conversion (empty signal) up to the frequency conversion (highly excited signal). The analysis concentrates on the entanglement properties of the modes which are compared with their other statistical properties such as squeezing and antibunching to give a more complete characterization of the modes. We show that the single mode nonclassical effects (squeezing and antibunching) disappear when an initial signal intensity highly exceeds that of the pump. In this regime the numerical results are confirmed by approximate analytical calculations. We point out that initially comparable intensities of the signal and pump mode lead to the effect of the “spontaneous disentanglement” of the signal mode from others and to the production of its squeezed and sub-Poissonian state which is pure to a good approximation.
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On leave from: Institute of Physics, Slovak Acad. Sci., Dúbravská cesta 9, 842 28 Bratislava, Slovakia.
This work was supported in part by the Grant Agency of the Slovak Acad. Sci. Grant No. GA SAV 2/999143/93. We thank Dr. V. Bužek for stimulating discussion. The financial support from the Max-Planck Society for one of us (I.J.) is acknowledged.
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Drobný, G., Jex, I. Nondegenerate two-photon down conversion: Coherent inputs and nonclassical effects. Czech J Phys 44, 827–842 (1994). https://doi.org/10.1007/BF01787791
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DOI: https://doi.org/10.1007/BF01787791