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arXiv · 1410.6658

Schmidt modes in the angular spectrum of bright squeezed vacuum

Polina R. Sharapova·Angela M. Perez·Olga V. Tikhonova·Maria V. Chekhova
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Abstract

We study the spatial properties of high-gain parametric down-conversion (PDC). From the Hamiltonian we find the Schmidt modes, apply the Bloch-Messiah reduction, and calculate analytically the measurable quantities, such as the angular distributions of photon numbers and photon-number correlations. Our approach shows that the Schmidt modes of PDC radiation can be considered the same as for the low-gain (biphoton) case while the Schmidt eigenvalues strongly depend on the parametric gain. Its validity is confirmed by comparison with several experimental results, obtained by us and by other groups.

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Polina R. Sharapova, Angela M. Perez, Olga V. Tikhonova, Maria V. Chekhova. 2014-10-24. Schmidt modes in the angular spectrum of bright squeezed vacuum. https://doi.org/10.1103/physreva.91.043816

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