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      Bloch-Messiah reduction for twin beams of light

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          Abstract

          We study the Bloch-Messiah reduction of parametric downconversion of light in the pulsed regime with a nondegenerate phase matching providing generation of twin beams. We find that in this case every squeezing eigenvalue has multiplicity at least two. We discuss the problem of ambiguity in the definition of the squeezing eigenmodes in this case and develop two approaches to unique determination of the latter. First, we show that the modal functions of the squeezing eigenmodes can be tailored from the Schmidt modes of the signal and idler beams. Alternatively, they can be found as a solution of an eigenvalue problem for an associated Hermitian squeezing matrix. We illustrate the developed theory by an example of frequency non-degenerate collinear twin beams generated in beta barium borate crystal. We show how the multiplicity of the eigenvalues and the structure of the eigenmodes are changed when the phase matching approaches the degeneracy in frequency.

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          Schmidt decompositions of parametric processes I Basic theory and simple examples

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            Intense spectrally broad-band twin beams from poled nonlinear crystals

            Jan Perina (2018)
            Properties of intense twin beams generated in parametric down-conversion in periodically poled LiNbO3 crystals and their chirped variants by intense pump fields are analyzed along the model of intense parametric down-conversion that allows for pump depletion and uses the dual spatio-spectral Schmidt modes. Spectral and spatial intensity auto- and cross-correlation functions are determined as they depend on the pump power. Temporal correlations in intense twin beams at the fs time scale are investigated using the Hong-Ou-Mandel interferometer and the process of sum-frequency generation.
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              Author and article information

              Journal
              15 March 2019
              Article
              1903.06578
              a7c4e477-a3a7-40b3-87e7-fec15733e4d0

              http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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              Custom metadata
              18 pages, 9 figures, 1 theorem
              quant-ph

              Quantum physics & Field theory
              Quantum physics & Field theory

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