Spectral Analysis of a Four Mode Cluster State¹

S. L. W. Midgley^{a, b} and M. K. Olsen^a

^a School of Mathematics and Physics, University of Queensland, QLD 4 072, Australia

^b Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom

Received February 10, 2012; published online June 12, 2012

Abstract—We theoretically evaluate the squeezed joint operators produced in a single optical parametric oscil-
lator which generates quadripartite entangled outputs, as demonstrated experimentally by Pysher et al. [1] .
Using a linearized fluctuation analysis we calculate the squeezing of the joint quadrature operators below
threshold for a range of local oscillator phases and frequencies. These results add to the existing theoretical
understanding of this potentially important system.

DOI: 10.1134/S1054660X12070092

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