Signatures of entanglement in an optical tomogram

Abstract

We theoretically study the optical tomography of maximally entangled states generated at the output modes of a beam splitter. We consider even and odd coherent states in one of the input modes and vacuum state in the other input mode of the beam splitter. We have shown that the signatures of entanglement can be observed directly in the optical tomogram of the state, without reconstructing the density matrix of the system. Two distinct types of optical tomograms are observed in any one of the output modes of the beam splitter based on the quadrature measurement in the other output mode if the output modes are entangled. The different features shown by the optical tomograms are verified by investigating the photon number statistics of the corresponding state.

12 pages, 4 figures

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• Homodyne nonclassical area as a nonclassicality indicator
• Tomographic entanglement indicators in frequency combs and Talbot carpets
• Positive energy density leads to no squeezing
• Signatures of nonclassical effects in tomograms
• An investigation of nonclassical properties of light using an optical tomogram
• Tomographic entanglement indicators from NMR experiments
• Janus-faced tomograms and retrieval of quadrature moments for $q$-deformed states