Anindya Banerji, Prasanta K. Panigrahi, Ravindra Pratap Singh, Saurav Chowdhury, Abir Bandyopadhyay
We study the quadrature uncertainty of the quantum elliptical vortex (QEV) state using the associated Wigner function. Deviations from the minimum uncertainty states were observed due to the absence of the Gaussian nature. In our study of the entropy, we noticed that with increasing vorticity, entropy increases for both the modes. We further observed that, there exists an \emph{optimum value of ellipticity which gives rise to maximum entanglement} of the two modes of the QEV states. A further increase in ellipticity reduces the entropy thereby resulting in a loss of information carrying capacity. We check the validity of the entropic inequality relations, namely the \emph{subaddivity} and the \emph{Araki-Lieb inequality}. The later was satisfied only for a very small range of the ellipticity of the vortex while the former seemed to be valid at all values.
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http://arxiv.org/abs/1210.6744
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