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arXiv · 1707.07063

Entanglement of a class of non-Gaussian states in disordered harmonic oscillator systems

Houssam Abdul-Rahman
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Abstract

For disordered harmonic oscillator systems over the $d$-dimensional lattice, we consider the problem of finding the bipartite entanglement of the uniform ensemble of the energy eigenstates associated with a particular number of modes. Such ensemble define a class of mixed, non-Gaussian entangled states that are labeled, by the energy of the system, in an increasing order. We develop a novel approach to find the exact logarithmic negativity of this class of states. We also prove entanglement bounds and demonstrate that the low energy states follow an area law.

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Houssam Abdul-Rahman. 2017-07-21. Entanglement of a class of non-Gaussian states in disordered harmonic oscillator systems. https://doi.org/10.1063/1.5000708

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