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 an ensemble defines 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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Research Article| March 20 2018
Entanglement of a class of non-Gaussian states in disordered harmonic oscillator systems
Houssam Abdul-Rahman; Entanglement of a class of non-Gaussian states in disordered harmonic oscillator systems. J. Math. Phys. 1 March 2018; 59 (3): 031904. https://doi.org/10.1063/1.5000708
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