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arXiv · 2404.05527

Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems

Houssam Abdul-Rahman·Robert Sims·Günter Stolz
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Abstract

We provide an analytic method for estimating the entanglement of the non-gaussian energy eigenstates of disordered harmonic oscillator systems. We invoke the explicit formulas of the eigenstates of the oscillator systems to establish bounds for their $\epsilon$-R\'enyi entanglement entropy $\epsilon\in(0,1)$. Our methods result in a logarithmically corrected area law for the entanglement of eigenstates, corresponding to one excitation, of the disordered harmonic oscillator systems.

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Houssam Abdul-Rahman, Robert Sims, Günter Stolz. 2024-04-08. Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems. https://arxiv.org/abs/2404.05527

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