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

• URL: http://arxiv.org/abs/2404.05527v2
• Date: Mon, 19 Aug 2024 11:23:14 GMT
• Title: Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems
• Authors: Houssam Abdul-Rahman, Robert Sims, Günter Stolz,
• Abstract summary: We invoke the explicit formulas of the eigenstates of the oscillator systems to establish bounds for their entanglement entropy. Our methods result in a logarithmically corrected area law for the entanglement of eigenstates, corresponding to one excitation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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