Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems
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 ε-R\'enyi entanglement entropy ε∈(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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