Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems
- URL: http://arxiv.org/abs/2404.05527v1
- Date: Mon, 8 Apr 2024 13:51:02 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 main result is 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 main result is a logarithmically corrected area law for the entanglement of eigenstates, corresponding to one excitation, of the disordered harmonic oscillator systems.
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