Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929462403137536 |
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| author | Abdul-Rahman, Houssam Sims, Robert Stolz, Günter |
| author_facet | Abdul-Rahman, Houssam Sims, Robert Stolz, Günter |
| contents | 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 $ε$-Rényi entanglement entropy $ε\in(0,1)$. Our methods result in a logarithmically corrected area law for the entanglement of eigenstates, corresponding to one excitation, of the disordered harmonic oscillator systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05527 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems Abdul-Rahman, Houssam Sims, Robert Stolz, Günter Mathematical Physics Spectral Theory Quantum Physics 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 $ε$-Rényi entanglement entropy $ε\in(0,1)$. Our methods result in a logarithmically corrected area law for the entanglement of eigenstates, corresponding to one excitation, of the disordered harmonic oscillator systems. |
| title | Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems |
| topic | Mathematical Physics Spectral Theory Quantum Physics |
| url | https://arxiv.org/abs/2404.05527 |