تقرير
Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems
| العنوان: | Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems |
|---|---|
| المؤلفون: | Abdul-Rahman, Houssam, Sims, Robert, Stolz, Günter |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Mathematical Physics Quantum Physics |
| مصطلحات موضوعية: | Mathematical Physics, Mathematics - Spectral Theory, Quantum Physics |
| الوصف: | 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. Comment: 29 pages, typos are fixed |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.05527 |
| رقم الأكسشن: | edsarx.2404.05527 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |