量子振荡器系统单激发能量特征状态的纠缠边界

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-09-25 DOI:10.1007/s11005-024-01863-3

Houssam Abdul-Rahman, Robert Sims, Günter Stolz

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引用次数: 0

摘要

我们提供了一种分析方法来估计无序谐波振荡器系统的非高斯能量特征状态的纠缠。我们引用振荡器系统特征状态的明确公式来建立它们的（\epsilon \）-雷尼纠缠熵（\epsilon \ in (0,1)\）的边界。我们的方法为无序谐振子系统中对应于一个激励的特征状态的纠缠提供了一个对数校正面积定律。

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

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 \(\epsilon \)-Rényi 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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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.