Entropic relations for indistinguishable quantum particles

IF 2.2 3区物理与天体物理 Q2 MECHANICS

Journal of Statistical Mechanics: Theory and Experiment Pub Date : 2024-04-09 DOI:10.1088/1742-5468/ad343a

Marius Lemm

引用次数: 0

Abstract

The von Neumann entropy of a k-body-reduced density matrix γ _k quantifies the entanglement between k quantum particles and the remaining ones. In this paper, we rigorously prove general properties of this entanglement entropy as a function of k; it is concave for all

1⩽k⩽N

and non-decreasing until the midpoint

k⩽⌊N/2⌋

. The results hold for indistinguishable quantum particles and are independent of the statistics.

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不可区分量子粒子的熵关系

一个 k 体还原密度矩阵 γk 的冯-诺依曼熵量化了 k 个量子粒子与其余粒子之间的纠缠。在本文中，我们严格证明了这种纠缠熵作为 k 的函数的一般性质；它对所有 1⩽k⩽N 都是凹的，并且在中点 k⩽⌊N/2⌋ 之前是不递减的。这些结果适用于不可区分的量子粒子，并且与统计量无关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Statistical Mechanics: Theory and Experiment 物理-力学

CiteScore

4.50

自引率

12.50%

发文量

210

审稿时长

1.0 months

期刊介绍： JSTAT is targeted to a broad community interested in different aspects of statistical physics, which are roughly defined by the fields represented in the conferences called ''Statistical Physics''. Submissions from experimentalists working on all the topics which have some ''connection to statistical physics are also strongly encouraged. The journal covers different topics which correspond to the following keyword sections. 1. Quantum statistical physics, condensed matter, integrable systems Scientific Directors: Eduardo Fradkin and Giuseppe Mussardo 2. Classical statistical mechanics, equilibrium and non-equilibrium Scientific Directors: David Mukamel, Matteo Marsili and Giuseppe Mussardo 3. Disordered systems, classical and quantum Scientific Directors: Eduardo Fradkin and Riccardo Zecchina 4. Interdisciplinary statistical mechanics Scientific Directors: Matteo Marsili and Riccardo Zecchina 5. Biological modelling and information Scientific Directors: Matteo Marsili, William Bialek and Riccardo Zecchina