Entropic relations for indistinguishable quantum particles

被引：0
|
作者：
Lemm, Marius [1 ]
机构：
[1] Univ Tubingen, Dept Math, D-72076 Tubingen, Germany
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2024年 / 2024卷 / 04期
关键词：
entanglement entropies; entanglement in extended quantum systems; quantum information; rigorous results in statistical mechanics; 2ND-ORDER ASYMPTOTICS; ENTANGLEMENT; STATE;
D O I：
10.1088/1742-5468/ad343a
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The von Neumann entropy of a k-body-reduced density matrix gamma 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 <=(sic)N/2(sic). The results hold for indistinguishable quantum particles and are independent of the statistics.
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页数：9
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