Entropic relations for indistinguishable quantum particles

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 u...

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Bibliographic Details
Published in:Journal of statistical mechanics 2024-04, Vol.2024 (4), p.43101
Main Author: Lemm, Marius
Format: Article
Language:English
Subjects:
entanglement entropies
entanglement in extended quantum systems
quantum information
rigorous results in statistical mechanics
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Summary: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.
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/ad343a