Critical fermions are universal embezzlers

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Original languageEnglish
Article number14859
Pages (from-to)1141-1146
Number of pages6
JournalNature physics
Volume21
Issue number7
Early online date27 May 2025
Publication statusPublished - Jul 2025

Abstract

Universal embezzlers are bipartite quantum systems from which any entangled state may be extracted to arbitrary precision using local operations while perturbing the system arbitrarily little. Here we show that a universal embezzler can be created by bipartitioning any local, translation-invariant, critical free-fermionic many-body system on a one-dimensional lattice. The same property holds for locally interacting spin chains that are dual to the critical fermionic models by the Jordan–Wigner transformation. Furthermore, for any finite error and any targeted entangled state, a finite length of the chain is sufficient to embezzle said state within the given error. Hence, universal embezzlement is not restricted to the thermodynamic limit. As well as establishing the ubiquity of universal embezzlers in many-body physics, on a technical level, our main result establishes that the half-chain observable algebras associated with ground-state sectors of the given models are type III1 factors.

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Critical fermions are universal embezzlers. / van Luijk, Lauritz; Stottmeister, Alexander; Wilming, Henrik.
In: Nature physics, Vol. 21, No. 7, 14859, 07.2025, p. 1141-1146.

Research output: Contribution to journalArticleResearchpeer review

van Luijk L, Stottmeister A, Wilming H. Critical fermions are universal embezzlers. Nature physics. 2025 Jul;21(7):1141-1146. 14859. Epub 2025 May 27. doi: 10.1038/s41567-025-02921-w
van Luijk, Lauritz ; Stottmeister, Alexander ; Wilming, Henrik. / Critical fermions are universal embezzlers. In: Nature physics. 2025 ; Vol. 21, No. 7. pp. 1141-1146.
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