Quantized and maximum entanglement from sublattice symmetry

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Original languageEnglish
Article number022418
JournalPhysical Review A
Volume107
Issue number2
Early online date13 Feb 2023
Publication statusPublished - Feb 2023

Abstract

We observe that the many-body eigenstates of any quadratic, fermionic Hamiltonian with sublattice symmetry have quantized entanglement entropies between the sublattices: the entanglement comes in multiple singlets. Moreover, such systems always have a ground state that is maximally entangled between the two sublattices. In fact, we also show that under the same assumptions there always exists a (potentially distinct) basis of energy eigenstates that do not conserve the particle number in which each energy eigenstate is maximally entangled between the sublattices. No additional properties, such as translation invariance, are required. We also show that the quantization of ground-state entanglement may persist when interactions are introduced.

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Quantized and maximum entanglement from sublattice symmetry. / Wilming, Henrik; Osborne, Tobias J.
In: Physical Review A, Vol. 107, No. 2, 022418, 02.2023.

Research output: Contribution to journalArticleResearchpeer review

Wilming H, Osborne TJ. Quantized and maximum entanglement from sublattice symmetry. Physical Review A. 2023 Feb;107(2):022418. Epub 2023 Feb 13. doi: 10.48550/arXiv.2112.15177, 10.1103/PhysRevA.107.022418
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