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arXiv · 2103.04809

Intersublattice entanglement entropy as an extensive property in antiferromagnets

Dion M. F. Hartmann·Jurriaan J. Wouters·Dirk Schuricht·Rembert A. Duine·Akashdeep Kamra
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Abstract

Recent advancements in our understanding of ordered magnets call for a quantification of their entanglement content on an equal footing with classical thermodynamic quantities, such as the total magnetic moment. We evaluate the entanglement entropy (EE) between the two sublattices of a bipartite ordered antiferromagnet finding it to scale with volume. Thus, the EE density becomes an intensive property and is evaluated to be a universal dimensionality-dependent constant when exchange is the dominant interaction. Our analytic results are validated against the DMRG-based analysis of a one-dimensional (1D) system, finding good agreement. Further, our evaluated EE per bond provides a useful shortcut towards obtaining the central-cut EE in 1D, and the area law in higher-dimensional magnets.

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Dion M. F. Hartmann, Jurriaan J. Wouters, Dirk Schuricht, Rembert A. Duine, Akashdeep Kamra. 2021-03-08. Intersublattice entanglement entropy as an extensive property in antiferromagnets. https://doi.org/10.1103/physrevb.104.064436

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