Lower Bound to the Entanglement Entropy of the XXZ Spin Ring
| Autor: | Christoph Fischbacher, Ruth Schulte |
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| Rok vydání: | 2020 |
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| DOI: | 10.48550/arxiv.2007.00735 |
| Popis: | We study the free XXZ quantum spin model defined on a ring of size $L$ and show that the bipartite entanglement entropy of eigenstates belonging to the first energy band above the vacuum ground state satisfies a logarithmically corrected area law. Along the way, we show a Combes-Thomas estimate for fiber operators which can also be applied to discrete many-particle Schr\"odinger operators on more general translation-invariant graphs. Comment: 40 pages |
| Databáze: | OpenAIRE |
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