Entanglement Entropy on the Cayley Tree

Yishai Schreiber; Richard Berkovits

doi:10.1088/1742-5468/2016/08/083104

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arXiv · 1504.03901

Entanglement Entropy on the Cayley Tree

Yishai Schreiber·Richard Berkovits

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Abstract

The properties of the entanglement entropy (EE) of a clean Cayley tree (CT) are studied. The EE shows a completely different behaviour depending on the way the CT is partitioned into two regions and whether we consider the ground-state or highly excited many-particle wave function. The ground-state EE increases logarithmically as function of number of generation if a single branch is pruned off the tree, while it grows exponentially if the region around the root is trimmed. On the other hand, in both cases the highly excited states' EE grows exponentially. Implications of these results to general graphs and disordered systems are shortly discussed.

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BibTeX RIS

Yishai Schreiber, Richard Berkovits. 2015-04-15. Entanglement Entropy on the Cayley Tree. https://doi.org/10.1088/1742-5468/2016/08/083104

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