1205.5036 (Curtis T. Asplund)

Holographic entanglement entropy beyond coherent states    [PDF]

Curtis T. Asplund

We study entanglement entropy for a class of states in quantum field theory that are superpositions of coherent states with well-separated supports. We find contributions beyond the usual area law. In the case of strongly-coupled conformal field theories, we argue that these states are holographically dual to superpositions of bulk geometries. We conclude that for these states one can use the Ryu-Takayanagi holographic entanglement entropy formula to calculate some terms in the entanglement entropy, but that there can be additional $O(N^{2})$ contributions. We argue that this class of states includes those generated by local quenches and thus that these cannot be described by a classical dual geometry. These considerations may be important for more fine grained treatments of holographic thermalization.

View original: http://arxiv.org/abs/1205.5036