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Entanglement entropy of two disjoint blocks in critical Ising models · Around

2009

Entanglement entropy of two disjoint blocks in critical Ising models

Alba, Vincenzo, Tagliacozzo, Luca, Calabrese, Pasquale

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We study the scaling of the Renyi and entanglement entropy of two disjoint blocks of critical Ising models, as function of their sizes and separations.

We present analytic results based on conformal field theory that are quantitatively checked in numerical simulations of both the quantum spin chain and the classical two dimensional Ising model.
Theoretical results match the ones obtained from numerical simulations only after taking properly into account the corrections induced by the finite length of the blocks to their leading scaling behavior.

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The TTN naturally encodes the RG ideas. Tensors are organized in layers corresponding to different length scales [ 19 ] . This makes it particularly suited for finite size studies. Indeed, passing from a smaller system to a bigger one only requires the optimization of a single tensor on the top of the network corresponding to the new length scale

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