Entanglement entropy of excited states

Details Entanglement entropy of excited states Entanglement entropy of excited states

2009-09-10

arxiv.org/abs/0909.1999v2

J.Stat.Mech.0910:P10020,2009

Physics

Condensed Matter

Statistical Mechanics

37 pages, 10 figures

Scientific paper

10.1088/1742-5468/2009/10/P10020

We study the entanglement entropy of a block of contiguous spins in excited states of spin chains. We consider the XY model in a transverse field and the XXZ Heisenberg spin-chain. For the latter, we developed a numerical application of algebraic Bethe Ansatz. We find two main classes of states with logarithmic and extensive behavior in the dimension of the block, characterized by the properties of excitations of the state. This behavior can be related to the locality properties of the Hamiltonian having a given state as ground state. We also provide several details of the finite size scaling.

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