Entanglement entropy of excited states
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Publication:5220518
DOI10.1088/1742-5468/2009/10/P10020zbMATH Open1456.82216arXiv0909.1999MaRDI QIDQ5220518
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Publication date: 27 March 2020
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/0909.1999
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