A useful way to obtain the central charge of entanglement Hamiltonian -- Nested entanglement entropy

Abstract

In this paper, we review how to obtain the central charge of a critical entanglement Hamiltonian through the nested entanglement entropy which was first introduced in [J. Lou et al. PRB 84, 245128 (2011)]. The critical phenomena of the entanglement Hamiltonian can be identified by the central charge obtained by the nested entanglement entropy. We review our previous studies[J. Lou et al. PRB 84, 245128 (2011), S. Tanaka et al. PRA 87, 214401 (2013)] in which we investigated certain entanglement nature of two-dimensional valence-bond-solid (VBS) state and quantum hard-square models on square and triangle ladders using the nested entanglement entropy.

5 pages, 3 figures, to appear in Interdisciplinary Information Sciences

References in corpus (4)

• Entanglement spectrum and boundary theories with projected entangled-pair states
• Exact Analysis of Entanglement in Gapped Quantum Spin Chains
• Topological Order and Degenerate Singular Value Spectrum in Two-Dimensional Dimerized Quantum Heisenberg Model
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Cited by in corpus (1)

• On integrable matrix product operators with bond dimension $D=4$