TY - JOUR

T1 - Entanglement spectra of the two-dimensional Affleck-Kennedy-Lieb-Tasaki model

T2 - Correspondence between the valence-bond-solid state and conformal field theory

AU - Lou, Jie

AU - Tanaka, Shu

AU - Katsura, Hosho

AU - Kawashima, Naoki

PY - 2011/12/27

Y1 - 2011/12/27

N2 - We investigate the entanglement properties of the valence-bond-solid (VBS) state defined on two-dimensional lattices, which is the exact ground state of the Affleck-Kennedy-Lieb-Tasaki model. It is shown that the entanglement entropy obeys an area law and the nonuniversal prefactor of the leading term is strictly less than ln2. The analysis of entanglement spectra for various lattices reveals that the reduced density matrix associated with the VBS state is closely related to a thermal density matrix of a holographic spin chain, the spectrum of which is reminiscent of that of the spin-1/2 Heisenberg chain. This correspondence is further supported by comparing the entanglement entropy in the holographic spin chain with conformal field theory predictions.

AB - We investigate the entanglement properties of the valence-bond-solid (VBS) state defined on two-dimensional lattices, which is the exact ground state of the Affleck-Kennedy-Lieb-Tasaki model. It is shown that the entanglement entropy obeys an area law and the nonuniversal prefactor of the leading term is strictly less than ln2. The analysis of entanglement spectra for various lattices reveals that the reduced density matrix associated with the VBS state is closely related to a thermal density matrix of a holographic spin chain, the spectrum of which is reminiscent of that of the spin-1/2 Heisenberg chain. This correspondence is further supported by comparing the entanglement entropy in the holographic spin chain with conformal field theory predictions.

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U2 - 10.1103/PhysRevB.84.245128

DO - 10.1103/PhysRevB.84.245128

M3 - Article

AN - SCOPUS:84855426958

SN - 1098-0121

VL - 84

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 24

M1 - 245128

ER -