Monday, April 16, 2012

1201.5927 (Raul A. Santos et al.)

Entanglement spectra of q-deformed higher spin VBS states    [PDF]

Raul A. Santos, Francis N. C. Paraan, Vladimir E. Korepin, Andreas Klümper
We calculate the reduced density matrix of a block of integer spin-S's in a q-deformed valence-bond-solid (VBS) state. This matrix is diagonalized exactly for an infinitely long block in an infinitely long chain. We construct an effective Hamiltonian with the same spectrum as the logarithm of the density matrix. We also derive analytic expressions for the von Neumann and R\'enyi entanglement entropies. For blocks of finite length, we calculate the eigenvalues of the reduced density matrix by perturbation theory and numerical diagonalization. These results enable us to describe the effects of finite-size corrections on the entanglement spectrum and entropy in this generalized VBS model.
View original: http://arxiv.org/abs/1201.5927

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