Entanglement in the 1D extended anisotropic Heisenberg model
Mesoscale and Nanoscale Physics
2018-04-09 v1 Strongly Correlated Electrons
Quantum Physics
Abstract
We present a study of entanglement in the case of the 1D extended anisotropic Heisenberg model. We investigate two quantum phase transitions (QPTs) within the previously found ergodicity phase diagram [E. Plekhanov, A. Avella, and F. Mancini Phys. Rev. B \textbf{74}, 115120 (2006)]. Our calculations are done by means of the numerically exact Lanczos method at T=0, followed by a finite-size scaling. As a measure of entanglement we use the concurrence for two spins out of the system. We conclude from our studies that these QPTs are accompanied by a qualitative entanglement change.
Keywords
Cite
@article{arxiv.0705.4413,
title = {Entanglement in the 1D extended anisotropic Heisenberg model},
author = {E. Plekhanov and A. Avella and F. Mancini},
journal= {arXiv preprint arXiv:0705.4413},
year = {2018}
}
Comments
2 pages, 3 figures, presented at SCES'07 Houston, May 2007