Analysis of entropy of XY Spin Chain
Quantum Physics
2007-10-04 v1 Statistical Mechanics
High Energy Physics - Theory
Abstract
Entanglement in the ground state of the XY model on the infinite chain can be measured by the von Neumann entropy of a block of neighboring spins. We study a double scaling limit: the size of the block is much larger then 1 but much smaller then the length of the whole chain. In this limit, the entropy of the block approaches a constant. The limiting entropy is a function of the anisotropy and of the magnetic field. The entropy reaches minima at product states and increases boundlessly at phase transitions.
Keywords
Cite
@article{arxiv.quant-ph/0606240,
title = {Analysis of entropy of XY Spin Chain},
author = {F. Franchini and A. R. Its and B. -Q. Jin and V. E. Korepin},
journal= {arXiv preprint arXiv:quant-ph/0606240},
year = {2007}
}
Comments
6 pages, 1 figure