Quantum Information approach to the Ising model
Abstract
We present detailed analytical calculations for an 1D Ising ring of arbitrary number of spin-1/2 particles, in order to reveal entanglement properties of the stationary states. We show that the ground state and specific eigenstates of the Ising Hamiltonian posses remarkable entanglement properties that can reveal new insight into quantum correlations present in the Ising model. This correlations might be exploited in quantum information processing. We propose an intuitive picture of the behaviour of multipartite entanglement and discuss a relation of our results to some aspects of phase transitions in the Ising model.
Cite
@article{arxiv.quant-ph/0312154,
title = {Quantum Information approach to the Ising model},
author = {P. Štelmachovič and V. Bužek},
journal= {arXiv preprint arXiv:quant-ph/0312154},
year = {2007}
}
Comments
More detailed discussions on the non-analytical behavior. Corrected typos. Shorter version without some appendices accepted for publication in Phys. Rev. A