Quantum phase transitions in matrix product systems
Statistical Mechanics
2009-11-11 v1 Strongly Correlated Electrons
Quantum Physics
Abstract
We investigate quantum phase transitions (QPTs) in spin chain systems characterized by local Hamiltonians with matrix product ground states. We show how to theoretically engineer such QPT points between states with predetermined properties. While some of the characteristics of these transitions are familiar, like the appearance of singularities in the thermodynamic limit, diverging correlation length, and vanishing energy gap, others differ from the standard paradigm: In particular, the ground state energy remains analytic, and the entanglement entropy of a half-chain stays finite. Examples demonstrate that these kinds of transitions can occur at the triple point of `conventional' QPTs.
Cite
@article{arxiv.cond-mat/0512180,
title = {Quantum phase transitions in matrix product systems},
author = {Michael M. Wolf and Gerardo Ortiz and Frank Verstraete and J. Ignacio Cirac},
journal= {arXiv preprint arXiv:cond-mat/0512180},
year = {2009}
}
Comments
5 pages, 1 figure