A class of asymmetric gapped Hamiltonians on quantum spin chains and its characterization II
Abstract
We give a characterization of the class of gapped Hamiltonians introduced in PartI [O]. The Hamiltonians in this class are given as MPS (Matrix product state) Hamiltonians. In [O], we list up properties of ground state structures of Hamiltonians in this class. In this Part II, we show the converse. Namely, if a (not necessarily MPS) Hamiltonian satisfies five of the listed properties, there is a Hamiltonian from the class in [O], satisfying the followings: The ground state spaces of the two Hamiltonians on the infinite intervals coincide. The spectral projections onto the ground state space of on each finite intervals are approximated by that of exponentially well, with respect to the interval size. The latter property has an application to the classification problem.
Keywords
Cite
@article{arxiv.1510.07751,
title = {A class of asymmetric gapped Hamiltonians on quantum spin chains and its characterization II},
author = {Yoshiko Ogata},
journal= {arXiv preprint arXiv:1510.07751},
year = {2016}
}
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Final version