Variational matrix product ansatz for dispersion relations
Quantum Physics
2012-03-30 v3 Statistical Mechanics
Strongly Correlated Electrons
Abstract
A variational ansatz for momentum eigenstates of translation invariant quantum spin chains is formulated. The matrix product state ansatz works directly in the thermodynamic limit and allows for an efficient implementation (cubic scaling in the bond dimension) of the variational principle. Unlike previous approaches, the ansatz includes topologically non-trivial states (kinks, domain walls) for systems with symmetry breaking. The method is benchmarked using the spin-1/2 XXZ antiferromagnet and the spin-1 Heisenberg antiferromagnet and we obtain surprisingly accurate results.
Cite
@article{arxiv.1103.2286,
title = {Variational matrix product ansatz for dispersion relations},
author = {Jutho Haegeman and Bogdan Pirvu and David J. Weir and J. Ignacio Cirac and Tobias J. Osborne and Henri Verschelde and Frank Verstraete},
journal= {arXiv preprint arXiv:1103.2286},
year = {2012}
}
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Published version