Time-dependent variational principle for quantum lattices
Strongly Correlated Electrons
2012-03-13 v2 Statistical Mechanics
Quantum Physics
Abstract
We develop a new algorithm based on the time-dependent variational principle applied to matrix product states to efficiently simulate the real- and imaginary time dynamics for infinite one-dimensional quantum lattice systems. This procedure: (1) is argued to be optimal; (2) does not rely on the Trotter decomposition and thus has no Trotter error; (3) explicitly preserves all symmetries and conservation laws; and (4) has low computational complexity. The algorithm is illustrated using both imaginary time and real-time examples.
Keywords
Cite
@article{arxiv.1103.0936,
title = {Time-dependent variational principle for quantum lattices},
author = {Jutho Haegeman and J. Ignacio Cirac and Tobias J. Osborne and Iztok Pizorn and Henri Verschelde and Frank Verstraete},
journal= {arXiv preprint arXiv:1103.0936},
year = {2012}
}
Comments
main text (4+ pages, 2 figures, 1 table) + supplementary material (15 pages, 2 figures). Corrections and other small changes, added reference