Least Action Principle for the Real-Time Density Matrix Renormalization Group
Statistical Mechanics
2007-05-23 v2 Strongly Correlated Electrons
Abstract
A kind of least action principle is introduced for the discrete time evolution of one-dimensional quantum lattice models. Based on this principle, we obtain an optimal condition for the matrix product states on succeeding time slices generated by the real-time density matrix renormalization group method. This optimization can also be applied to classical simulations of quantum circuits. We discuss the time reversal symmetry in the fully optimized MPS.
Cite
@article{arxiv.cond-mat/0612480,
title = {Least Action Principle for the Real-Time Density Matrix Renormalization Group},
author = {Kouji Ueda and Chenglong Jin and Naokazu Shibata and Yasuhiro Hieida and Tomotoshi Nishino},
journal= {arXiv preprint arXiv:cond-mat/0612480},
year = {2007}
}
Comments
5 pages, 4 figures, (a reference is added)