Real Time Evolution in Quantum Many-Body Systems With Unitary Perturbation Theory
Strongly Correlated Electrons
2009-11-13 v2
Abstract
We develop a new analytical method for solving real time evolution problems of quantum many-body systems. Our approach is a direct generalization of the well-known canonical perturbation theory for classical systems. Similar to canonical perturbation theory, secular terms are avoided in a systematic expansion and one obtains stable long-time behavior. These general ideas are illustrated by applying them to the spin-boson model and studying its non-equilibrium spin dynamics.
Cite
@article{arxiv.0709.2100,
title = {Real Time Evolution in Quantum Many-Body Systems With Unitary Perturbation Theory},
author = {A. Hackl and S. Kehrein},
journal= {arXiv preprint arXiv:0709.2100},
year = {2009}
}
Comments
Final version as accepted for publication in Phys. Rev. B (4 pages, 3 figures)