Long-time dynamics of quantum chains: transfer-matrix renormalization group and entanglement of the maximal eigenvector
Abstract
By using a different quantum-to-classical mapping from the Trotter-Suzuki decomposition, we identify the entanglement structure of the maximal eigenvectors for the associated quantum transfer matrix. This observation provides a deeper insight into the problem of linear growth of the entanglement entropy in time evolution using conventional methods. Based on this observation, we propose a general method for arbitrary temperatures using the biorthonormal transfer-matrix renormalization group. Our method exhibits a competitive accuracy with a much cheaper computational cost in comparison with two recent proposed methods for long-time dynamics based on a folding algorithm [Phys. Rev. Lett. 102, 240603 (2009)] and a modified time-dependent density-matrix renormalization group [Phys. Rev. Lett. 108, 227206 (2012)].
Keywords
Cite
@article{arxiv.1401.6762,
title = {Long-time dynamics of quantum chains: transfer-matrix renormalization group and entanglement of the maximal eigenvector},
author = {Yu-Kun Huang and Pochung Chen and Ying-Jer Kao and Tao Xiang},
journal= {arXiv preprint arXiv:1401.6762},
year = {2014}
}