R\'{e}nyi entanglement entropy after a quantum quench starting from insulating states in a free boson system
Abstract
We investigate the time-dependent R\'{e}nyi entanglement entropy after a quantum quench starting from the Mott-insulating and charge-density-wave states in a one-dimensional free boson system. The second R\'{e}nyi entanglement entropy is found to be the negative of the logarithm of the permanent of a matrix consisting of time-dependent single-particle correlation functions. From this relation and a permanent inequality, we obtain rigorous conditions for satisfying the volume-law entanglement growth. We also succeed in calculating the time evolution of the R\'{e}nyi entanglement entropy in unprecedentedly large systems by brute-force computations of the permanent. We discuss possible applications of our findings to the real-time dynamics of noninteracting bosonic systems.
Keywords
Cite
@article{arxiv.2207.08353,
title = {R\'{e}nyi entanglement entropy after a quantum quench starting from insulating states in a free boson system},
author = {Daichi Kagamihara and Ryui Kaneko and Shion Yamashika and Kota Sugiyama and Ryosuke Yoshii and Shunji Tsuchiya and Ippei Danshita},
journal= {arXiv preprint arXiv:2207.08353},
year = {2023}
}
Comments
15 pages, 8 figures. The authors Daichi Kagamihara and Ryui Kaneko contributed equally to this work