Entanglement Entropy in Many-Fermion System
Abstract
In this four-part prospectus, we first give a brief introduction to the motivation for studying entanglement entropy and some recent development. Then follows a summary of our recent work about entanglement entropy in states with traditional long-range order. After that we demonstrate calculation of entanglement entropy in both one-dimensional spin-less fermionic systems as well as bosonic systems via different approaches, and connect them using one-dimensional bosonization. In the last part, we briefly sketch the idea of bosonization in high-dimensions, and discuss the possibility and advantage of approaching the scaling behavior of entanglement entropy of fermions in arbitrary dimensions via bosonization.
Cite
@article{arxiv.0908.2418,
title = {Entanglement Entropy in Many-Fermion System},
author = {Wenxin Ding},
journal= {arXiv preprint arXiv:0908.2418},
year = {2009}
}
Comments
Dissertation tentative prospectus submitted to dissertation committee on 8/20/08; successfully defended on 8/21/08