Entanglement Entropy in Many-Fermion System

Details Entanglement Entropy in Many-Fermion System Entanglement Entropy in Many-Fermion System

2009-08-17

arxiv.org/abs/0908.2418v1

Physics

Quantum Physics

Dissertation tentative prospectus submitted to dissertation committee on 8/20/08; successfully defended on 8/21/08

Scientific paper

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.

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