RSS icon
Twitter icon
Facebook icon
Vimeo icon
YouTube icon

Scale-Invariant Continuous Entanglement Renormalization of a Chern Insulator

TitleScale-Invariant Continuous Entanglement Renormalization of a Chern Insulator
Publication TypeJournal Article
Year of Publication2019
AuthorsS-K. Chu, G. Zhu, J. R. Garrison, Z. Eldredge, A. Valdes Curiel, P. Bienias, I.. B. Spielman, and
JournalPhys. Rev. Lett.
Volume122
Pagination120502
Date PublishedMAR 27
Type of ArticleArticle
ISSN0031-9007
Abstract

The multiscale entanglement renormalization ansatz (MERA) postulates the existence of quantum circuits that renormalize entanglement in real space at different length scales. Chem insulators, however, cannot have scale-invariant discrete MERA circuits with a finite bond dimension. In this Letter, we show that the continuous MERA (cMERA), a modified version of MERA adapted for field theories, possesses a fixed point wave function with a nonzero Chern number. Additionally, it is well known that reversed MERA circuits can be used to prepare quantum states efficiently in time that scales logarithmically with the size of the system. However, state preparation via MERA typically requires the advent of a full-fledged universal quantum computer. In this Letter, we demonstrate that our cMERA circuit can potentially be realized in existing analog quantum computers, i.e., an ultracold atomic Fermi gas in an optical lattice with light-induced spin-orbit coupling.

DOI10.1103/PhysRevLett.122.120502