MIT Libraries homeMIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Rigorous Free-Fermion Entanglement Renormalization from Wavelet Theory

Author(s)
Haegeman, Jutho; Walter, Michael; Cotler, Jordan; Evenbly, Glen; Scholz, Volkher B.; Swingle, Brian Gordon; ... Show more Show less
Thumbnail
DownloadPhysRevX.8.011003.pdf (1.329Mb)
PUBLISHER_CC

Publisher with Creative Commons License

Creative Commons Attribution

Terms of use
Creative Commons Attribution http://creativecommons.org/licenses/by/3.0
Metadata
Show full item record
Abstract
We construct entanglement renormalization schemes that provably approximate the ground states of noninteracting-fermion nearest-neighbor hopping Hamiltonians on the one-dimensional discrete line and the two-dimensional square lattice. These schemes give hierarchical quantum circuits that build up the states from unentangled degrees of freedom. The circuits are based on pairs of discrete wavelet transforms, which are approximately related by a “half-shift”: translation by half a unit cell. The presence of the Fermi surface in the two-dimensional model requires a special kind of circuit architecture to properly capture the entanglement in the ground state. We show how the error in the approximation can be controlled without ever performing a variational optimization.
Date issued
2018-01
URI
http://hdl.handle.net/1721.1/114392
Department
Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review X
Publisher
American Physical Society
Citation
Haegeman, Jutho et al. "Rigorous Free-Fermion Entanglement Renormalization from Wavelet Theory." Physical Review X 8, 1 (January 2018): 011003
Version: Final published version
ISSN
2160-3308

Collections
  • MIT Open Access Articles

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries homeMIT Libraries logo

Find us on

Twitter Facebook Instagram YouTube RSS

MIT Libraries navigation

SearchHours & locationsBorrow & requestResearch supportAbout us
PrivacyPermissionsAccessibility
MIT
Massachusetts Institute of Technology
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.