dc.contributor.author | Haah, Jeongwan | |
dc.date.accessioned | 2014-08-18T15:06:18Z | |
dc.date.available | 2014-08-18T15:06:18Z | |
dc.date.issued | 2014-02 | |
dc.date.submitted | 2013-10 | |
dc.identifier.issn | 1098-0121 | |
dc.identifier.issn | 1550-235X | |
dc.identifier.uri | http://hdl.handle.net/1721.1/88751 | |
dc.description.abstract | We study entanglement renormalization group transformations for the ground states of a spin model, called cubic code model H[subscript A] in three dimensions, in order to understand long-range entanglement structure. The cubic code model has degenerate and locally indistinguishable ground states under periodic boundary conditions. In the entanglement renormalization, one applies local unitary transformations on a state, called disentangling transformations, after which some of the spins are completely disentangled from the rest and then discarded. We find a disentangling unitary to establish equivalence of the ground state of H[subscript A] on a lattice of lattice spacing a to the tensor product of ground spaces of two independent Hamiltonians H[subscript A] and H[subscript B] on lattices of lattice spacing 2a. We further find a disentangling unitary for the ground space of H[subscript B] with the lattice spacing a to show that it decomposes into two copies of itself on the lattice of the lattice spacing 2a. The disentangling transformations yield a tensor network description for the ground state of the cubic code model. Using exact formulas for the degeneracy as a function of system size, we show that the two Hamiltonians H[subscript A] and H[subscript B] represent distinct phases of matter. | en_US |
dc.description.sponsorship | Gordon and Betty Moore Foundation | en_US |
dc.description.sponsorship | MIT Department of Physics Pappalardo Program | en_US |
dc.language.iso | en_US | |
dc.publisher | American Physical Society | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1103/PhysRevB.89.075119 | en_US |
dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
dc.source | American Physical Society | en_US |
dc.title | Bifurcation in entanglement renormalization group flow of a gapped spin model | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Haah, Jeongwan. “Bifurcation in Entanglement Renormalization Group Flow of a Gapped Spin Model.” Phys. Rev. B 89, no. 7 (February 2014). © 2014 American Physical Society | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Physics | en_US |
dc.contributor.mitauthor | Haah, Jeongwan | en_US |
dc.relation.journal | Physical Review B | en_US |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dspace.orderedauthors | Haah, Jeongwan | en_US |
dc.identifier.orcid | https://orcid.org/0000-0002-4420-4932 | |
mit.license | PUBLISHER_POLICY | en_US |
mit.metadata.status | Complete | |