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dc.contributor.authorHaah, Jeongwan
dc.date.accessioned2014-08-18T15:06:18Z
dc.date.available2014-08-18T15:06:18Z
dc.date.issued2014-02
dc.date.submitted2013-10
dc.identifier.issn1098-0121
dc.identifier.issn1550-235X
dc.identifier.urihttp://hdl.handle.net/1721.1/88751
dc.description.abstractWe 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.sponsorshipGordon and Betty Moore Foundationen_US
dc.description.sponsorshipMIT Department of Physics Pappalardo Programen_US
dc.language.isoen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevB.89.075119en_US
dc.rightsArticle 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.sourceAmerican Physical Societyen_US
dc.titleBifurcation in entanglement renormalization group flow of a gapped spin modelen_US
dc.typeArticleen_US
dc.identifier.citationHaah, Jeongwan. “Bifurcation in Entanglement Renormalization Group Flow of a Gapped Spin Model.” Phys. Rev. B 89, no. 7 (February 2014). © 2014 American Physical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Physicsen_US
dc.contributor.mitauthorHaah, Jeongwanen_US
dc.relation.journalPhysical Review Ben_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsHaah, Jeongwanen_US
dc.identifier.orcidhttps://orcid.org/0000-0002-4420-4932
mit.licensePUBLISHER_POLICYen_US
mit.metadata.statusComplete


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