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dc.contributor.authorTagliacozzo, Luca
dc.contributor.authorCeli, Alessio
dc.contributor.authorLewenstein, Maciej
dc.contributor.otherUniversitat Politècnica de Catalunya. Institut de Ciències Fotòniques
dc.date.accessioned2014-12-05T12:36:21Z
dc.date.available2014-12-05T12:36:21Z
dc.date.issued2014-11-06
dc.identifier.citationTagliacozzo, Luca; Celi, Alessio; Lewenstein, Maciej. Tensor Networks for Lattice Gauge Theories with continuous groups. "Physical Review X", 6 Novembre 2014, vol. 4, núm. 041024, p. 1-29.
dc.identifier.urihttp://hdl.handle.net/2117/24937
dc.description.abstractWe discuss how to formulate lattice gauge theories in the tensor-network language. In this way, we obtain both a consistent-truncation scheme of the Kogut-Susskind lattice gauge theories and a tensornetwork variational ansatz for gauge-invariant states that can be used in actual numerical computations. Our construction is also applied to the simplest realization of the quantum link models or gauge magnets and provides a clear way to understand their microscopic relation with the Kogut-Susskind lattice gauge theories. We also introduce a new set of gauge-invariant operators that modify continuously RokhsarKivelson wave functions and can be used to extend the phase diagrams of known models. As an example, we characterize the transition between the deconfined phase of the Z2 lattice gauge theory and the RokhsarKivelson point of the Uð1Þ gauge magnet in 2D in terms of entanglement entropy. The topological entropy serves as an order parameter for the transition but not the Schmidt gap.
dc.format.extent29
dc.language.isoeng
dc.publisherACS Publications
dc.subjectÀrees temàtiques de la UPC::Física
dc.subject.lcshGauge fields (Physics)
dc.subject.otherGauge Field Theory
dc.titleTensor Networks for Lattice Gauge Theories with continuous groups
dc.typeArticle
dc.subject.lemacGauge, Camps de
dc.identifier.doi10.1103/PhysRevX.4.041024
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttps://journals.aps.org/prx/abstract/10.1103/PhysRevX.4.041024
dc.rights.accessOpen Access
dc.description.versionPostprint (author’s final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/FP7/273524/EU/ENtanglement renormalization and GAuGE Symmetry/ENGAGES
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/640378/EU/Rydberg Quantum Simulators/RYSQ
local.citation.authorTagliacozzo, Luca; Celi, Alessio; Lewenstein, Maciej
local.citation.publicationNamePhysical Review X
local.citation.volume4
local.citation.number041024
local.citation.startingPage1
local.citation.endingPage29


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