Person:
Garre Rubio, José

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First Name
José
Last Name
Garre Rubio
URI
https://hdl.handle.net/20.500.14352/74090
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Universidad Complutense de Madrid
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2017 - 20192
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Now showing 1 - 2 of 2
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    Mathematical open problems in projected entangled pair states
    (Revista Matemática Complutense, 2019) Cirac, J. Ignacio; Garre Rubio, José; Pérez García, David
    Projected entangled pair states (PEPS) are used in practice as an efficient parametrization of the set of ground states of quantum many body systems. The aim of this paper is to present, for a broad mathematical audience, some mathematical questions about PEPS.
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    Symmetry reduction induced by anyon condensation: A tensor network approach
    (Physical Review B, 2017) Garre Rubio, José; Iblisdir, Sofyan; Pérez García, David
    Topological ordered phases are related to changes in the properties of their quasiparticle excitations (anyons). We study these relations in the framework of projected entanglement pair states and show how condensing and confining anyons reduces a local gauge symmetry to a global on-site symmetry. We also study the action of this global symmetry over the quasiparticle excitations. As a byproduct, we observe that this symmetry reduction effect can be applied to one-dimensional systems as well and brings about appealing physical interpretations on the classification of phases with symmetries using matrix product states. The case of Z(2) on-site symmetry is studied in detail.