Universidad Complutense de Madrid
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PEPS as ground states: degeneracy and topology



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Schuch, Norbert y Pérez García, David y Cirac, Ignacio (2010) PEPS as ground states: degeneracy and topology. Annals of Physics, 325 (10). pp. 2153-2192. ISSN 0003-4916

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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0003491610000990


We introduce a framework for characterizing Matrix Product States (MPS) and Projected Entangled Pair States (PEPS) in terms of symmetries. This allows us to understand how PEPS appear as ground states of local Hamiltonians with finitely degenerate ground states and to characterize the ground state subspace. Subsequently, we apply our framework to show how the topological properties of these ground states can be explained solely from the symmetry: We prove that ground states are locally indistinguishable and can be transformed into each other by acting on a restricted region, we explain the origin of the topological entropy, and we discuss how to renormalize these states based on their symmetries. Finally, we show how the anyonic character of excitations can be understood as a consequence of the underlying symmetries.

Tipo de documento:Artículo
Palabras clave:Matrix Product States; Projected Entangled Pair States (PEPS); Tensor network states; Topological states; Quantum double models; Toric code state; Anyons; Exactly solvable models
Palabras clave (otros idiomas):Física matemática, Teoría cuántica, Quantum Physics, Mathematical Physics
Materias:Ciencias > Física > Física matemática
Ciencias > Física > Teoría de los quanta
Código ID:12159
Depositado:03 Feb 2011 08:54
Última Modificación:03 Dic 2014 15:55

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