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We give a classification of gapped quantum phases of one-dimensional systems in the framework of matrix product states (MPS) and their associated parent Hamiltonians, for systems with unique as well as degenerate ground states and in both the ab[...]texto impreso
Haegeman, Jutho ; Pérez García, David ; Cirac, Ignacio ; Schuch, Norbert | American Physical Society | 2012-08-03We introduce an order parameter for symmetry-protected phases in one dimension which allows us to directly identify those phases. The order parameter consists of stringlike operators and swaps, but differs from conventional string order operator[...]texto impreso
Schuch, Norbert ; Pérez García, David ; Cirac, Ignacio | 2010We 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 degenera[...]
