42 citations · 137 across the 5 of their papers we have counts for
4 papers
Simple Hamiltonians for Matrix Product State models
Norbert Schuch, Andras Molnar, David Perez-Garcia
Matrix Product States (MPS) and Tensor Networks provide a general framework for the construction of solvable models. The best-known example is the Affleck-Kennedy-Lieb-Tasaki (AKLT…
Normal projected entangled pair states generating the same state
Andras Molnar, José Garre-Rubio, David Pérez-García +2
Tensor networks are generated by a set of small rank tensors and define many-body quantum states in a succinct form. The corresponding map is not one-to-one: different sets of tens…
Robustness in Projected Entangled Pair States
J. I. Cirac, S. Michalakis, D. Perez-Garcia +1
We analyze a criterion which guarantees that the ground states of certain many body systems are stable under perturbations. Specifically, we consider PEPS, which are believed to pr…
Frustration free gapless Hamiltonians for Matrix Product States
Carlos Fernández-González, Norbert Schuch, Michael M. Wolf +2
For every Matrix Product State (MPS) one can always construct a so-called parent Hamiltonian. This is a local, frustration free, Hamiltonian which has the MPS as ground state and i…