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math-ph2020★ 6 cited
Locality estimes for complex time evolution in 1D
David Pérez-García, Antonio Pérez-Hernández
It is a generalized belief that there are no thermal phase transitions in short range 1D quantum systems. However, the only known case for which this is rigorously proven is for th…
math-ph2019★ 17 cited
Mathematical open problems in Projected Entangled Pair States
J. Ignacio Cirac, José Garre-Rubio, David Pérez-García
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 pr…