Robustness in projected entangled pair states

@article{Cirac2013RobustnessIP,
  title={Robustness in projected entangled pair states},
  author={Juan Ignacio Cirac and Spyridon Michalakis and David P{\'e}rez-Garc{\'i}a and Norbert Schuch},
  journal={Physical Review B},
  year={2013},
  volume={88},
  pages={115108}
}
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 provide an efficient description, based on local tensors, for the low energy physics arising from local interactions. In order to assess stability in the framework of PEPS, one thus needs to understand how physically allowed perturbations of the local tensor affect the properties of the global state. In this paper, we… 

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