TensorTalk: Generic properties of MPS and PEPS

Speaker: Andreas Bluhm

Title: Generic properties of MPS and PEPS

Abstract: We will discuss the recent results obtained by Lancien et al. (2019) on generic properties in random MPS and PEPS. We will see that random MPS and PEPS exhibit an exponential decay of correlations.

Depending on the regime we consider, this is follows from a spectral gap in their parent Hamiltonian or their transfer operator.

References:

- Cécilia Lancien and David Pérez-García, Correlation length in random MPS and PEPS, 2019, arXiv:1906.11682