A Classical Model Correspondence for G-symmetric Random Tensor Networks
- Creators
- Morgan, Eric
-
Brandão, Fernando G. S. L.
Abstract
We consider the scaling of entanglement entropy in random Projected Entangled Pairs States (PEPS) with an internal symmetry given by a finite group G. We systematically demonstrate a correspondence between this entanglement entropy and the difference of free energies of a classical Ising model with an addition non-local term. This non-local term counts the number of domain walls in a particular configuration of the classical spin model. We argue that for that overwhelming majority of such states, this gives rise to an area law scaling with well-defined topological entanglement entropy. The topological entanglement entropy is shown to be log|G| for a simply connected region A and which manifests as a difference in the number of domain walls of ground state energies for the two spin models.
Additional Information
This work is part of IQIM, which is a National Science Foundation (NSF) Physics Frontiers Center (NSF Grant PHY-1733907).Attached Files
Submitted - 1907.05490.pdf
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Additional details
- Eprint ID
- 97603
- Resolver ID
- CaltechAUTHORS:20190801-134548265
- PHY-1733907
- NSF
- Created
-
2019-08-01Created from EPrint's datestamp field
- Updated
-
2023-06-02Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter