Morgan, Eric and Brandão, Fernando G. S. L. (2019) A Classical Model Correspondence for G-symmetric Random Tensor Networks. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20190801-134548265
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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.
Item Type: | Report or Paper (Discussion Paper) | ||||||
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Additional Information: | This work is part of IQIM, which is a National Science Foundation (NSF) Physics Frontiers Center (NSF Grant PHY-1733907). | ||||||
Group: | Institute for Quantum Information and Matter | ||||||
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Record Number: | CaltechAUTHORS:20190801-134548265 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190801-134548265 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 97603 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | George Porter | ||||||
Deposited On: | 01 Aug 2019 21:34 | ||||||
Last Modified: | 04 Jun 2020 10:14 |
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