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Universal entanglement signatures of foliated fracton phases

Shirley, Wilbur and Slagle, Kevin and Chen, Xie (2019) Universal entanglement signatures of foliated fracton phases. SciPost Physics, 6 (1). Art. No. 015. ISSN 2542-4653. doi:10.21468/SciPostPhys.6.1.015.

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Fracton models exhibit a variety of exotic properties and lie beyond the conventional framework of gapped topological order. In a previous work, we generalized the notion of gapped phase to one of foliated fracton phase by allowing the addition of layers of gapped two-dimensional resources in the adiabatic evolution between gapped three-dimensional models. Moreover, we showed that the X-cube model is a fixed point of one such phase. In this paper, according to this definition, we look for universal properties of such phases which remain invariant throughout the entire phase. We propose multi-partite entanglement quantities, generalizing the proposal of topological entanglement entropy designed for conventional topological phases. We present arguments for the universality of these quantities and show that they attain non-zero constant value in non-trivial foliated fracton phases.

Item Type:Article
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URLURL TypeDescription Paper
Slagle, Kevin0000-0002-8036-3447
Additional Information:© 2019 W. Shirley et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 27-05-2018; Accepted 17-01-2019; Published 31-01-2019. W.S. and X.C. are supported by the National Science Foundation under award number DMR-1654340 and the Institute for Quantum Information and Matter at Caltech. X.C. is also supported by the Alfred P. Sloan research fellowship and the Walter Burke Institute for Theoretical Physics at Caltech. K.S. is supported by the NSERC of Canada and the Center for Quantum Materials at the University of Toronto.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
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Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
University of TorontoUNSPECIFIED
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Record Number:CaltechAUTHORS:20180924-141823095
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89895
Deposited By: Tony Diaz
Deposited On:24 Sep 2018 22:43
Last Modified:16 Nov 2021 00:39

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