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Flux insertion, entanglement, and quantized responses

Zaletel, Michael P. and Mong, Roger S. K. and Pollmann, Frank (2014) Flux insertion, entanglement, and quantized responses. Journal of Statistical Mechanics: Theory and Experiment, 2014 . Art. No. P10007. ISSN 1742-5468. https://resolver.caltech.edu/CaltechAUTHORS:20150105-101809107

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Abstract

There has been much discussion about which aspects of the entanglement spectrum are in fact robust properties of a bulk phase. By making use of a trick for constructing the ground state of a system on a ring given the ground state on an infinite chain, we show why the entanglement spectrum combined with the quantum numbers of the Schmidt states encodes a variety of robust topological observables. We introduce a method that allows us to characterize phases by measuring quantized responses, such as the Hall conductance, using data contained in the entanglement spectrum. As concrete examples, we show how the Berry phase allows us to map out the phase diagram of a spin-1 model and calculate the Hall conductivity of a quantum Hall system.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/1742-5468/2014/10/P10007 DOIArticle
http://iopscience.iop.org/1742-5468/2014/10/P10007/PublisherArticle
http://arxiv.org/abs/1405.6028arXivDiscussion Paper
Additional Information:© 2014 IOP Publishing Ltd and SISSA Medialab srl. Received 13 June 2014; Accepted for publication 15 August 2014; Published 1 October 2014. MZ would like to thank Joel Moore and support from NSF DMR-1206515. RM is supported by the Sherman Fairchild Foundation. MZ and RM acknowledge the hospitality of the MPI-PKS Dresden visitor program.
Funders:
Funding AgencyGrant Number
NSFDMR-1206515
Sherman Fairchild FoundationUNSPECIFIED
MPI-PKS Dresden visitor programUNSPECIFIED
Subject Keywords:spin chains; ladders and planes (theory); quantum phase transitions (theory); entanglement in extended quantum systems (theory)
Classification Code:PACS: 03.65.Ud; 05.10.Cc; 03.65.Ta. MSC: 81Q70; 81T17; 82B28.
Record Number:CaltechAUTHORS:20150105-101809107
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150105-101809107
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:53170
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 Jan 2015 19:32
Last Modified:03 Oct 2019 07:47

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