Flux insertion, entanglement, and quantized responses
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.
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.Attached Files
Submitted - 1405.6028v1.pdf
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Additional details
- Eprint ID
- 53170
- Resolver ID
- CaltechAUTHORS:20150105-101809107
- DMR-1206515
- NSF
- Sherman Fairchild Foundation
- MPI-PKS Dresden visitor program
- Created
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2015-01-06Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field