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Criticality and entanglement in random quantum systems

Refael, G. and Moore, J. E. (2009) Criticality and entanglement in random quantum systems. Journal of Physics A: Mathematical and General, 42 (50). Art. No. 504010. ISSN 0305-4470. https://resolver.caltech.edu/CaltechAUTHORS:20100105-152508974

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Abstract

We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum criticality of these systems and an understanding of their relationship to non-random ('pure') quantum criticality. The entanglement near many such critical points in one dimension shows a logarithmic divergence in subsystem size, similar to that in the pure case but with a different universal coefficient. Such universal coefficients are examples of universal critical amplitudes in a random system. Possible measurements are reviewed along with the one-particle entanglement scaling at certain Anderson localization transitions. We also comment briefly on higher dimensions and challenges for the future.


Item Type:Article
Related URLs:
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http://dx.doi.org/10.1088/1751-8113/42/50/504010 DOIUNSPECIFIED
http://www.iop.org/EJ/abstract/1751-8121/42/50/504010/PublisherUNSPECIFIED
http://stacks.iop.org/JPhysA/42/504010PublisherUNSPECIFIED
Additional Information:© 2009 Institute of Physics and IOP Publishing Limited. Received 9 June 2009, in final form 16 September 2009. Published 2 December 2009. The authors would like to thank many collaborators and colleagues for invaluable conversations over the past 5 years, and especially thank N Bonesteel, P Calabrese, E Fradkin, L Fidkowski, I Klich, H-H Lin, S Mukerjee, F Pollmann, A Silva, P Titum, A Turner and K Yang for their entanglement with the authors. The authors gratefully acknowledge financial support from the Packard Foundation, Research Corporation Cottrell award, and the Sloan Foundation, and NSF grants PHY-0456720 and PHY-0803371 (GR) and NSF DMR-0804413 (JEM).
Funders:
Funding AgencyGrant Number
Packard Foundation, Research Corporation Cottrell awardUNSPECIFIED
Sloan FoundationUNSPECIFIED
NSFPHY-0456720
NSFPHY-0803371 (GR)
NSFDMR-0804413
Issue or Number:50
Classification Code:PACS numbers: 05.50.+q, 03.65.Ud, 03.67.Mn.
Record Number:CaltechAUTHORS:20100105-152508974
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20100105-152508974
Official Citation:Criticality and entanglement in random quantum systems G Refael and J E Moore 2009 J. Phys. A: Math. Theor. 42 504010 (31pp) doi: 10.1088/1751-8113/42/50/504010
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:17068
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Jan 2010 00:11
Last Modified:03 Oct 2019 01:22

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