Criticality and entanglement in random quantum systems
- Creators
- Refael, G.
- Moore, J. E.
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.
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).Additional details
- Eprint ID
- 17068
- Resolver ID
- CaltechAUTHORS:20100105-152508974
- Packard Foundation, Research Corporation Cottrell award
- Sloan Foundation
- PHY-0456720
- NSF
- PHY-0803371 (GR)
- NSF
- DMR-0804413
- NSF
- Created
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2010-01-07Created from EPrint's datestamp field
- Updated
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2022-07-12Created from EPrint's last_modified field