Scaling of entanglement entropy in the (branching) multiscale entanglement renormalization ansatz
- Creators
- Evenbly, G.
- Vidal, G.
Abstract
We investigate the scaling of entanglement entropy in both the multiscale entanglement renormalization ansatz (MERA) and in its generalization, the branching MERA. We provide analytical upper bounds for this scaling, which take the general form of a boundary law with various types of multiplicative corrections, including power-law corrections all the way to a bulk law. For several cases of interest, we also provide numerical results that indicate that these upper bounds are saturated to leading order. In particular, we establish that, by a suitable choice of holographic tree, the branching MERA can reproduce the logarithmic multiplicative correction of the boundary law observed in Fermi liquids and spin-Bose metals in D ≥ 2 dimensions.
Additional Information
© 2014 American Physical Society. Received 24 February 2014; revised manuscript received 16 May 2014; published 10 June 2014. G.E. is supported by the Sherman Fairchild Foundation. G.V. acknowledges support from the John Templeton Foundation. This research is supported in part by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation.Attached Files
Published - PhysRevB.89.235113.pdf
Submitted - 1310.8372v1.pdf
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Additional details
- Eprint ID
- 47503
- Resolver ID
- CaltechAUTHORS:20140725-132444252
- Sherman Fairchild Foundation
- John Templeton Foundation
- Perimeter Institute for Theoretical Physics
- Government of Canada
- Industry Canada
- Province of Ontario Ministry of Research and Innovation
- Created
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2014-07-25Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field