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Real-Space Decoupling Transformation for Quantum Many-Body Systems

Evenbly, G. and Vidal, G. (2014) Real-Space Decoupling Transformation for Quantum Many-Body Systems. Physical Review Letters, 112 (22). Art. No. 220502. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20120716-080744950

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Abstract

We propose a real-space renormalization group method to explicitly decouple into independent components a many-body system that, as in the phenomenon of spin-charge separation, exhibits separation of degrees of freedom at low energies. Our approach produces a branching holographic description of such systems that opens the path to the efficient simulation of the most entangled phases of quantum matter, such as those whose ground state violates a boundary law for entanglement entropy. As in the coarse-graining transformation of Vidal [Phys. Rev. Lett. 99, 220405 (2007)], the key ingredient of this decoupling transformation is the concept of entanglement renormalization, or removal of short-range entanglement. We demonstrate the feasibility of the approach, both analytically and numerically, by decoupling in real space the ground state of a critical quantum spin chain into two. Generalized notions of renormalization group flow and of scale invariance are also put forward.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1205.0639v1arXivDiscussion Paper
http://dx.doi.org/ 10.1103/PhysRevLett.112.220502 DOIArticle
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.220502PublisherArticle
Alternate Title:A real space decoupling transformation for quantum many-body systems
Additional Information:© 2014 American Physical Society. Received 24 February 2014; published 4 June 2014. G. E. is supported by the Sherman Fairchild 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.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Perimeter Institute for Theoretical PhysicsUNSPECIFIED
Government of Canada Industry Canada UNSPECIFIED
Province of Ontario Ministry of Research and InnovationUNSPECIFIED
Classification Code:PACS numbers: 03.67.-a, 02.70.-c, 03.65.Ud, 05.30.Fk
Record Number:CaltechAUTHORS:20120716-080744950
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120716-080744950
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32448
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Jul 2012 21:15
Last Modified:09 Jan 2016 01:04

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