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A real space decoupling transformation for quantum many-body systems

Evenbly, Glen and Vidal, Guifre (2012) A real space decoupling transformation for quantum many-body systems. . (Submitted) 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 [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 RG flow and of scale invariance are also put forward.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1205.0639v1arXivUNSPECIFIED
Additional Information:G.E. is supported by the Sherman Fairchild Foundation. G.V. thanks the Australian Research Council Centre of Excellence for Engineered Quantum Systems.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Australian Research Council Centre of Excellence for Engineered Quantum SystemsUNSPECIFIED
Classification Code:PACS: 03.67.-a, 03.65.Ud, 02.70.-c, 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:26 Dec 2012 15:32

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