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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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)|
|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|
|Classification Code:||PACS: 03.67.-a, 03.65.Ud, 02.70.-c, 05.30.Fk|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||19 Jul 2012 21:15|
|Last Modified:||26 Dec 2012 15:32|
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