Real-Space Decoupling Transformation for Quantum Many-Body Systems
- Creators
- Evenbly, G.
- Vidal, G.
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.
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.Attached Files
Published - PhysRevLett.112.220502.pdf
Submitted - 1205.0639v1.pdf
Supplemental Material - Supplementary.pdf
Files
Additional details
- Alternative title
- A real space decoupling transformation for quantum many-body systems
- Eprint ID
- 32448
- Resolver ID
- CaltechAUTHORS:20120716-080744950
- Sherman Fairchild Foundation
- Perimeter Institute for Theoretical Physics
- Government of Canada Industry Canada
- Province of Ontario Ministry of Research and Innovation
- Created
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2012-07-19Created from EPrint's datestamp field
- Updated
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2023-10-17Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter