Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published June 4, 2014 | Published + Submitted + Supplemental Material
Journal Article Open

Real-Space Decoupling Transformation for Quantum Many-Body Systems

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

PhysRevLett.112.220502.pdf
Files (1.3 MB)
Name Size Download all
md5:d26bc18a6e4408c329b1820c23eb0d02
728.8 kB Preview Download
md5:9f910fa67ede39f554a1c7e1395d202f
461.5 kB Preview Download
md5:d750749a940ce6870199e3a9576c218a
86.6 kB Preview Download

Additional details

Created:
August 20, 2023
Modified:
October 18, 2023