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Real-space renormalization yields finite correlations

Publikationstyp
Journal Article
Date Issued
2010-07-02
Sprache
English
Author(s)
Barthel, Thomas  
Kliesch, Martin  
Eisert, Jens  
TORE-URI
http://hdl.handle.net/11420/14115
Journal
Physical review letters  
Volume
105
Issue
1
Article Number
010502
Citation
Physical Review Letters 105 (1): 010502 (2010-07-02)
Publisher DOI
10.1103/PhysRevLett.105.010502
Scopus ID
2-s2.0-77954258082
Real-space renormalization approaches for quantum lattice systems generate certain hierarchical classes of states that are subsumed by the multiscale entanglement renormalization Ansatz (MERA). It is shown that, with the exception of one spatial dimension, MERA states are actually states with finite correlations, i.e., projected entangled pair states (PEPS) with a bond dimension independent of the system size. Hence, real-space renormalization generates states which can be encoded with local effective degrees of freedom, and MERA states form an efficiently contractible class of PEPS that obey the area law for the entanglement entropy. It is further pointed out that there exist other efficiently contractible schemes violating the area law.
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