Journal
PHYSICAL REVIEW B
Volume 82, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.82.125118
Keywords
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Funding
- Swiss National Science Foundation (SNF) [PA00P2-126220]
- DOE [DE-FG03-92-E40701]
- NSF [PHY-0803371]
- Swiss National Science Foundation (SNF) [PA00P2_126220] Funding Source: Swiss National Science Foundation (SNF)
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We introduce a family of variational ansatz states for chains of anyons which optimally exploits the structure of the anyonic Hilbert space. This ansatz is the natural analog of the multiscale entanglement renormalization ansatz for spin chains. In particular, it has the same interpretation as a coarse-graining procedure and is expected to accurately describe critical systems with algebraically decaying correlations. We numerically investigate the validity of this ansatz using the anyonic golden chain and its relatives as a testbed. This demonstrates the power of entanglement renormalization in a setting with non-Abelian exchange statistics, extending previous work on qudits, bosons, and fermions in two dimensions.
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