Conformal data from finite entanglement scaling

Stojevic, Vid, Haegeman, Jutho, McCulloch I.P., Tagliacozzo, Luca and Verstraete, Frank (2015) Conformal data from finite entanglement scaling. Physical Review B - Condensed Matter and Materials Physics, 91 3: . doi:10.1103/PhysRevB.91.035120

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Author Stojevic, Vid
Haegeman, Jutho
McCulloch I.P.
Tagliacozzo, Luca
Verstraete, Frank
Title Conformal data from finite entanglement scaling
Journal name Physical Review B - Condensed Matter and Materials Physics   Check publisher's open access policy
ISSN 1550-235X
Publication date 2015-01-20
Year available 2015
Sub-type Article (original research)
DOI 10.1103/PhysRevB.91.035120
Open Access Status File (Publisher version)
Volume 91
Issue 3
Total pages 16
Place of publication College Park, United States
Publisher American Physical Society
Collection year 2016
Language eng
Abstract In this paper, we apply the formalism of translation invariant (continuous) matrix product states in the thermodynamic limit to (1+1)-dimensional critical models. Finite bond dimension bounds the entanglement entropy and introduces an effective finite correlation length, so that the state is perturbed away from criticality. The assumption that the scaling hypothesis holds for this kind of perturbation is known in the literature as finite entanglement scaling. We provide further evidence for the validity of finite entanglement scaling and based on this formulate a scaling algorithm to estimate the central charge and critical exponents of the conformally invariant field theories describing the critical models under investigation. The algorithm is applied to three exemplary models; the cMPS version to the nonrelativistic Lieb-Liniger model and the relativistic massless boson, and MPS version to the one-dimensional quantum Ising model at the critical point. Another new aspect to our approach is that we directly use the (c)MPS induced correlation length rather than the bond dimension as scaling parameter. This choice is motivated by several theoretical arguments as well as by the remarkable accuracy of our results.
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Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2016 Collection
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Citation counts: TR Web of Science Citation Count  Cited 9 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 11 times in Scopus Article | Citations
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