2015
DOI: 10.1103/physrevb.91.121108
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Matrix product ansatz for Fermi fields in one dimension

Abstract: We present an implementation of a continuous matrix product state for two-component fermions in one-dimension. We propose a construction of variational matrices with an efficient parameterization that respects the translational symmetry of the problem (without being overly constraining) and readily meets the regularity conditions that arise from removing the ultraviolet divergences in the kinetic energy. We test the validity of our approach on an interacting spin-1/2 system and observe that the ansatz correctl… Show more

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Cited by 91 publications
(88 citation statements)
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“…Data were analyzed using R version 3.4.4 statistical software (The R Foundation for Statistical Computing, Vienna, Austria) [13] and imputation was done using the "mice" package [14].…”
Section: Discussionmentioning
confidence: 99%
“…Data were analyzed using R version 3.4.4 statistical software (The R Foundation for Statistical Computing, Vienna, Austria) [13] and imputation was done using the "mice" package [14].…”
Section: Discussionmentioning
confidence: 99%
“…Where data were presented only in graphical format, we used digitizing software (WebPlotDigitizer version 4.1; Rohatgi, 2018) to extract these. Means, standard errors and sample sizes were then used to calculate Hedges' d standardized mean difference as a measure of effect size (Box S1; Hedges, 1981;Hillebrand & Gurevitch, 2016) using the metafor package in r (Viechtbauer, 2010). We arbitrarily assigned effect sizes positive (>0) when resident individuals showed a fitness benefit, and negative (<0) when migrants showed a benefit.…”
Section: Data Extractionmentioning
confidence: 99%
“…The meta-analyses were performed with the "metafor" R package (Viechtbauer, 2010), using multi-level models with random effects for studies, species, and phylogeny. Study, species, and phylogenetic heterogeneity were calculated as the percentage of variance that each factor accounted for (of the total of all variance components) in each model.…”
Section: Literature Meta-analysismentioning
confidence: 99%