Tensor Renormalization Group and its Application
Tensor Renormalization Group and its Application
Tensor Renormalization Group and its Application
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Expectation ValueΨ = Tr T [ m ] mΨΨ =∏iTr∑xyy i i∏i i ixx′ , yy′ , zz′i i i i i iA = T [ m] T [ m]xx′ , yy′ , zz′ xyz x′ y′ z′mBond dimension D 2iATo evaluate〈Ψ |Ψ 〉 <strong>and</strong> 〈Ψ |O|Ψ 〉is equivalent toevaluating the partitionfunctions of classicalstatistical models,such as the S=1/2 Isingmodel