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Conformal fields and operator product expansion in critical quantum spin chains

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arxiv 1901.06439 v1 pith:NB367GQC submitted 2019-01-18 cond-mat.str-el hep-lathep-thquant-ph

classification cond-mat.str-elhep-lathep-thquant-ph
keywords criticaloperatorsquantumspinchainconformalexpansionlattice
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We propose a variational method for identifying lattice operators in a critical quantum spin chain with scaling operators in the underlying conformal field theory (CFT). In particular, this allows us to build a lattice version of the primary operators of the CFT, from which we can numerically estimate the operator product expansion coefficients $C_{\alpha\beta\gamma}^{\textrm{ CFT}}$. We demonstrate the approach with the critical Ising quantum spin chain.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Approximate Quantum Error Correction at Chiral Topological Edges

    quant-ph 2026-08 conditional novelty 7.0 of 10

    Chiral edge codes have local-erasure robustness governed by power-law exponents with hierarchy γ≥α≥min{α,β}, so the 2D code is at least as robust as its 1D CFT reduction.

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