Conformal Invariance in Periodic Quantum Chains

TL;DR

This paper demonstrates how conformal invariance determines the form of two-point correlators in 1D periodic quantum systems, supported by numerical evidence across various models, and discusses its application in efficiently computing critical exponents.

Contribution

It introduces a method leveraging conformal invariance to predict correlator forms and accelerates critical exponent calculations in quantum chains.

Findings

Conformal invariance predicts correlator functional forms in 1D quantum systems.

Numerical evidence supports the predicted forms across diverse models.

The approach speeds up critical exponent computations.

Abstract

We show how conformal invariance predicts the functional form of two-point correlators in one-dimensional periodic quantum systems. Numerical evidence for this functional form in a wide class of models --- including long-ranged ones --- is given and it is shown how this may be used to significantly speed up calculations of critical exponents.