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Time correlations in 1D quantum impurity problems

F. Lesage·H. Saleur·S. Skorik
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Abstract

We develop in this letter an analytical approach using form- factors to compute time dependent correlations in integrable quantum impurity problems. As an example, we obtain for the first time the frequency dependent conductivity $G(ω)$ for the tunneling between the edges in the $ν=1/3$ fractional quantum Hall effect, and the spectrum $S(w)$ of the spin-spin correlation in the anisotropic Kondo model and equivalently in the double well system of dissipative quantum mechanics, both at vanishing temperature.

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F. Lesage, H. Saleur, S. Skorik. 1995-12-12. Time correlations in 1D quantum impurity problems. https://doi.org/10.1103/physrevlett.76.3388

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