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Correlations in one dimensional quantum impurity problems with an external field

F. Lesage·H. Saleur
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Abstract

We study response functions of integrable quantum impurity problems with an external field at $T=0$ using non perturbative techniques derived from the Bethe ansatz. We develop the first steps of the theory of excitations over the new, field dependent ground state, leading to renormalized (or ``dressed'') form-factors. We obtain exactly the low frequency behaviour of the dynamical susceptibility $χ''(ω)$ in the double well problem of dissipative quantum mechanics (or equivalently the anisotropic Kondo problem),and the low frequency behaviour of the AC noise $S_t(ω)$ for tunneling between edges in fractional quantum Hall devices. We also obtain exactly the structure of singularities in $χ''(ω)$ and $S_t(ω)$. Our results differ significantly from previous perturbative approaches.

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F. Lesage, H. Saleur. 1996-11-11. Correlations in one dimensional quantum impurity problems with an external field. https://doi.org/10.1016/s0550-3213(97)00024-2

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