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Optical conductivity of the Frohlich polaron

A. S. Mishchenko·N. Nagaosa·N. V. Prokof'ev·A. Sakamoto·B. V. Svistunov
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Abstract

We present accurate results for optical conductivity of the three dimensional Frohlich polaron in all coupling regimes. The systematic-error free diagrammatic quantum Monte Carlo method is employed where the Feynman graphs for the momentum-momentum correlation function in imaginary time are summed up. The real-frequency optical conductivity is obtained by the analytic continuation with stochastic optimization. We compare numerical data with available perturbative and non-perturbative approaches to the optical conductivity and show that the picture of sharp resonances due to relaxed excited states in the strong coupling regime is ``washed out''by large broadening of these states. As a result, the spectrum contains only a single-maximum broad peak with peculiar shape and a shoulder.

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A. S. Mishchenko, N. Nagaosa, N. V. Prokof'ev, A. Sakamoto, B. V. Svistunov. 2003-12-04. Optical conductivity of the Frohlich polaron. https://doi.org/10.1103/physrevlett.91.236401

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