Monte Carlo calculation of the ground-state energy of an optical polaron

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Abstract
We consider a (band) electron—LO-phonon system described by Fröhlich's Hamiltonian. Making use of functional-integration methods, one can eliminate the phonon terms exactly leading to an effective one-particle system with the same spectral properties as the original one. The (formal) free energy of this effective system is calculated numerically by means of the Monte Carlo technique. We give a detailed description and first-error estimates of our numerical procedure. Furthermore, we draw a comparison with previous work. Our results compare favorably with all earlier results of variational type of which we are aware.

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