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Extra info for New Modes of Particle Acceleration [techniques, sources]
The following qualitative diﬀerences exist between the two approaches: in , the dominant peak broadens for α 6 and the second peak does not develop, but gives rise to a ﬂat shoulder in the optical conductivity spectrum at α ≈ 6. As α increases beyond α ≈ 6, the DSG results for the OC do not produce the broad phonon sideband spectrum of the RES-transition that was qualitatively predicted in  and obtained with DQMC. Figure 5 shows that already for α = 1 noticeable diﬀerences arise between Reσ(Ω) calculated with perturbation theory to O(α), resp.
11, upper panel, with open circles and squares, respectively. The PD-scaling relation for the polaron ground-state energy as derived in  is given by (52). In Fig. 11, lower panel, the available data for the free energy from  are plotted in the following form, inspired by the lhs and the rhs parts of (52): F2D (α) (squares) and 23 F3D 3πα (open triangles). As follows from the ﬁgure, 4 the path integral Monte Carlo results for the polaron free energy in 2D and 3D very closely follow the PD-scaling relation of the form given by (52): F2D (α) ≡ 2 F3D 3 3πα 4 .
Density is found as shown in Fig. 21. Such a suppression is expected because of the screening of the Fr¨ ohlich interaction with increasing polaron density. 1 Ground-State Properties of Interacting Polarons in a Quantum Dot For a spherical quantum dot, a system of N electrons (or holes), with mutual Coulomb repulsion and interacting with the bulk phonons is analysed in [142, 144] using the variational inequality for identical particles (see [145, 146] and Subsect. 1). A parabolic conﬁnement potential, characterised by the frequency parameter Ω0 , is assumed.