Decay of correlations in the dissipative two-state system

Details Decay of correlations in the dissipative two-state system Decay of correlations in the dissipative two-state system

1998-07-08

arxiv.org/abs/cond-mat/9807119v1

Europhys. Lett. 43, 117 (1998)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures, to be published in Europhys. Lett

Scientific paper

10.1209/epl/i1998-00328-9

We study the equilibrium correlation function of the polaron-dressed tunnelling operator in the dissipative two-state system and compare the asymptoptic dynamics with that of the position correlations. For an Ohmic spectral density with the damping strength $K=1/2$, the correlation functions are obtained in analytic form for all times at any $T$ and any bias. For $K<1$, the asymptotic dynamics is found by using a diagrammatic approach within a Coulomb gas representation. At T=0, the tunnelling or coherence correlations drop as $t^{-2K}$, whereas the position correlations show universal decay $\propto t^{-2}$. The former decay law is a signature of unscreened attractive charge-charge interactions, while the latter is due to unscreened dipole-dipole interactions.

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