Weak Localization of Short Pulses in Disordered Waveguides

S.E. Skipetrov and B.A. van Tiggelen Laboratoire de Physique et Modélisation des Milieux Condensés/CNRS, Maison des Magistères, Université Joseph Fourier, 38042 Grenoble, France

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Received: 19 05 2005;

We consider the phenomenon of weak localization of a short wave pulse in a quasi-1D disordered waveguide. We show that the long-time decay of the average transmission coefficient is not purely exponential, in contradiction with predictions of the diffusion theory. The diffusion theory breaks down completely for times exceeding the Heisenberg time. We also study the survival probability of a quantum particle in a disordered waveguide and compare our results with previous calculations using the super-symmetric nonlinear sigma model.

DOI: 10.12693/APhysPolA.109.101 PACS numbers:42.25.Dd, 78.90.+t