Wigner delay time from a random passive and active medium

Details Wigner delay time from a random passive and active medium Wigner delay time from a random passive and active medium

1997-12-19

arxiv.org/abs/cond-mat/9712251v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages RevTex, 5 EPS figures included, communicated to PRB

Scientific paper

10.1103/PhysRevB.58.1092

We consider the scattering of electron by a one-dimensional random potential (both passive and active medium) and numerically obtain the probability distribution of Wigner delay time ($\tau$). We show that in a passive medium our probability distribution agrees with the earlier analytical results based on random phase approximation. We have extended our study to the strong disorder limit, where random phase approximation breaks down. The delay time distribution exhibits the long time tail ($1/\tau^2$) due to resonant states, which is independent of the nature of disorder indicating the universality of the tail of the delay time distribution. In the presence of coherent absorption (active medium) we show that the long time tail is suppressed exponentially due to the fact that the particles whose trajectories traverse long distances in the medium are absorbed and are unlikely to be reflected.

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