# Applications of Network Theory: From Mechanisms to Large-Scale Structure

March 28, 2011 to April 20, 2011
Europe/Stockholm timezone

## Time irreversibility of quantum diffusion in complex networks

Apr 11, 2011, 1:30 PM
20m

### Speaker

Prof. Beom Jun Kim (Sungkyunkwan University)

### Description

We study time-reversal dynamics of quantum diffusion in the Watts-Strogatz small-world networks at the rewiring probability $p$. We start from the localized wave packet, and integrate the time-dependent Schr\"odinger equation. At time $T$ a perturbation to the wave packet is made and then the system evolves backward in time until $t=2T$ is reached. We calculate the mean square displacement $\sigma(t; \eta)$ of the wave packet as a function of time $t$ at different perturbation strength $\eta$. The time irreversibility is quantitatively measured by $\sigma(2T; \eta) - \sigma(2T; 0)$, which reveals that the irreversibility linearly increases with $\eta$ in the weakly perturbed regime. The results from the WS networks and the regular network are compared.

### Presentation materials

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