Time Reversibility of Quantum Diffusion in Small-world Networks

Details Time Reversibility of Quantum Diffusion in Small-world Networks Time Reversibility of Quantum Diffusion in Small-world Networks

2012-01-02

arxiv.org/abs/1201.0471v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures (JKPS in press)

Scientific paper

We study the time-reversal dynamics of a tight-binding electron in the Watts-Strogatz (WS) small-world networks. The localized initial wave packet at time $t=0$ diffuses as time proceeds until the time-reversal operation, together with the momentum perturbation of the strength $\eta$, is made at the reversal time $T$. The time irreversibility is measured by $I \equiv |\Pi(t = 2T) - \Pi(t = 0)|$, where $\Pi$ is the participation ratio gauging the extendedness of the wavefunction and for convenience, $t$ is measured forward even after the time reversal . When $\eta = 0$, the time evolution after $T$ makes the wavefunction at $t=2T$ identical to the one at $t=0$, and we find I=0, implying a null irreversibility or a complete reversibility. On the other hand, as $\eta$ is increased from zero, the reversibility becomes weaker, and we observe enhancement of the irreversibility. We find that $I$ linearly increases with increasing $\eta$ in the weakly-perturbed region, and that the irreversibility is much stronger in the WS network than in the local regular network.

Affiliated with

Also associated with

No associations

Rating

Time Reversibility of Quantum Diffusion in Small-world Networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Time Reversibility of Quantum Diffusion in Small-world Networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time Reversibility of Quantum Diffusion in Small-world Networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-55549