|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
27 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Time Reversibility of Quantum Diffusion in Small-world Networks | | Sung-Guk Han
; Beom Jun Kim
; | | Date: |
2 Jan 2012 | | Abstract: | 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. | | Source: | arXiv, 1201.0471 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER