English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider the spreading of the wave packet in the generalizedRosenzweig-Porter random matrix ensemble in the region of non-ergodic extendedstates $1<\gamma<2$. We show that despite non-trivial fractal dimensions $0 <D_{q}=2-\gamma<1$ characterize wave function statistics in this region, thewave packet spreading $\langle r^{2} \rangle \propto t^{\beta}$ is governed bythe "diffusion" exponent $\beta=1$ outside the ballistic regime $t>\tau\sim 1$and $\langle r^{2}\rangle \propto t^{2}$ in the ballistic regime for$t<\tau\sim 1$. This demonstrates that the multifractality exhibits itself onlyin {\it local} quantities like the wave packet survival probability but not inthe large-distance spreading of the wave packet.

Spread of wave packets in disordered hierarchical lattices