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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Whether the many-body mobility edges can exist in a one-dimensionalinteracting quantum system is a controversial problem, mainly hampered by thelimited system sizes amenable to numerical simulations. We investigate thetransition from chaos to localization by constructing a combined random matrix,which has two extremes, one of Gaussian orthogonal ensemble and the other ofPoisson statistics, drawn from different distributions. We find that by fixinga scaling parameter, the mobility edges can exist while increasing the matrixdimension $D\rightarrow\infty$, depending on the distribution of matrixelements of the diagonal uncorrelated matrix. By applying those results to aspecific one-dimensional isolated quantum system of random diagonal elements,we confirm the existence of a many-body mobility edge, connecting it withresults on the onset of level repulsion extracted from ensembles of mixedrandom matrices.

Characterization of many-body mobility edges with random matrices