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 investigate the possibility of a many-body mobility edge in thegeneralized Aubry-Andr\'e (GAA) model with interactions using the Shift-InvertMatrix Product States (SIMPS) algorithm [Phys. Rev. Lett. 118, 017201 (2017)].The non-interacting GAA model is a one-dimensional quasiperiodic model with aself-duality-induced mobility edge. To search for a many-body mobility edge inthe interacting case, we exploit the advantages of SIMPS that it targetsmany-body states in an energy-resolved fashion and does not require allmany-body states to be localized for some to converge. Our analysis indicatesthat the targeted states in the presence of the single-particle mobility edgematch neither `MBL-like' fully-converged localized states nor the fullydelocalized case where SIMPS fails to converge. We benchmark the algorithm'soutput both for parameters that give fully converged, `MBL-like' localizedstates and for delocalized parameters where SIMPS fails to converge. In theintermediate cases, where the parameters produce a single-particle mobilityedge, we find many-body states that develop entropy oscillations as a functionof cut position at larger bond dimensions. These oscillations at larger bonddimensions, which are also found in the fully-localized benchmark but not thefully-delocalized benchmark, occur both at the band edge and center and mayindicate convergence to a non-thermal state (either localized or critical).

In search of a many-body mobility edge with matrix product states in a Generalized Aubry-Andr\'e model with interactions