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

The entangling power and operator entanglement entropy are state independentmeasures of entanglement. Their growth and saturation is examined in thetime-evolution operator of quantum many-body systems that can range from theintegrable to the fully chaotic. An analytically solvable integrable model ofthe kicked transverse field Ising chain is shown to have ballistic growth ofoperator von Neumann entanglement entropy and exponentially fast saturation ofthe linear entropy with time. Surprisingly a fully chaotic model withlongitudinal fields turned on shares the same growth phase, and is consistentwith a random matrix model that is also exactly solvable for the linear entropyentanglements. However an examination of the entangling power shows that itslargest value is significantly less than the nearly maximal value attained bythe nonintegrable one. The importance of long-range spectral correlations, andnot just the nearest neighbor spacing, is pointed out in determing the growthof entanglement in nonintegrable systems. Finally an interesting case thatdisplays some features peculiar to both integrable and nonintegrable systems isbriefly discussed.

Entangling power of time-evolution operators in integrable and nonintegrable many-body systems