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 a system of an arbitrary number of \textsc{1d} linearSchr\"odinger equations on a bounded interval with bilinear control. We proveglobal exact controllability in large time of these $N$ equations with a singlecontrol. This result is valid for an arbitrary potential with genericassumptions on the dipole moment of the considered particle. Thus, even in thecase of a single particle, this result extends the available literature. Theproof combines local exact controllability around finite sums of eigenstates,proved with Coron's return method, a global approximate controllabilityproperty, proved with Lyapunov strategy, and a compactness argument.

Simultaneous global exact controllability of an arbitrary number of 1D bilinear Schr\"odinger equations