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/

Zendy Plus

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

Zendy Tools

Zendy Open

We consider the evolution of N bosons, where N is large, with two-bodyinteractions of the form $N^{3\beta}v(N^\beta \cdot)$, $0\leq\beta\leq 1$. Theparameter $\beta$ measures the strength of interactions. We compare the exactevolution with an approximation which considers the evolution of a mean fieldcoupled with an appropriate description of pair excitations, see Commun. Math.Phys. 294: 273-301, 2010 and Adv. Math. 228: 1788-1815, 2011. For $0\leq\beta <1/2$, we derive an error bound of the form $p(t)/N^\alpha$, where $\alpha > 0$and $p(t)$ is a polynomial, which implies a specific rate of convergence as$N\rightarrow\infty$.

Exact Evolution versus Mean Field with Second-order correction for Bosons Interacting via Short-range Two-body Potential