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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study the spatial correlations of strongly interacting bosons in a groundstate, confined in two-dimensional square and three-dimensional cubic lattice.Using combined Bogoliubov method and the quantum rotor approach, we map theHamiltonian of strongly interacting bosons onto U(1) phase action in order tocalculate the atom-atom correlations decay along the principal axis and adiagonal of the lattice plane direction as a function of distance. Lowertunneling rates lead to quicker decays of the correlations, which characterbecomes exponential. Finally, correlation functions allow us to calculatequantities that are directly bound to experimental outcomes, namelytime-of-flight absorption images and resulting visibility. Our results containall the characteristic features present in experimental data (transition fromMott insulating blob to superfluid peaks, etc.), which emphasizes the usabilityof the proposed approach.

Atom-atom correlations in time-of-flight imaging of ultra-cold bosons in optical lattices