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 a system of penetrable bosons on a line, focusing on thehigh-density/weak-interaction regime, where the ground state is, to a goodapproximation, a condensate. Under compression, the system clusterizes at zerotemperature, i.e., particles gather together in separate, equally populatedbunches. We compare predictions from the Gross-Pitaevskii (GP) equation withthose of two distinct variational approximations of the single-particle state,written as either a sum of Gaussians or the square root of it. Not only thewave functions in the three theories are similar, but also the phase-transitiondensity is the same for all. In particular, clusterization occurs together withthe softening of roton excitations in GP theory. Compared to the latter theory,Gaussian variational theory has the advantage that the mean-field energyfunctional is written in (almost) closed form, which enables us to extract thephase-transition and high-density behaviors in fully analytic terms. We alsocompute the superfluid fraction of the clustered system, uncovering its exactbehavior close, as well as very far away from, the transition.

Clusterization of weakly-interacting bosons in one dimension: an analytic study at zero temperature