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

The thermodynamical ground-state properties and static response in both coldatoms at or close to unitarity and neutron matter are determined using arecently proposed Density Functional Theory (DFT) based on the s-wavescattering length $a_s$, effective range $r_e$, and unitary gas limit. In coldatoms, when the effective range may be neglected, we show that the pressure,chemical potential, compressibility modulus and sound velocity obtained withthe DFT are compatible with experimental observations or exact theoreticalestimates. The static response in homogeneous infinite systems is also obtainedand a possible influence of the effective range on the response is analyzed.The neutron matter differs from unitary gas due to the non infinite scatteringlength and to a significant influence of effective range which affects allthermodynamical quantities as well as the static response. In particular, weshow for neutron matter that the latter response recently obtained inAuxiliary-Field Diffusion Monte-Carlo (AFDMC) can be qualitatively reproducedwhen the p-wave contribution is added to the functional. Our study indicatesthat the close similarity between the exact AFDMC static response and the freegas response might stems from the compensation of the $a_s$ effect by theeffective range and p-wave contributions. We finally consider the dynamicalresponse of both atoms or neutron droplets in anisotropic traps. Assuming thehydrodynamical regime and a polytropic equation of state, a reasonabledescription of the radial and axial collective frequencies in cold atoms isobtained. Following a similar strategy, we estimate the equivalent collectivefrequencies of neutron drops in anisotropic traps.

Static response, collective frequencies and ground state thermodynamical properties of spin saturated two-component cold atoms and neutron matter