Work

Phase diagram and elementary excitations of strongly interacting droplets with non-local interactions

Year: 2025
Type: article
Abstract: A one-dimensional bosonic gas with strong contact repulsion and attractive non-local interactions may form a quantum droplet with a flat-top density profile. We focus on a system in the Tonks–Girardeau limit of infinitely strong contact repulsion. We show that the main system features are the same for a broad class of non-local interaction potentials. Then, we focus on a limiting case, the one of slowly varying density profiles, to find approximate formulas for the surface and bulk energies of a droplet. We further characterise the system by numerically finding the excitation spectrum. It consists of two families: phononic-like excitations inside droplets and scattering modes. Analysis within the linearised regime is supplemented with the full, nonlinear dynamics of small perturbations.
Language: English
Open Access status: hybrid
Estimated APC paid: $3,325
OpenAlex ID: W4407960532
FWCI: 0.375
Cites: 58
Cited by: 1
Related to: 10