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arXiv · 2209.01887

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

Maciej Łebek·Jakub Kopyciński·Wojciech Górecki·Rafał Ołdziejewski·Krzysztof Pawłowski
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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.

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Maciej Łebek, Jakub Kopyciński, Wojciech Górecki, Rafał Ołdziejewski, Krzysztof Pawłowski. 2022-09-05. Phase diagram and elementary excitations of strongly interacting droplets with non-local interactions. https://doi.org/10.1088/1361-6455/adba9d

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