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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2209.01887 |
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| _version_ | 1866912258742812672 |
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| author | Łebek, Maciej Kopyciński, Jakub Górecki, Wojciech Ołdziejewski, Rafał Pawłowski, Krzysztof |
| author_facet | Łebek, Maciej Kopyciński, Jakub Górecki, Wojciech Ołdziejewski, Rafał Pawłowski, Krzysztof |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_01887 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Phase diagram and elementary excitations of strongly interacting droplets with non-local interactions Łebek, Maciej Kopyciński, Jakub Górecki, Wojciech Ołdziejewski, Rafał Pawłowski, Krzysztof Quantum Gases 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. |
| title | Phase diagram and elementary excitations of strongly interacting droplets with non-local interactions |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2209.01887 |