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Main Authors: Van Loock, Jeroen, Ahmed-Braun, Denise, Tempere, Jacques
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.24375
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author Van Loock, Jeroen
Ahmed-Braun, Denise
Tempere, Jacques
author_facet Van Loock, Jeroen
Ahmed-Braun, Denise
Tempere, Jacques
contents In a mixture of two Bose-Einstein condensates, the interactions can be tuned such that self-bound objects called quantum droplets appear. Whereas the ground states of such quantum droplets at finite temperature have been studied for three- and one-dimensional configurations, the possible fragmentation of these droplets has so far not been considered in these studies. In this paper, we show that droplets can lower their free energy by splitting or fragmenting in a combination of multiple smaller droplets and/or a gas. Three-dimensional droplets will split when the interspecies interaction strength is considerably stronger than the intraspecies interaction strength, and the number of atoms is of the same order as the minimum number of atoms necessary to form a droplet. One-dimensional droplets will fragment as long as the intraspecies and interspecies interactions strength do not vary too much in strength and the density is not to big compared with the scattering length. If the temperature rises, 1D droplets will split by expelling atoms, forming a gas of predominantly free atoms and pairs of atoms. These pairs remain present in the system up to considerably high temperatures compared to the transition temperature. Our results provide important insights on the stability of these droplets.
format Preprint
id arxiv_https___arxiv_org_abs_2604_24375
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Fragmentation Temperature of 1D and 3D Quantum Droplets in a BEC Mixture
Van Loock, Jeroen
Ahmed-Braun, Denise
Tempere, Jacques
Quantum Gases
In a mixture of two Bose-Einstein condensates, the interactions can be tuned such that self-bound objects called quantum droplets appear. Whereas the ground states of such quantum droplets at finite temperature have been studied for three- and one-dimensional configurations, the possible fragmentation of these droplets has so far not been considered in these studies. In this paper, we show that droplets can lower their free energy by splitting or fragmenting in a combination of multiple smaller droplets and/or a gas. Three-dimensional droplets will split when the interspecies interaction strength is considerably stronger than the intraspecies interaction strength, and the number of atoms is of the same order as the minimum number of atoms necessary to form a droplet. One-dimensional droplets will fragment as long as the intraspecies and interspecies interactions strength do not vary too much in strength and the density is not to big compared with the scattering length. If the temperature rises, 1D droplets will split by expelling atoms, forming a gas of predominantly free atoms and pairs of atoms. These pairs remain present in the system up to considerably high temperatures compared to the transition temperature. Our results provide important insights on the stability of these droplets.
title Fragmentation Temperature of 1D and 3D Quantum Droplets in a BEC Mixture
topic Quantum Gases
url https://arxiv.org/abs/2604.24375