TY - JOUR

T1 - Quantum droplet molecules in Bose-Bose mixtures

AU - Mohammed Elhadj, Khelifa

AU - Al Sakkaf, L.

AU - Boudjemâa, Abdelâali

AU - Al Khawaja, U.

N1 - Publisher Copyright:
© 2023 Elsevier B.V.

PY - 2024/1/15

Y1 - 2024/1/15

N2 - We investigate the interaction between two self-bound droplets separated by a finite distance in one-dimensional symmetric Bose-Bose mixtures. The main objective is to identify the regime where such two identical droplets support a stable bound-state known as droplet molecule. Our analysis is based on the generalized Gross-Pitaevskii equation, combining cubic and quadratic nonlinearities, which is solved by both variational method and numerical simulation. We calculate in particular the droplet-droplet interaction potential, the binding energy, the density profiles and the width of the droplet. It is shown that the developed variational approximation properly predicts the stability and the static and dynamic properties of such droplet molecules. Our results reveal that under appropriate adjustment of the system parameters such as the droplet separation and the number of atoms, a stable bound-state is formed in the regime of Gaussian-like shape. Nevertheless, in the flat top regime, the two droplets merge into one, leading to an unstable molecule.

AB - We investigate the interaction between two self-bound droplets separated by a finite distance in one-dimensional symmetric Bose-Bose mixtures. The main objective is to identify the regime where such two identical droplets support a stable bound-state known as droplet molecule. Our analysis is based on the generalized Gross-Pitaevskii equation, combining cubic and quadratic nonlinearities, which is solved by both variational method and numerical simulation. We calculate in particular the droplet-droplet interaction potential, the binding energy, the density profiles and the width of the droplet. It is shown that the developed variational approximation properly predicts the stability and the static and dynamic properties of such droplet molecules. Our results reveal that under appropriate adjustment of the system parameters such as the droplet separation and the number of atoms, a stable bound-state is formed in the regime of Gaussian-like shape. Nevertheless, in the flat top regime, the two droplets merge into one, leading to an unstable molecule.

KW - Droplet molecules

KW - Droplet-droplet interaction potential

KW - Generalized Gross-Pitaevskii equation

KW - Variational method

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U2 - 10.1016/j.physleta.2023.129274

DO - 10.1016/j.physleta.2023.129274

M3 - Article

AN - SCOPUS:85179893818

SN - 0375-9601

VL - 494

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

M1 - 129274

ER -