TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.4.129
TI  - Phases and dynamics of quantum droplets in the crossover to two-dimensions
PY  - 2025/04/17
UR  - https://scipost.org/SciPostPhys.18.4.129
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 4
SP  - 129
A1  - Pelayo, Jose Carlos
AU  - Bougas, George
AU  - Fogarty, Thomás
AU  - Busch, Thomas
AU  - Mistakidis, Simeon I.
AB  - We explore the ground states and dynamics of ultracold atomic droplets in the crossover region from three to two dimensions by solving the two-dimensional and the quasi two-dimensional extended Gross-Pitaevskii equations numerically and with a variational approach. By systematically comparing the droplet properties, we determine the validity regions of the pure two-dimensional description, and therefore the dominance of the logarithmic nonlinear coupling, as a function of the sign of the averaged mean-field interactions and the size of the transverse confinement. One of our main findings is that droplets become substantially extended upon transitioning from negative-to-positive averaged mean-field interactions. This is accompanied by a significant reduction of their binding energies which are approximately inversely proportional to the square of their size. To explore fundamental dynamical properties in the crossover region, we study interaction quenches and show that the droplets perform a periodic breathing motion for modest quench strengths, while larger quench amplitudes lead to continuous expansion exhibiting density ring structures. We also showcase that it is possible to form complex bulk and surface density patterns in anisotropic geometries following the quench. Since we are working with realistic parameters, our results can directly facilitate future experimental realizations.
ER  -

@Article{10.21468/SciPostPhys.18.4.129,
	title={{Phases and dynamics of quantum droplets in the crossover to two-dimensions}},
	author={Jose Carlos Pelayo and George Bougas and Thomás Fogarty and Thomas Busch and Simeon I. Mistakidis},
	journal={SciPost Phys.},
	volume={18},
	pages={129},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.4.129},
	url={https://scipost.org/10.21468/SciPostPhys.18.4.129},
}