SciPost Submission Page
Phases and dynamics of quantum droplets in the crossover to two-dimensions
by Jose Carlos Pelayo, George Bougas, Thomás Fogarty, Thomas Busch, Simeon I. Mistakidis
Submission summary
| Authors (as registered SciPost users): | Jose Carlos Pelayo |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2407.16383v3 (pdf) |
| Date accepted: | 2025-03-31 |
| Date submitted: | 2025-03-18 05:38 |
| Submitted by: | Pelayo, Jose Carlos |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
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.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
List of changes
• On page 7, we have modified the units of the relative energy deviation from percentages to decimals.
• On page 19, we deleted the word “thoroughly” at the beginning of the section Summary and perspectives.
• On page 19, a brief discussion has been added on the relation between the binding energy and the droplet size in the case of positive averaged mean-field interactions.
• On page 22, the value of the relative energy difference appearing in the inline equation is now in decimal form for consistency
Current status:
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)