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Updated: Jan 16, 2026
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
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Ground state and dynamics of one-dimensional quantum droplets
G-Y Lai1, C-H Hsueh2,3, W C Wu4
1Department of Physics, National Taiwan Normal University, Taipei, 11677, Taiwan.
Scientific Reports
|September 26, 2025
Summary
One-dimensional quantum droplets show a structural transition at a critical particle number, changing from a sharp peak to a plateau. This transition impacts superfluidity and dynamics in lattice potentials.
Area of Science:
- Ultracold atomic systems
- Quantum condensed matter physics
- Low-dimensional quantum systems
Background:
- Quantum droplets emerge from balanced interactions in ultracold atomic systems.
- One-dimensional quantum droplets are of significant interest due to their unique properties.
Purpose of the Study:
- Investigate ground-state properties and collective dynamics of 1D quantum droplets.
- Identify structural transitions and their impact on droplet behavior.
- Analyze droplet dynamics under periodic lattice potentials.
Main Methods:
- Analysis of ground-state density profiles.
- Application of super-Gaussian functions for profile fitting.
- Development of an analytical framework for dynamics in lattice potentials.
- Examination of excitation spectra in weak and strong lattice limits.
Main Results:
- A critical effective particle number was identified, marking a transition in the ground-state density profile from peaked to plateau-like.
- Super-Gaussian functions accurately model ground-state density profiles.
- In weak lattices, a Goldstone phonon mode indicates superfluidity, but Lee-Huang-Yang corrections cause instabilities at low densities.
- In strong lattices, excitation modes develop a gap, suggesting a superfluid-to-Mott-insulator crossover.
Conclusions:
- The study reveals a key structural transition in 1D quantum droplets related to particle number.
- The findings provide insights into superfluidity, instabilities, and phase transitions in these systems.
- The developed analytical framework aids in understanding quantum droplet dynamics in periodic potentials.
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