Breathing mode of a quantum droplet in a quasi-one-dimensional dipolar Bose gas
arXiv:2401.03918 · doi:10.1103/PhysRevA.109.043316
Abstract
We investigate the breathing mode and the stability of a quantum droplet in a tightly trapped one-dimensional dipolar gas of bosonic atoms. When the droplet with a flat-top density profile is formed, the breathing mode frequency scales as the inverse of the number of atoms in the cloud. This is straightforwardly derived within a phenomenological hydrodynamical approach and confirmed using both a variational method based on a generalized Gross-Pitaevskii action functional and the sum-rule approach. We extend our analysis also to the presence of axial confinement showing the effect of the trap on the density profile and therefore on the breathing mode frequency scaling. Our analysis confirms the stability of the quantum droplet against the particles emission when the flat-top density profile is observed. Our results can be used as a guide to the experimental investigations of collective modes to detect the formation of quantum droplets in quasi-one-dimensional dipolar gases.
RevTeX 4, 10 pages, 6 figures. Some misprints corrected (v2)
References in corpus (14)
- Self-bound droplets of a dilute magnetic quantum liquid
- Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid
- Dipolar physics: A review of experiments with magnetic quantum gases
- Observation of Quantum Droplets in a Heteronuclear Bosonic Mixture
- Collective Excitations of a One-Dimensional Quantum Droplet
- Creating quantum many-body scars through topological pumping of a 1D dipolar gas
- Strongly correlated quantum droplets in quasi-1D dipolar Bose gas
- Infinite dipolar droplet -- a simple theory for the macro-droplet regime
- The low-energy excitation spectrum of one-dimensional dipolar quantum gases
- Ground-state Properties and Bogoliubov Modes of a Harmonically Trapped One-Dimensional Quantum Droplet
- Variational Bethe Ansatz approach for dipolar one-dimensional bosons
- Formation and fragmentation of quantum droplets in a quasi-one dimensional dipolar Bose gas
- Polarization angle dependence of the breathing modes in confined one-dimensional dipolar bosons
- Effect of transverse confinement on a quasi-one dimensional dipolar Bose gas