Breathing mode of a quantum droplet in a quasi-one-dimensional dipolar Bose gas

Year: 2024

Authors: Orignac E., De Palo S., Salasnich L., Citro R.

Autors Affiliation: Univ Lyon, ENS Lyon, CNRS, Lab Phys, F-69342 Lyon, France; CNR IOM Democritos Natl UDS, Via Bonomea 265, I-34136 Trieste, Italy; Univ Trieste, Dipartimento Fis Teor, Str Costiera 11, I-34014 Trieste, Italy; Univ Padua, Dipartimento Fis & Astron Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy; Univ Padua, QTech, Via Marzolo 8, I-35131 Padua, Italy; Ist Nazl Fis Nucl, Sez Padova, Via Marzolo 8, I-35131 Padua, Italy; Ist Nazl Ott Consiglio Nazl Ric, Unita Sesto Fiorentino, Via Carrara 1, I-50019 Sesto Fiorentino, Firenze, Italy; Univ Salerno, Dipartimento Fis ER Caianiello, Via Giovanni Paolo II, I-84084 Fisciano, Sa, Italy; CNR SPIN, Via Giovanni Paolo II, I-84084 Fisciano, Sa, Italy; Ist Nazl Fis Nucl, Grp Collegato Salerno, Via Giovanni Paolo II, I-84084 Fisciano, Sa, Italy.

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 particle 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.

Journal/Review: PHYSICAL REVIEW A

Volume: 109 (4)      Pages from: 43316-1  to: 43316-10

More Information: L.S. and R.C. are p artially supported by Iniziativa Specifica Quantum of INFN (Istituto Nazionale di Fisica Nucleare) . L.S. is partially supported by the Project Frontiere Quantistiche (Dipartimenti di Eccellenza) of the Italian Ministry for Universities and Research, by the European Quantum Flagship Project PASQuanS2, by the European Union-NextGenerationEU within the National Center for HPC, Big Data and Quantum Computing [Spoke 10: Quantum Computing], by the BIRD Project Ultracold atoms in curved geometries of the University of Padova, and by the PRIN Project Quantum Atomic Mixtures: Droplets, Topological Structures, and Vortices. R.C. and S.D.P. would like to thank the Institut Henri Poincare (UAR 839 CNRS-Sorbonne Universite) and the LabEx CARMIN (ANR-10-LABX-59-01) for their support.
KeyWords: Sum-rules; Excitations; Bosons
DOI: 10.1103/PhysRevA.109.043316

Citations: 1
data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-24
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