Export citation

Export citation

Choose format for download:

Download Citation

    Bulk modulus of three-dimensional quantum droplets

    Zibin Zhao1, Guilong Li2, Zhaopin Chen3, Huan-Bo Luo1,4, Bin Liu1,4,*, Boris A. Malomed5,6, and Yongyao Li1,4,†

    • 1School of Physics and Optoelectronic Engineering, Foshan University, Foshan, Guangdong 528000, China
    • 2College of Engineering and Applied Sciences, National Laboratory of Solid State Microstructures, Nanjing University, Nanjing, Jiangsu 210023, China
    • 3Physics Department and Solid-State Institute, Technion, Haifa 32000, Israel
    • 4Guangdong-Hong Kong-Macao Joint Laboratory for Intelligent Micro-Nano Optoelectronic Technology, Foshan University, Foshan, Guangdong 528225, China
    • 5Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel
    • 6Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile

    • *Contact author: binliu@fosu.edu.cn
    • †Contact author: yongyaoli@gmail.com

    Phys. Rev. A 113, 043315 – Published 14 April, 2026

    DOI: https://doi.org/10.1103/cbg5-9r8v

    Abstract

    Quantum droplets (QDs), formed by ultradilute quantum fluids under the action of the Lee-Huang-Yang (LHY) effect, provide a unique platform for investigating a wide range of macroscopic quantum effects. Recent studies of QDs' breathing modes and collisional dynamics have revealed their compressibility and extensibility, which suggests that their elasticity parameters can be identified. In this work we derive the elastic bulk modulus (BM) of QDs by means of theoretical analysis and numerical simulations and establish a relation between the BM and the eigenfrequency of the QD's intrinsic vibrations. The analysis reveals the dependence of the QD's elasticity on the particle number and the strength of interparticle interactions. We additionally provide a realistic estimate of the bulk modulus for the system, yielding a concrete physical value that may serve as a reference for future experimental measurements. Taken together, these results also point to possibilities for realizing elastic media governed by the LHY effect.

    Physics Subject Headings (PhySH)

    Authorization Required

    We need you to provide your credentials before accessing this content.

    References (Subscription Required)

    Outline

    Information

    Sign In to Your Journals Account

    Filter

    Filter

    Article Lookup

    Enter a citation