- Open Access
- Access by Xinjiang University
Wetting of quantum fluids: A route to free-standing shell-shaped quantum droplets
Phys. Rev. A 114, 013317 – Published 20 July, 2026
DOI: https://doi.org/10.1103/lzmy-gwp3
Abstract
We investigate wetting phenomena between self-bound quantum fluids in a three-component Bose mixture of , and atoms. Within a density-functional approach including mean-field interactions and Lee-Huang-Yang quantum-fluctuation corrections, we consider two binary quantum liquids formed by components (1, 2) and (2, 3) and study the adsorption of the softer (1, 2) liquid on a stiffer (2, 3) substrate. By tuning the interspecies scattering length , we show that the surface tension of the (1, 2) liquid can be strongly varied, driving a transition from partial wetting to complete wetting of the (2, 3) phase. The contact angle extracted from cylindrical-cap geometries decreases continuously with increasing and vanishes near the critical value . In the complete-wetting regime, a finite amount of (1, 2) liquid wraps around a spherical (2, 3) droplet, producing a self-bound core-shell droplet without external confinement, whose component-1 density has a shell-like, hollow projection. We further show that such shell-shaped quantum droplets can sustain quantized vortical excitations. These results identify wetting as a route to engineering free-standing shell-shaped quantum liquids and suggest possibilities for studying capillarity, topology, and superfluidity in multicomponent quantum droplets.
Physics Subject Headings (PhySH)
Article Text
References (35)
- D. S. Petrov, Quantum mechanical stabilization of a collapsing Bose-Bose mixture, Phys. Rev. Lett. 115, 155302 (2015).
- H. Kadau, M. Schmitt, M. Wenzel, C. Wink, T. Maier, I. Ferrier-Barbut, and T. Pfau, Observing the Rosensweig instability of a quantum ferrofluid, Nature (London) 530, 194 (2016).
- I. Ferrier-Barbut, H. Kadau, M. Schmitt, M. Wenzel, and T. Pfau, Observation of quantum droplets in a strongly dipolar Bose gas, Phys. Rev. Lett. 116, 215301 (2016).
- M. Schmitt, M. Wenzel, F. Böttcher, I. Ferrier-Barbut, and T. Pfau, Self-bound droplets of a dilute magnetic quantum liquid, Nature (London) 539, 259 (2016).
- L. Chomaz, S. Baier, D. Petter, M. J. Mark, F. Wächtler, L. Santos, and F. Ferlaino, Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macrodroplet in a dipolar quantum fluid, Phys. Rev. X 6, 041039 (2016).
- C. R. Cabrera, L. Tanzi, J. Sanz, B. Naylor, P. Thomas, P. Cheiney, and L. Tarruell, Quantum liquid droplets in a mixture of Bose-Einstein condensates, Science 359, 301 (2018).
- G. Semeghini, G. Ferioli, L. Masi, C. Mazzinghi, L. Wolswijk, F. Minardi, M. Modugno, G. Modugno, M. Inguscio, and M. Fattori, Self-bound quantum droplets of atomic mixtures in free space, Phys. Rev. Lett. 120, 235301 (2018).
- C. D'Errico, A. Burchianti, M. Prevedelli, L. Salasnich, F. Ancilotto, M. Modugno, F. Minardi, and C. Fort, Observation of quantum droplets in a heteronuclear bosonic mixture, Phys. Rev. Res. 1, 033155 (2019).
- Z. Guo, F. Jia, L. Li, Y. Ma, J. M. Hutson, X. Cui, and D. Wang, Lee-Huang-Yang effects in the ultracold mixture of and with attractive interspecies interactions, Phys. Rev. Res. 3, 033247 (2021).
- F. Bottcher, J.-N. Schmidt, J. Hertkorn, K. S. H. Ng, S. D. Graham, M. Guo, T. Langen, and T. Pfau, New states of matter with fine-tuned interactions: Quantum droplets and dipolar supersolids, Rep. Prog. Phys. 84, 012403 (2021).
- T. D. Lee, K. Huang, and C. N. Yang, Eigenvalues and eigenfunctions of a Bose system of hard spheres and its low-temperature properties, Phys. Rev. 106, 1135 (1957).
- L. Cavicchioli, C. Fort, F. Ancilotto, M. Modugno, F. Minardi, and A. Burchianti, Dynamical formation of multiple quantum droplets in a Bose-Bose mixture, Phys. Rev. Lett. 134, 093401 (2025).
- F. Ancilotto, M. Barranco, and M. Pi, Breakup of quantum liquid filaments into droplets, Phys. Rev. A 107, 063312 (2023); F. Ancilotto, M. Modugno, and C. Fort, Suppression of capillary instability in a confined quantum liquid filament, ibid. 112, 043316 (2025).
- Y. Ma, C. Peng, and X. Cui, Borromean droplet in three-component ultracold Bose gases, Phys. Rev. Lett. 127, 043002 (2021).
- Y. Ma and X. Cui, Shell-shaped quantum droplet in a three-component ultracold Bose gas, Phys. Rev. Lett. 134, 043402 (2025).
- F. Ancilotto, Comment on “Shell-shaped quantum droplet in a three-component ultracold Bose gas,” Phys. Rev. Lett. 135, 159301 (2025).
- F. Ancilotto, Quantum diatomic chain: A supersolid structure in a three-component Bose mixture, Phys. Rev. A 112, 063317 (2025).
- R. A. Carollo, D. C. Aveline, B. Rhyno, S. Vishveshwara, C. Lannert, J. D. Murphree, E. R. Elliott, J. R. Williams, R. J. Thompson, and N. Lundblad, Observation of ultracold atomic bubbles in orbital microgravity, Nature (London) 606, 281 (2022).
- F. Jia, Z. Huang, L. Qiu, R. Zhou, Y. Yan, and D. Wang, Expansion dynamics of a shell-shaped Bose-Einstein condensate, Phys. Rev. Lett. 129, 243402 (2022).
- Z. Huang, K. Y. Lee, C. K. Wong, L. Qiu, B. Yang, Y. Yan, and D. Wang, Probing the hollowing transition of a shell-shaped Bose-Einstein condensate with collective excitation, Phys. Rev. Res. 7, 033056 (2025).
- B. Rhyno, K. Sun, J. Bedessem, N. Gaaloul, N. Lundblad, and S. Vishveshwara, Shell-shaped Bose-Einstein condensates: Dynamics, excitations, and thermodynamics, AVS Quantum Sci. 8, 010501 (2026).
- K. Sun, K. Padavic, F. Yang, S. Vishveshwara, and C. Lannert, Static and dynamic properties of shell-shaped condensates, Phys. Rev. A 98, 013609 (2018); C. Lannert, T.-C. Wei, and S. Vishveshwara, Dynamics of condensate shells: Collective modes and expansion, ibid. 75, 013611 (2007).
- A. Tononi and L. Salasnich, Low-dimensional quantum gases in curved geometries, Nat. Rev. Phys. 5, 398 (2023).
- A. Tononi and L. Salasnich, Shell-shaped atomic gases, Phys. Rep. 1072, 1 (2024).
- A. Ralston and H. S. Wilf, Mathematical Methods for Digital Computers (Wiley, New York, 1960).
- D. Bonn, J. Eggers, J. Indekeu, J. Meunier, and E. Rolley, Wetting and spreading, Rev. Mod. Phys. 81, 739 (2009).
- P. J. Nacher and J. Dupont-Roc, Experimental evidence for nonwetting with superfluid helium, Phys. Rev. Lett. 67, 2966 (1991); K. S. Ketola, S. Wang, and R. B. Hallock, Anomalous wetting of helium on cesium, ibid. 68, 201 (1992); G. Mistura, H. C. Lee, and M. H. W. Chan, Quartz microbalance study of hydrogen and helium adsorbed on a rubidium surface, Physica B 194–196, 661 (1994); J. E. Rutledge and P. Taborek, Prewetting phase diagram of on cesium, Phys. Rev. Lett. 69, 937 (1992); D. Reinelt, J. Klier, and P. Leiderer, Wetting studies of liquid on various Cs surfaces, J. Low Temp. Phys. 113, 805 (1998); M. Barranco, M. Guilleumas, E. S. Hernández, R. Mayol, M. Pi, and L. Szybisz, From nonwetting to prewetting: The asymptotic behavior of drops on alkali substrates, Phys. Rev. B 68, 024515 (2003).
- E. Cheng, M. W. Cole, W. F. Saam, and J. Treiner, Helium prewetting and nonwetting on weak-binding substrates, Phys. Rev. Lett. 67, 1007 (1991); F. Ancilotto, F. Faccin, and F. Toigo, Wetting transitions of on alkali-metal surfaces from density-functional calculations, Phys. Rev. B 62, 17035 (2000).
- J. O. Indekeu and B. Van Schaeybroeck, Extraordinary wetting phase diagram for mixtures of Bose–Einstein condensates, Phys. Rev. Lett. 93, 210402 (2004).
- B. Van Schaeybroeck and J. O. Indekeu, Critical wetting, first-order wetting and prewetting phase transitions in binary mixtures of Bose–Einstein condensates, Phys. Rev. A 91, 013626 (2015).
- B. Van Schaeybroeck, P. Navez, and J. O. Indekeu, Interface potential and line tension for Bose–Einstein condensate mixtures near a hard wall, Phys. Rev. A 105, 053309 (2022).
- N. V. Thu, T. H. Phat, and P. T. Song, Wetting phase transition of two segregated Bose–Einstein condensates restricted by a hard wall, Phys. Lett. A 380, 1487 (2016).
- F. Ancilotto, A. M. Sartori, and F. Toigo, Structure and contact angle of liquid droplets on a Cs surface, Phys. Rev. B 58, 5085 (1998).
- K. Padavić, K. Sun, C. Lannert, and S. Vishveshwara, Vortex-antivortex physics in shell-shaped Bose-Einstein condensates, Phys. Rev. A 102, 043305 (2020).
- A. M. Turner, V. Vitelli, and D. R. Nelson, Vortices on curved surfaces, Rev. Mod. Phys. 82, 1301 (2010); S. J. Bereta, M. A. Caracanhas, and A. L. Fetter, Superfluid vortex dynamics on a spherical film, Phys. Rev. A 103, 053306 (2021).