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  • Access by Xinjiang University

Wetting of quantum fluids: A route to free-standing shell-shaped quantum droplets

Francesco Ancilotto

  • Dipartimento di Fisica e Astronomia “Galileo Galilei” and CNISM, Università di Padova, via Marzolo 8, 35122 Padova, Italy

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 Na23, K39, and K41 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 a12, 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 a12 and vanishes near the critical value a12c=42a0. 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.

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References (35)

  1. D. S. Petrov, Quantum mechanical stabilization of a collapsing Bose-Bose mixture, Phys. Rev. Lett. 115, 155302 (2015).
  2. 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).
  3. 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).
  4. 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).
  5. 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).
  6. 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).
  7. 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).
  8. 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).
  9. 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 Na23 and Rb87 with attractive interspecies interactions, Phys. Rev. Res. 3, 033247 (2021).
  10. 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).
  11. 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).
  12. 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).
  13. 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).
  14. Y. Ma, C. Peng, and X. Cui, Borromean droplet in three-component ultracold Bose gases, Phys. Rev. Lett. 127, 043002 (2021).
  15. Y. Ma and X. Cui, Shell-shaped quantum droplet in a three-component ultracold Bose gas, Phys. Rev. Lett. 134, 043402 (2025).
  16. F. Ancilotto, Comment on “Shell-shaped quantum droplet in a three-component ultracold Bose gas,” Phys. Rev. Lett. 135, 159301 (2025).
  17. F. Ancilotto, Quantum diatomic chain: A supersolid structure in a three-component Bose mixture, Phys. Rev. A 112, 063317 (2025).
  18. 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).
  19. 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).
  20. 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).
  21. 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).
  22. 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).
  23. A. Tononi and L. Salasnich, Low-dimensional quantum gases in curved geometries, Nat. Rev. Phys. 5, 398 (2023).
  24. A. Tononi and L. Salasnich, Shell-shaped atomic gases, Phys. Rep. 1072, 1 (2024).
  25. A. Ralston and H. S. Wilf, Mathematical Methods for Digital Computers (Wiley, New York, 1960).
  26. D. Bonn, J. Eggers, J. Indekeu, J. Meunier, and E. Rolley, Wetting and spreading, Rev. Mod. Phys. 81, 739 (2009).
  27. 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 He4 on cesium, Phys. Rev. Lett. 69, 937 (1992); D. Reinelt, J. Klier, and P. Leiderer, Wetting studies of liquid He4 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 He4 drops on alkali substrates, Phys. Rev. B 68, 024515 (2003).
  28. 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 He4 on alkali-metal surfaces from density-functional calculations, Phys. Rev. B 62, 17035 (2000).
  29. J. O. Indekeu and B. Van Schaeybroeck, Extraordinary wetting phase diagram for mixtures of Bose–Einstein condensates, Phys. Rev. Lett. 93, 210402 (2004).
  30. 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).
  31. 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).
  32. 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).
  33. F. Ancilotto, A. M. Sartori, and F. Toigo, Structure and contact angle of liquid He4 droplets on a Cs surface, Phys. Rev. B 58, 5085 (1998).
  34. K. Padavić, K. Sun, C. Lannert, and S. Vishveshwara, Vortex-antivortex physics in shell-shaped Bose-Einstein condensates, Phys. Rev. A 102, 043305 (2020).
  35. 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).

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