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  • Letter
  • Open Access
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Tuning the critical current in toroidal superfluids via controllable impurities

K. Xhani1,2,3, G. Del Pace1,2,4,5, N. Grani1,2,5, D. Hernández-Rajkov1,2,5, B. Donelli1,2, G. Roati1,2,5, and L. Pezzè1,2

Phys. Rev. A 113, L051301 – Published 21 May, 2026

DOI: https://doi.org/10.1103/316q-596d

Abstract

We combine numerical and experimental approaches to study how impurities affect the maximum superflow in an annular Bose-Einstein condensate. By tuning the impurity density and radial position, we precisely control persistent-current stability: it increases with the number of impurities and when impurities are placed at larger radii. In the unstable regime, the complex vortex motion within the impurity landscape, characterized by pinning and unpinning events, governs the timescale of the current decay and its final value. Our work establishes atomic superfluids as a pristine platform for exploring universal mechanisms of superflow stabilization and decay, paving the way for atomtronic quantum technologies.

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References (51)

  1. P. W. Anderson, Theory of dirty superconductors, J. Phys. Chem. Solids 11, 26 (1959).
  2. A. A. Abrikosov, On the magnetic properties of superconductors of the second group, Sov. Phys. JETP 5, 1174 (1957).
  3. M. Tinkham, Introduction to Superconductivity (McGraw–Hill, New York, 1996).
  4. G. Blatter, M. V. Feigel'man, V. B. Geshkenbein, A. I. Larkin, and V. M. Vinokur, Vortices in high-temperature superconductors, Rev. Mod. Phys. 66, 1125 (1994).
  5. A. I. Larkin and Y. N. Ovchinnikov, Pinning in type-II superconductors, J. Low Temp. Phys. 34, 409 (1979).
  6. A. M. Campbell and J. E. Evetts, Flux vortices and transport currents in type-II superconductors, Adv. Phys. 21, 199 (1972).
  7. E. H. Brandt, The flux-line lattice in superconductors, Rep. Prog. Phys. 58, 1465 (1995).
  8. P. W. Anderson and N. Itoh, Pulsar glitches and restlessness as a hard superfluidity phenomenon, Nature (London) 256, 25 (1975).
  9. B. Haskell and A. Melatos, Models of pulsar glitches, Int. J. Mod. Phys. D 24, 1530008 (2015).
  10. N. B. Kopnin, Vortex dynamics and mutual friction in superconductors and Fermi superfluids, Rep. Prog. Phys. 65, 1633 (2002).
  11. W. F. Vinen and J. J. Niemela, Quantum turbulence, J. Low Temp. Phys. 128, 167 (2002).
  12. C. F. Barenghi, L. Skrbek, and K. R. Sreenivasan, Introduction to quantum turbulence, Proc. Natl. Acad. Sci. USA 111, 4647 (2014).
  13. B. Maiorov, S. A. Baily, H. Zhou, O. Ugurlu, J. A. Kennison, P. C. Dowden, T. G. Holesinger, S. R. Foltyn, and L. Civale, Synergetic combination of different types of defect to optimize pinning landscape using BaZrO3-doped YBa2Cu3O7, Nat. Mater. 8, 398 (2009).
  14. V. V. Dmitriev, A. A. Senin, A. A. Soldatov, and A. N. Yudin, Polar phase of superfluid He3in anisotropic aerogel, Phys. Rev. Lett. 115, 165304 (2015).
  15. R. Wördenweber, Engineering of superconductors and superconducting devices using artificial pinning sites, Phys. Sci. Rev. 2, 20178000 (2017).
  16. V. Neverov, Correlated disorder as a way towards robust superconductivity, Commun. Phys. 5, 177 (2022).
  17. M. N. Gastiasoro and B. M. Andersen, Enhancing superconductivity by disorder, Phys. Rev. B 98, 184510 (2018).
  18. M. Leroux, V. Mishra, J. P. C. Ruff, H. Claus, M. P. Smylie, C. Opagiste, P. Rodière, A. Kayani, G. D. Gu, J. M. Tranquada, W.-K. Kwok, Z. Islam, and U. Welp, Disorder raises the critical temperature of a cuprate superconductor, Proc. Natl. Acad. Sci. USA 116, 10691 (2019).
  19. M. D. Nguyen, J. Simon, J. W. Scott, A. M. Zimmerman, Y. C. C. Tsai, and W. P. Halperin, Orbital-flop transition of superfluid He3 in anisotropic silica aerogel, Nat. Commun. 15, 201 (2024).
  20. W.-K. Kwok, U. Welp, A. Glatz, A. E. Koshelev, K. J. Kihlstrom, and G. W. Crabtree, Vortices in high-performance high-temperature superconductors, Rep. Prog. Phys. 79, 116501 (2016).
  21. J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Direct observation of Anderson localization of matter waves in a controlled disorder, Nature (London) 453, 891 (2008).
  22. F. Jendrzejewski, A. Bernard, K. Müller, P. Cheinet, V. Josse, M. Piraud, L. Pezzè, L. Sanchez-Palencia, A. Aspect, and P. Bouyer, Three-dimensional localization of ultracold atoms in an optical disordered potential, Nat. Phys. 8, 398 (2012).
  23. B. Nagler, M. Will, S. Hiebel, S. Barbosa, J. Koch, M. Fleischhauer, and A. Widera, Ultracold Bose gases in dynamic disorder with tunable correlation time, Phys. Rev. Lett. 128, 233601 (2022).
  24. G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Anderson localization of a non-interacting Bose–Einstein condensate, Nature (London) 453, 895 (2008).
  25. D. H. White, T. A. Haase, D. J. Brown, M. D. Hoogerland, M. S. Najafabadi, J. L. Helm, C. Gies, D. Schumayer, and D. A. W. Hutchinson, Observation of two-dimensional Anderson localisation of ultracold atoms, Nat. Commun. 11, 4942 (2020).
  26. A. Ramanathan, K. C. Wright, S. R. Muniz, M. Zelan, W. T. Hill, C. J. Lobb, K. Helmerson, W. D. Phillips, and G. K. Campbell, Superflow in a toroidal Bose-Einstein condensate: An atom circuit with a tunable weak link, Phys. Rev. Lett. 106, 130401 (2011).
  27. S. Moulder, S. Beattie, R. P. Smith, N. Tammuz, and Z. Hadzibabic, Quantized supercurrent decay in an annular Bose-Einstein condensate, Phys. Rev. A 86, 013629 (2012).
  28. K. C. Wright, R. B. Blakestad, C. J. Lobb, W. D. Phillips, and G. K. Campbell, Driving phase slips in a superfluid atom circuit with a rotating weak link, Phys. Rev. Lett. 110, 025302 (2013).
  29. Y. Cai, D. G. Allman, P. Sabharwal, and K. C. Wright, Persistent currents in rings of ultracold fermionic atoms, Phys. Rev. Lett. 128, 150401 (2022).
  30. J. Polo, W. Chetcuti, T. Haug, A. Minguzzi, K. Wright, and L. Amico, Persistent currents in ultracold gases, Phys. Rep. 1137, 1 (2025).
  31. A. M. Mateo, A. Gallemí, M. Guilleumas, and R. Mayol, Persistent currents supported by solitary waves in toroidal Bose-Einstein condensates, Phys. Rev. A 91, 063625 (2015).
  32. S. Eckel, J. G. Lee, F. Jendrzejewski, N. Murray, C. W. Clark, C. J. Lobb, W. D. Phillips, M. Edwards, and G. K. Campbell, Hysteresis in a quantized superfluid atomtronic circuit, Nature (London) 506, 200 (2014).
  33. S. Eckel, F. Jendrzejewski, A. Kumar, C. L. Lobb, and G. K. Campbell, Interferometric measurement of the current-phase relationship of a superfluid weak link, Phys. Rev. X 4, 031052 (2014).
  34. L. Pezzè, K. Xhani, C. Daix, N. Grani, B. Donelli, F. Scazza, D. Hernandez-Rajkov, W. J. Kwon, G. Del Pace, and G. Roati, Stabilizing persistent currents in an atomtronic Josephson junction necklace, Nat. Commun. 15, 4831 (2024).
  35. C. Ryu, E. C. Samson, and M. G. Boshier, Quantum interference of currents in an atomtronic SQUID, Nat. Commun. 11, 3338 (2020).
  36. L. Amico, D. Anderson, M. Boshier, J.-P. Brantut, L.-C. Kwek, A. Minguzzi, and W. von Klitzing, Colloquium: Atomtronic circuits: From many-body physics to quantum technologies, Rev. Mod. Phys. 94, 041001 (2022).
  37. K. S. Gan, V. P. Singh, L. Amico, and R. Dumke, Josephson dynamics in 2D ring-shaped condensates, arXiv:2509.00533.
  38. K. Xhani, G. Del Pace, F. Scazza, and G. Roati, Decay of persistent currents in annular atomic superfluids, Atoms 11, 109 (2023).
  39. K. Xhani, A. Barresi, M. Tylutki, G. Wlazłowski, and P. Magierski, Stability of persistent currents in superfluid fermionic rings, Phys. Rev. Res. 7, 013225 (2025).
  40. G. Del Pace, K. Xhani, A. MuziFalconi, M. Fedrizzi, N. Grani, D. Hernandez Rajkov, M. Inguscio, F. Scazza, W. J. Kwon, and G. Roati, Imprinting persistent currents in tunable fermionic rings, Phys. Rev. X 12, 041037 (2022).
  41. B. Tüzemen, A. Barresi, G. Wlazłowski, P. Magierski, and K. Xhani, Impurity-controlled vortex mobility and pair-breaking in fermionic superfluid rings, arXiv:2510.24309.
  42. A. I. Yakimenko, K. O. Isaieva, S. I. Vilchinskii, and E. A. Ostrovskaya, Vortex excitation in a stirred toroidal Bose-Einstein condensate, Phys. Rev. A 91, 023607 (2015).
  43. F. Piazza, L. A. Collins, and A. Smerzi, Vortex-induced phase-slip dissipation in a toroidal Bose-Einstein condensate flowing through a barrier, Phys. Rev. A 80, 021601(R) (2009).
  44. O. R. Stockdale, M. T. Reeves, and M. J. Davis, Dynamical mechanisms of vortex pinning in superfluid thin films, Phys. Rev. Lett. 127, 255302 (2021).
  45. I.-K. Liu, S. B. Prasad, A. W. Baggaley, C. F. Barenghi, and T. S. Wood, Vortex depinning in a two-dimensional superfluid, J. Low Temp. Phys. 215, 376 (2024).
  46. R. Doran, A. J. Groszek, and T. P. Billam, Critical velocity and arrest of a superfluid in a pointlike disordered potential, Phys. Rev. A 109, 013306 (2024).
  47. We indicate with Tw0 the time the superfluid takes to make a loop around the ring at midradius r¯ and in the absence of impurities. That is, Tw0=2πr¯/v(r¯)=2πr¯2m/(w0), where v(r¯)=w0/(mr¯) is the superfluid speed at r¯ for an initial circulation w0. For the parameters of Figs. 1 and 1, namely, w0=6 and r¯=15.3µm, we have Tw046 ms. In Fig. 2, for each point we account for the corresponding set by the initial winding w0.
  48. R. Dubessy, T. Liennard, P. Pedri, and H. Perrin, Critical rotation of an annular superfluid Bose-Einstein condensate, Phys. Rev. A 86, 011602(R) (2012).
  49. G. Nesti and L. Pezzè, Increasing the stability of a superfluid in a rotating necklace potential, arXiv:2601.15159
  50. The GPE is solved numerically by the Fourier split-step method on a Cartesian grid of {Nx,Ny,Nz}={256,256,80} points dividing a grid size of length 34.846µmr34.846µm and 11.0µmz11.0µm in the radial plane and axial direction, respectively. The time step is instead set to Δt=1×105ω1.
  51. A. Kumar, R. Dubessy, T. Badr, C. De Rossi, M. de Goër de Hervé, L. Longchambon, and H. Perrin, Producing superfluid circulation states using phase imprinting, Phys. Rev. A 97, 043615 (2018).

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