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  • Letter
  • Open Access

Chaos-assisted turbulence in spinor Bose-Einstein condensates

Jongmin Kim1,*, Jongheum Jung1,*, Junghoon Lee1, Deokhwa Hong1, and Y. Shin1,2,†

  • *These authors contributed equally to this work.
  • †Contact author: yishin@snu.ac.kr
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Phys. Rev. Research 6, L032030 – Published 8 August, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L032030

Abstract

We present a turbulence-sustaining mechanism in a spinor Bose-Einstein condensate, which is based on the chaotic nature of internal spin dynamics. Magnetic driving induces a complete chaotic evolution of the local spin state, thereby continuously randomizing the spin texture of the condensate to maintain the turbulent state. We experimentally demonstrate the onset of turbulence in the driven condensate as the driving frequency changes and show that it is consistent with the regular-to-chaotic transition of the local spin dynamics. This chaos-assisted turbulence establishes the spin-driven spinor condensate as an intriguing platform for exploring quantum chaos and related superfluid turbulence phenomena.

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References (38)

  1. R. P. Feynmann, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics (Addison-Wesley, Reading, MA, 1971), Vol. I.
  2. M. Hideharu, Realization of a large-scale turbulence field in a small wind tunnel, Fluid Dyn. Res. 8, 53 (1991).
  3. L. Mydlarski and Z. Warhaft, On the onset of high-Reynolds-number grid-generated wind tunnel turbulence, J. Fluid Mech. 320, 331 (1996).
  4. M. R. Smith, R. J. Donnelly, N. Goldenfeld, and W. F. Vinen, Decay of vorticity in homogeneous turbulence, Phys. Rev. Lett. 71, 2583 (1993).
  5. D. Cooper, D. C. Jackson, B. E. Launder, and G. X. Liao, Impinging jet studies for turbulence model assessment—I. Flow-field experiments, Int. J. Heat Mass Transfer 36, 2675 (1993).
  6. M. Kim, D. Schanz, M. Novara, P. Godbersen, E. Yeom, and A. Schröder, Experimental study on flow and turbulence characteristics of jet impinging on cylinder using three-dimensional Lagrangian particle tracking velocimetry, Sci. Rep. 13, 10929 (2023).
  7. G. Seiden and P. J. Thomas, Complexity, segregation, and pattern formation in rotating-drum flows, Rev. Mod. Phys. 83, 1323 (2011).
  8. V. Eltsov, R. de Graaf, R. Hanninen, M. Krusius, R. Solntsev, V. L'vov, A. Golov, and P. Walmsley, Turbulent dynamics in rotating helium superfluids, Prog. Low Temp. Phys. 16, 45 (2009).
  9. M. Brunet, B. Gallet, and P.-P. Cortet, Shortcut to geostrophy in wave-driven rotating turbulence: The quartetic instability, Phys. Rev. Lett. 124, 124501 (2020).
  10. W. F. Vinen and J. J. Niemela, Quantum turbulence, J. Low Temp. Phys. 128, 167 (2002).
  11. 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).
  12. A. Alexakis and L. Biferale, Cascades and transitions in turbulent flows, Phys. Rep. 767-769, 1 (2018).
  13. L. E. Reichl, The Transition to Chaos: Conservative Classical Systems and Quantum Manifestations, 2nd ed. (Springer, New York, 2004).
  14. Y. Kawaguchi and M. Ueda, Spinor Bose–Einstein condensates, Phys. Rep. 520, 253 (2012).
  15. D. Hong, J. Lee, J. Kim, J. H. Jung, K. Lee, S. Kang, and Y. Shin, Spin-driven stationary turbulence in spinor Bose-Einstein condensates, Phys. Rev. A 108, 013318 (2023).
  16. J. H. Jung, J. Lee, J. Kim, and Y. Shin, Random spin textures in turbulent spinor Bose-Einstein condensate, Phys. Rev. A 108, 043309 (2023).
  17. F. Zhou, Quantum spin nematic states in Bose–Einstein condensates, Int. J. Mod. Phys. B 17, 2643 (2003).
  18. S. W. Seo, S. Kang, W. J. Kwon, and Y. I. Shin, Half-quantum vortices in an antiferromagnetic spinor Bose-Einstein condensate, Phys. Rev. Lett. 115, 015301 (2015).
  19. M. Rautenberg and M. Gärttner, Classical and quantum chaos in a three-mode bosonic system, Phys. Rev. A 101, 053604 (2020).
  20. B. Evrard, A. Qu, J. Dalibard, and F. Gerbier, From many-body oscillations to thermalization in an isolated spinor gas, Phys. Rev. Lett. 126, 063401 (2021).
  21. J. Choi, A. L. Shaw, I. S. Madjarov, X. Xie, R. Finkelstein, J. P. Covey, J. S. Cotler, D. K. Mark, H.-Y. Huang, A. Kale et al., Preparing random states and benchmarking with many-body quantum chaos, Nature (London) 613, 468 (2023).
  22. J. S. Cotler, D. K. Mark, H.-Y. Huang, F. Hernández, J. Choi, A. L. Shaw, M. Endres, and S. Choi, Emergent quantum state designs from individual many-body wave functions, PRX Quantum 4, 010311 (2023).
  23. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.6.L032030 for details of the numerical simulations [28, 37, 38], the spin state ensemble at various rf driving times, analysis of power-law scaling in the superfluid velocity field [29], the process of magnetic domain formation, and the model of δth(D).
  24. The second moment of any arbitrary observable O can be estimated with ρE(2) as O(2)=∑ζ∼E(ζ†Oζ)2=tr(ρE(2)O⊗2).
  25. W. W. Ho and S. Choi, Exact emergent quantum state designs from quantum chaotic dynamics, Phys. Rev. Lett. 128, 060601 (2022).
  26. M. Ippoliti and W. W. Ho, Dynamical purification and the emergence of quantum state designs from the projected ensemble, PRX Quantum 4, 030322 (2023).
  27. The size of the system is 160ξs×160ξs, covered by a 256×256 grid of equally spaced points, where ξs≃2.3µm. See Supplemental Material [23] for details.
  28. P. B. Blakie, A. Bradley, M. Davis, R. Ballagh, and C. Gardiner, Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques, Adv. Phys. 57, 363 (2008).
  29. K. Fujimoto and M. Tsubota, Spin-superflow turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates, Phys. Rev. A 90, 013629 (2014).
  30. S. Knoop, T. Schuster, R. Scelle, A. Trautmann, J. Appmeier, M. K. Oberthaler, E. Tiesinga, and E. Tiemann, Feshbach spectroscopy and analysis of the interaction potentials of ultracold sodium, Phys. Rev. A 83, 042704 (2011).
  31. In the imaging, the spin axis ẑ was adiabatically rotated to the spatial axis ẑ′.
  32. K. Fujimoto and M. Tsubota, Counterflow instability and turbulence in a spin-1 spinor Bose-Einstein condensate, Phys. Rev. A 85, 033642 (2012).
  33. K. Fujimoto and M. Tsubota, Spin turbulence with small spin magnitude in spin-1 spinor Bose-Einstein condensates, Phys. Rev. A 88, 063628 (2013).
  34. D. I. Bradley, S. N. Fisher, A. M. Guénault, R. P. Haley, G. R. Pickett, D. Potts, and V. Tsepelin, Direct measurement of the energy dissipated by quantum turbulence, Nat. Phys. 7, 473 (2011).
  35. S. P. Thampi and J. M. Yeomans, Active turbulence in active nematics, Eur. Phys. J. Spec. Top. 225, 651 (2016).
  36. R. Alert, J. Casademunt, and J.-F. Joanny, Active turbulence, Annu. Rev. Condens. Matter Phys. 13, 143 (2022).
  37. X. Antoine and R. Duboscq, GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations II: Dynamics and stochastic simulations, Comput. Phys. Commun. 193, 95 (2015).
  38. A. Polkovnikov, Phase space representation of quantum dynamics, Ann. Phys. 325, 1790 (2010).

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Phys. Rev. Research 6, L032030– Published 8 August, 2024
  • Received 1 March 2024
  • Accepted 8 July 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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