- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review A

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Resonance-facilitated three-channel p-wave scattering

Denise J. M. Ahmed-Braun1, Paul S. Julienne2, and Servaas J. J. M. F. Kokkelmans1

  • 1Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
  • 2Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA

PDF

Phys. Rev. A 107, 063304 – Published 9 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.063304

Abstract

Feshbach resonances of arbitrary width are typically described in terms of two-channel models. Within these models, one usually considers a single dressed resonance, with the option to extend the analysis by including resonant open-channel features that can drastically change the observed threshold effects. For the strong K40 p-wave resonance studied [Ahmed-Braun et al., Phys. Rev. Res. 3, 033269 (2021)], the interplay between an open-channel shape resonance and the Feshbach resonance could explain the unexpected nonlinear variation of the binding energy with magnetic field. However, the presented two-channel treatment relies on the introduction of two independent fitting parameters, whereas the typical Breit-Wigner expression would only account for one. This results in an effective magnetic moment that acquires a nonphysical value, which is an indication of a major shortcoming of the two-channel model treatment. In this study, we observe how the presence of a closed-channel shape resonance explains the physical mechanism behind the observations and demonstrates the need of a three-channel treatment. We introduce our model as resonance facilitated, where all coupling is mediated by the Feshbach state, while there is no direct coupling between the additional channel and the open channel. Notably, the resonance-facilitated structure greatly reduces the complexity of the full three-channel model. The typical Breit-Wigner form of the two-channel Feshbach formalism is retained and the full effect of the added channel can be captured by a single resonance dressing factor, which describes how the free propagation in the Feshbach state is dressed by the added channel.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (63)

  1. C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010).
  2. C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. 92, 040403 (2004).
  3. K. Günter, T. Stöferle, H. Moritz, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 95, 230401 (2005).
  4. J. P. Gaebler, J. T. Stewart, J. L. Bohn, and D. S. Jin, Phys. Rev. Lett. 98, 200403 (2007).
  5. J. Zhang, E. G. M. Van Kempen, T. Bourdel, L. Khaykovich, J. Cubizolles, F. Chevy, M. Teichmann, L. Tarruell, S. J. J. M. F. Kokkelmans, and C. Salomon, Phys. Rev. A 70, 030702(R) (2004).
  6. C. H. Schunck, M. W. Zwierlein, C. A. Stan, S. M. F. Raupach, W. Ketterle, A. Simoni, E. Tiesinga, C. J. Williams, and P. S. Julienne, Phys. Rev. A 71, 045601 (2005).
  7. J. Fuchs, C. Ticknor, P. Dyke, G. Veeravalli, E. Kuhnle, W. Rowlands, P. Hannaford, and C. J. Vale, Phys. Rev. A 77, 053616 (2008).
  8. T. Nakasuji, J. Yoshida, and T. Mukaiyama, Phys. Rev. A 88, 012710 (2013).
  9. M. Waseem, T. Saito, J. Yoshida, and T. Mukaiyama, Phys. Rev. A 96, 062704 (2017).
  10. F. Chevy, E. G. M. van Kempen, T. Bourdel, J. Zhang, L. Khaykovich, M. Teichmann, L. Tarruell, S. J. J. M. F. Kokkelmans, and C. Salomon, Phys. Rev. A 71, 062710 (2005).
  11. S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, S. Riedl, C. Chin, J. Hecker Denschlag, and R. Grimm, Science 302, 2101 (2003).
  12. M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, S. Gupta, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett. 91, 250401 (2003).
  13. T. Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy, M. Teichmann, L. Tarruell, S. J. J. M. F. Kokkelmans, and C. Salomon, Phys. Rev. Lett. 93, 050401 (2004).
  14. J. Kinast, S. L. Hemmer, M. E. Gehm, A. Turlapov, and J. E. Thomas, Phys. Rev. Lett. 92, 150402 (2004).
  15. C. Luciuk, S. Trotzky, S. Smale, Z. Yu, S. Zhang, and J. H. Thywissen, Nat. Phys. 12, 599 (2016).
  16. S. M. Yoshida and M. Ueda, Phys. Rev. Lett. 115, 135303 (2015).
  17. Z. Yu, J. H. Thywissen, and S. Zhang, Phys. Rev. Lett. 115, 135304 (2015).
  18. M. He, S. Zhang, H. M. Chan, and Q. Zhou, Phys. Rev. Lett. 116, 045301 (2016).
  19. S.-G. Peng, X.-J. Liu, and H. Hu, Phys. Rev. A 94, 063651 (2016).
  20. D. Vollhardt and P. Wolfle, The Superfluid Phases of Helium 3 (Courier Corporation, London, 2013).
  21. G. E. Volovik, Exotic Properties of Superfluid 3He (World Scientific, Singapore, 1992), Vol. 1.
  22. T. Cheon and T. Shigehara, Phys. Rev. Lett. 82, 2536 (1999).
  23. M. D. Girardeau and E. M. Wright, Phys. Rev. Lett. 95, 010406 (2005).
  24. M. D. Girardeau and A. Minguzzi, Phys. Rev. Lett. 96, 080404 (2006).
  25. Y. Sekino, S. Tan, and Y. Nishida, Phys. Rev. A 97, 013621 (2018).
  26. D. V. Kurlov and G. V. Shlyapnikov, Phys. Rev. A 95, 032710 (2017).
  27. N. P. Mehta, B. D. Esry, and C. H. Greene, Phys. Rev. A 76, 022711 (2007).
  28. L. Zhou and X. Cui, Phys. Rev. A 96, 030701(R) (2017).
  29. N. Read and D. Green, Phys. Rev. B 61, 10267 (2000).
  30. S. Tewari, S. Das Sarma, C. Nayak, C. Zhang, and P. Zoller, Phys. Rev. Lett. 98, 010506 (2007).
  31. C.-K. Chiu, J. C. Y. Teo, A. P. Schnyder, and S. Ryu, Rev. Mod. Phys. 88, 035005 (2016).
  32. J. Alicea, Y. Oreg, G. Refael, F. Von Oppen, and M. P. Fisher, Nat. Phys. 7, 412 (2011).
  33. Y. Jiang, D. V. Kurlov, X.-W. Guan, F. Schreck, and G. V. Shlyapnikov, Phys. Rev. A 94, 011601(R) (2016).
  34. L. Yang, X. Guan, and X. Cui, Phys. Rev. A 93, 051605(R) (2016).
  35. H. Hu, L. Pan, and S. Chen, Phys. Rev. A 93, 033636 (2016).
  36. K. B. Gubbels and H. T. C. Stoof, Phys. Rev. Lett. 99, 190406 (2007).
  37. J. Levinsen, N. R. Cooper, and V. Gurarie, Phys. Rev. A 78, 063616 (2008).
  38. B. Marcelis, E. G. M. Van Kempen, B. J. Verhaar, and S. J. J. M. F. Kokkelmans, Phys. Rev. A 70, 012701 (2004).
  39. D. J. Ahmed-Braun, K. G. Jackson, S. Smale, C. J. Dale, B. A. Olsen, S. J. Kokkelmans, P. S. Julienne, and J. H. Thywissen, Phys. Rev. Res. 3, 033269 (2021).
  40. M. Chilcott, R. Thomas, and N. Kjærgaard, Phys. Rev. Res. 3, 033209 (2021).
  41. M. Chilcott, J. F. E. Croft, R. Thomas, and N. Kjærgaard, Phys. Rev. A 106, 023303 (2022).
  42. N. F. Mott, H. S. W. Massey, and T. I. S. of Monographs on Physics, The Theory of Atomic Collisions (Clarendon Press, Oxford, 1965), Vol. 35.
  43. J. R. Taylor, Scattering Theory: The Quantum Theory of Nonrelativistic Collisions (Courier Corporation, Mineola, NY, 2006).
  44. C. Ates, T. Pohl, T. Pattard, and J. M. Rost, Phys. Rev. A 76, 013413 (2007).
  45. K. P. Heeg, M. Gärttner, and J. Evers, Phys. Rev. A 86, 063421 (2012).
  46. C. Ates, S. Sevinçli, and T. Pohl, Phys. Rev. A 83, 041802(R) (2011).
  47. D. Petrosyan, J. Otterbach, and M. Fleischhauer, Phys. Rev. Lett. 107, 213601 (2011).
  48. T. Peyronel, O. Firstenberg, Q.-Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletić, Nature (London) 488, 57 (2012).
  49. S. Sevinçli, N. Henkel, C. Ates, and T. Pohl, Phys. Rev. Lett. 107, 153001 (2011).
  50. C. Ticknor, C. A. Regal, D. S. Jin, and J. L. Bohn, Phys. Rev. A 69, 042712 (2004).
  51. V. I. Kukulin, V. Krasnopolsky, and J. Horácek, Theory of Resonances: Principles and Applications (Springer Science & Business Media, University of California, 2013), Vol. 3.
  52. T. Regge, Nuovo Cimento 8, 671 (1958).
  53. N. Hu, Phys. Rev. 74, 131 (1948).
  54. M. R. Goosen, Ph.D. thesis, Technische Universiteit Eindhoven, 2011 (unpublished).
  55. H. Nussenzveig, Nucl. Phys. 11, 499 (1959).
  56. A. J. Siegert, Phys. Rev. 56, 750 (1939).
  57. R. G. Newton, Scattering Theory of Waves and Particles (Springer Science & Business Media, Heidelberg, 2013).
  58. Quantum Gas Experiments—Exploring Many-Body States, edited by P. Törmä and K. Sengstock (Imperial College Press, London, 2014), Chap. 4.
  59. B. Gao, Phys. Rev. A 84, 022706 (2011).
  60. Y. Yudkin, P. S. Julienne, and L. Khaykovich, Phys. Rev. A 107, 053303 (2023).
  61. K. Jachymski and P. S. Julienne, Phys. Rev. A 88, 052701 (2013).
  62. Y. Wang and P. S. Julienne, Nat. Phys. 10, 768 (2014).
  63. T. Secker, D. J. M. Ahmed-Braun, P. M. A. Mestrom, and S. J. J. M. F. Kokkelmans, Phys. Rev. A 103, 052805 (2021).

Outline

Information

Phys. Rev. A 107, 063304– Published 9 June, 2023
  • Received 11 February 2023
  • Accepted 10 May 2023
Crossmark - Check for updates button

©2023 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation