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Engineering resonating kagome dimers in Rydberg-atom arrays

Xicheng Wang*

Erich J. Mueller†

  • Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA

  • *Contact author: wangtristan127@gmail.com
  • †Contact author: em256@cornell.edu
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Phys. Rev. A 113, 013329 – Published 27 January, 2026

DOI: https://doi.org/10.1103/tkql-3pkg

Abstract

Motivated by experiments on Rydberg-atom arrays, we explore the properties of uniform quantum superpositions of kagome dimer configurations and construct an efficient algorithm for experimentally producing them. We begin by considering the thin-cylinder limit, where these states have simple descriptions. We then develop a matrix product representation of the states on arbitrary cylinders, which leads to a natural protocol to efficiently grow them. We explain how our approach can be adapted to other quantum computing hardware.

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References (59)

  1. D. S. Rokhsar and S. A. Kivelson, Phys. Rev. Lett. 61, 2376 (1988).
  2. S. Sachdev, Phys. Rev. B 40, 5204 (1989).
  3. G. Misguich, D. Serban, and V. Pasquier, Phys. Rev. Lett. 89, 137202 (2002).
  4. R. Moessner and K. S. Raman, arXiv:0809.3051.
  5. R. Moessner and K. S. Raman, Quantum dimer models, in Introduction to Frustrated Magnetism, edited by C. Lacroix, P. Mendels, and F. Mila, (Springer, Berlin, 2010), Vol. 164, pp. 437–479.
  6. R. Verresen, M. D. Lukin, and A. Vishwanath, Phys. Rev. X 11, 031005 (2021).
  7. A. W. Glaetzle, M. Dalmonte, R. Nath, I. Rousochatzakis, R. Moessner, and P. Zoller, Phys. Rev. X 4, 041037 (2014).
  8. R. Samajdar, W. W. Ho, H. Pichler, M. D. Lukin, and S. Sachdev, Proc. Natl. Acad. Sci. USA 118, e2015785118 (2021).
  9. A. Celi, B. Vermersch, O. Viyuela, H. Pichler, M. D. Lukin, and P. Zoller, Phys. Rev. X 10, 021057 (2020).
  10. G. Giudici, M. D. Lukin, and H. Pichler, Phys. Rev. Lett. 129, 090401 (2022).
  11. R. Verresen and A. Vishwanath, Phys. Rev. X 12, 041029 (2022).
  12. Y. Cheng, C. Li, and H. Zhai, New J. Phys. 25, 033010 (2023).
  13. R. Samajdar, D. G. Joshi, Y. Teng, and S. Sachdev, Phys. Rev. Lett. 130, 043601 (2023).
  14. G. Semeghini, H. Levine, A. Keesling, S. Ebadi, T. T. Wang, D. Bluvstein, R. Verresen, H. Pichler, M. Kalinowski, R. Samajdar, A. Omran, S. Sachdev, A. Vishwanath, M. Greiner, V. Vuletić, and M. D. Lukin, Science 374, 1242 (2021).
  15. K. J. Satzinger, Y.-J. Liu, A. Smith, C. Knapp, M. Newman, C. Jones, Z. Chen, C. Quintana, X. Mi, A. Dunsworth, C. Gidney, I. Aleiner, F. Arute, K. Arya, J. Atalaya, R. Babbush, J. C. Bardin, R. Barends, J. Basso, A. Bengtsson, et al., Science 374, 1237 (2021).
  16. I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Phys. Rev. Lett. 59, 799 (1987).
  17. D. Bluvstein, H. Levine, G. Semeghini, T. T. Wang, S. Ebadi, M. Kalinowski, A. Keesling, N. Maskara, H. Pichler, M. Greiner, V. Vuletić, and M. D. Lukin, Nature (London) 604, 451 (2022).
  18. L. C. Pauling, Proc. R. Soc. London A 196, 343 (1949).
  19. B. Sutherland, Phys. Rev. B 37, 3786(R) (1988).
  20. P. W. Anderson, Mater. Res. Bull. 8, 153 (1973).
  21. R. Moessner, S. L. Sondhi, and E. Fradkin, Phys. Rev. B 65, 024504 (2001).
  22. R. Tao and D. J. Thouless, Phys. Rev. B 28, 1142(R) (1983).
  23. E. H. Rezayi and F. D. M. Haldane, Phys. Rev. B 50, 17199 (1994).
  24. A. Seidel and D.-H. Lee, Phys. Rev. B 76, 155101 (2007).
  25. E. J. Bergholtz and A. Karlhede, Phys. Rev. Lett. 94, 026802 (2005).
  26. E. J. Bergholtz and A. Karlhede, Phys. Rev. B 77, 155308 (2008).
  27. X.-G. Wen, Rev. Mod. Phys. 89, 041004 (2017).
  28. S. Bravyi, M. B. Hastings, and F. Verstraete, Phys. Rev. Lett. 97, 050401 (2006).
  29. S. Bravyi, M. B. Hastings, and S. Michalakis, J. Math. Phys. 51, 093512 (2010).
  30. B. Zeng, X. Chen, D.-L. Zhou, and X.-G. Wen, Quantum Information Meets Quantum Matter: From Quantum Entanglement to Topological Phases of Many-Body Systems (Springer, New York, NY, 2019).
  31. X. Chen, Z.-C. Gu, and X.-G. Wen, Phys. Rev. B 82, 155138 (2010).
  32. A. Bauer, J. Eisert, and C. Wille, SciPost Phys. Core 5, 038 (2022).
  33. C. Schön, E. Solano, F. Verstraete, J. I. Cirac, and M. M. Wolf, Phys. Rev. Lett. 95, 110503 (2005).
  34. C. Schön, K. Hammerer, M. M. Wolf, J. I. Cirac, and E. Solano, Phys. Rev. A 75, 032311 (2007).
  35. Z.-Y. Wei, D. Malz, and J. I. Cirac, Phys. Rev. Lett. 128, 010607 (2022).
  36. M. C. Bañuls, D. Pérez-García, M. M. Wolf, F. Verstraete, and J. I. Cirac, Phys. Rev. A 77, 052306 (2008).
  37. L. Lamata, J. León, D. Pérez-García, D. Salgado, and E. Solano, Phys. Rev. Lett. 101, 180506 (2008).
  38. M. Zhang, H.-Y. Jia, and L.-F. Wei, Chin. Phys. Lett. 28, 064213 (2011).
  39. Y.-J. Liu, K. Shtengel, A. Smith, and F. Pollmann, PRX Quantum 3, 040315 (2022).
  40. H.-S. Kim, I. H. Kim, and D. Ranard, arXiv:2410.23544.
  41. X. Chen, A. Dua, M. Hermele, D. T. Stephen, N. Tantivasadakarn, R. Vanhove, and J.-Y. Zhao, Phys. Rev. B 109, 075116 (2024).
  42. P. S. Tarabunga, F. M. Surace, R. Andreoni, A. Angelone, and M. Dalmonte, Phys. Rev. Lett. 129, 195301 (2022).
  43. S. Yan, D. A. Huse, and S. R. White, Science 332, 1173 (2011).
  44. G. M. Crosswhite and D. Bacon, Phys. Rev. A 78, 012356 (2008).
  45. G. Roberts, A. Vrajitoarea, B. Saxberg, M. G. Panetta, J. Simon, and D. I. Schuster, Sci. Adv. 10, eado1069 (2024).
  46. S. J. Evered, D. Bluvstein, M. Kalinowski, S. Ebadi, T. Manovitz, H. Zhou, S. H. Li, A. A. Geim, T. T. Wang, N. Maskara, H. Levine, G. Semeghini, M. Greiner, V. Vuletić, and M. D. Lukin, Nature (London) 622, 268 (2023).
  47. X. Wang and E. J. Mueller, Zenodo, 10.5281/zenodo.17984498.
  48. P. M. Harrington, E. J. Mueller, and K. W. Murch, Nat. Rev. Phys. 4, 660 (2022).
  49. N. Maskara, S. Ostermann, J. Shee, M. Kalinowski, A. McClain Gomez, R. Araiza Bravo, D. S. Wang, A. I. Krylov, N. Y. Yao, M. Head-Gordon, M. D. Lukin, and S. F. Yelin, Nat. Phys. 21, 289 (2025).
  50. M. Saffman, T. G. Walker, and K. Mølmer, Rev. Mod. Phys. 82, 2313 (2010).
  51. L. D. Landau, Phys. Z. Sowjetunion 2, 46 (1932).
  52. C. Zener, Proc. R. Soc. London, Ser. A 137, 696 (1932).
  53. D. Guéry-Odelin, A. Ruschhaupt, A. Kiely, E. Torrontegui, S. Martínez-Garaot, and J. G. Muga, Rev. Mod. Phys. 91, 045001 (2019).
  54. S. Ebadi, T. T. Wang, H. Levine, A. Keesling, G. Semeghini, A. Omran, D. Bluvstein, R. Samajdar, H. Pichler, W. W. Ho, S. Choi, S. Sachdev, M. Greiner, V. Vuletić, and M. D. Lukin, Nature (London) 595, 227 (2021).
  55. A. Y. Kitaev, Ann. Phys. 303, 2 (2003).
  56. K. Wintersperger, F. Dommert, T. Ehmer, A. Hoursanov, J. Klepsch, W. Mauerer, G. Reuber, T. Strohm, M. Yin, and S. Luber, EPJ Quantum Technol. 10, 32 (2023).
  57. M. Iqbal, N. Tantivasadakarn, T. M. Gatterman, J. A. Gerber, K. Gilmore, D. Gresh, A. Hankin, N. Hewitt, C. V. Horst, M. Matheny, et al., Commun. Phys. 7, 205 (2024).
  58. M. Iqbal, A. Lyons, C. F. B. Lo, N. Tantivasadakarn, J. Dreiling, C. Foltz, T. M. Gatterman, D. Gresh, N. Hewitt, C. A. Holliman, et al., Nat. Commun. 16, 6301 (2025).
  59. M. Iqbal, N. Tantivasadakarn, R. Verresen, S. L. Campbell, J. M. Dreiling, C. Figgatt, J. P. Gaebler, J. Johansen, M. Mills, S. A. Moses, et al., Nature (London) 626, 505 (2024).

Outline

Information

Phys. Rev. A 113, 013329– Published 27 January, 2026
  • Received 10 July 2025
  • Revised 5 November 2025
  • Accepted 16 December 2025
Article part of CHORUS
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