Abstract
Cavity magnomechanics, exhibiting remarkable experimental tunability, rich magnonic nonlinearities, and compatibility with various quantum systems, has witnessed considerable advances in recent years. However, the potential benefits of using cavity magnomechanical (CMM) systems in further improving the performance of quantum-enhanced sensing for weak forces remain largely unexplored. Here we show that, by squeezing the magnons, the performance of a quantum CMM sensor can be significantly enhanced beyond the standard quantum limit (SQL). We find that, for comparable parameters, two orders of magnitude enhancement in the force sensitivity can be achieved in comparison with the case without magnon squeezing. Moreover, we obtain the optimal parameter regimes of homodyne angle for minimizing the added quantum noise. Our findings provide a promising approach for highly tunable and compatible quantum force sensing using hybrid CMM devices, with potential applications ranging from quantum precision measurements to quantum information processing.
Similar content being viewed by others
References
Y. Tabuchi, S. Ishino, T. Ishikawa, R. Yamazaki, K. Usami, and Y. Nakamura, Phys. Rev. Lett. 113, 083603 (2014).
R. Hisatomi, A. Osada, Y. Tabuchi, T. Ishikawa, A. Noguchi, R. Yamazaki, K. Usami, and Y. Nakamura, Phys. Rev. B 93, 174427 (2016).
D. Lachance-Quirion, Y. Tabuchi, S. Ishino, A. Noguchi, T. Ishikawa, R. Yamazaki, and Y. Nakamura, Sci. Adv. 3, e1603150 (2017).
D. Lachance-Quirion, Y. Tabuchi, A. Gloppe, K. Usami, and Y. Nakamura, Appl. Phys. Express 12, 070101 (2019).
S. P. Wolski, D. Lachance-Quirion, Y. Tabuchi, S. Kono, A. Noguchi, K. Usami, and Y. Nakamura, Phys. Rev. Lett. 125, 17701 (2020).
B. Z. Rameshti, S. V. Kusminskiy, J. A. Haigh, K. Usami, D. Lachance-Quirion, Y. Nakamura, C.-M. Hu, H. X. Tang, G. E. W. Bauer, and Y. M. Blanter, Phys. Rep. 979, 1 (2022).
X. Zhang, C. L. Zou, L. Jiang, and H. X. Tang, Phys. Rev. Lett. 113, 156401 (2014).
C. A. Potts, Phys. Rev. X 12, 070101 (2021).
X. Zuo, Z. Y. Fan, H. Qian, M. S. Ding, H. Tan, H. Xiong, and J. Li, New J. Phys. 26, 031201 (2024).
X. Zhang, C. L. Zou, L. Jiang, and H. X. Tang, Sci. Adv. 2, e1501286 (2016).
J. Li, S. Y. Zhu, and G. S. Agarwal, Phys. Rev. Lett. 121, 203601 (2018).
H. Yu, L. McCuller, M. Tse, N. Kijbunchoo, L. Barsotti, N. Mavalvala, J. Betzwieser, C. D. Blair, S. E. Dwyer, A. Effler, M. Evans, A. Fernandez-Galiana, P. Fritschel, V. V. Frolov, F. Matichard, D. E. McClelland, T. McRae, A. Mullavey, D. Sigg, B. J. J. Slagmolen, C. Whittle, A. Buikema, Y. Chen, T. R. Corbitt, R. Schnabel, R. Abbott, C. Adams, R. X. Adhikari, A. Ananyeva, S. Appert, K. Arai, J. S. Areeda, Y. Asali, S. M. Aston, C. Austin, A. M. Baer, M. Ball, S. W. Ballmer, S. Banagiri, D. Barker, J. Bartlett, B. K. Berger, D. Bhattacharjee, G. Billingsley, S. Biscans, R. M. Blair, N. Bode, P. Booker, R. Bork, A. Bramley, A. F. Brooks, D. D. Brown, C. Cahillane, K. C. Cannon, X. Chen, A. A. Ciobanu, F. Clara, S. J. Cooper, K. R. Corley, S. T. Countryman, P. B. Covas, D. C. Coyne, L. E. H. Datrier, D. Davis, C. Di Fronzo, K. L. Dooley, J. C. Driggers, P. Dupej, T. Etzel, T. M. Evans, J. Feicht, P. Fulda, M. Fyffe, J. A. Giaime, K. D. Giardina, P. Godwin, E. Goetz, S. Gras, C. Gray, R. Gray, A. C. Green, A. Gupta, E. K. Gustafson, R. Gustafson, J. Hanks, J. Hanson, T. Hardwick, R. K. Hasskew, M. C. Heintze, A. F. Helmling-Cornell, N. A. Holland, J. D. Jones, S. Kandhasamy, S. Karki, M. Kasprzack, K. Kawabe, P. J. King, J. S. Kissel, R. Kumar, M. Landry, B. B. Lane, B. Lantz, M. Laxen, Y. K. Lecoeuche, J. Leviton, J. Liu, M. Lormand, A. P. Lundgren, R. Macas, M. MacInnis, D. M. Macleod, G. L. Mansell, S. Marka, Z. Marka, D. V. Martynov, K. Mason, T. J. Massinger, R. McCarthy, S. McCormick, J. McIver, G. Mendell, K. Merfeld, E. L. Merilh, F. Meylahn, T. Mistry, R. Mittleman, G. Moreno, C. M. Mow-Lowry, S. Mozzon, T. J. N. Nelson, P. Nguyen, L. K. Nuttall, J. Oberling, R. J. Oram, C. Osthelder, D. J. Ottaway, H. Overmier, J. R. Palamos, W. Parker, E. Payne, A. Pele, C. J. Perez, M. Pirello, H. Radkins, K. E. Ramirez, J. W. Richardson, K. Riles, N. A. Robertson, J. G. Rollins, C. L. Romel, J. H. Romie, M. P. Ross, K. Ryan, T. Sadecki, E. J. Sanchez, L. E. Sanchez, T. R. Saravanan, R. L. Savage, D. Schaetzl, R. M. S. Schofield, E. Schwartz, D. Sellers, T. Shaffer, J. R. Smith, S. Soni, B. Sorazu, A. P. Spencer, K. A. Strain, L. Sun, M. J. Szczepańczyk, M. Thomas, P. Thomas, K. A. Thorne, K. Toland, C. I. Torrie, G. Traylor, A. L. Urban, G. Vajente, G. Valdes, D. C. Vander-Hyde, P. J. Veitch, K. Venkateswara, G. Venugopalan, A. D. Viets, T. Vo, C. Vorvick, M. Wade, R. L. Ward, J. Warner, B. Weaver, R. Weiss, B. Willke, C. C. Wipf, L. Xiao, H. Yamamoto, H. Yu, L. Zhang, M. E. Zucker, and J. Zweizig, Nature 583, 43 (2020).
Z. Fan, L. Qiu, S. Gröblacher, and J. Li, Laser Photonics Rev. 17, 2200866 (2023).
Z. Y. Fan, H. Qian, X. Zuo, and J. Li, Phys. Rev. A 108, 023501 (2023).
D. Xu, X. K. Gu, H. K. Li, Y. C. Weng, Y. P. Wang, J. Li, H. Wang, S. Y. Zhu, and J. Q. You, Phys. Rev. Lett. 130, 193603 (2023).
Y. Wang, W. Xiong, Z. Xu, G.-Q. Zhang, and J.-Q. You, Sci. China-Phys. Mech. Astron. 65, 260314 (2021).
J. Li, and S. Y. Zhu, New J. Phys. 21, 085001 (2019).
J. Li, Y.-P. Wang, J.-Q. You, and S.-Y. Zhu, Nat. Sci. Rev. 10, nwac247 (2023).
J. Li, and S. Groblacher, Quantum Sci. Technol. 6, 024005 (2021).
G. T. Xu, M. Zhang, Y. Wang, Z. Shen, G. C. Guo, and C. H. Dong, Phys. Rev. Lett. 131, 243601 (2023).
Y. Wang, H.-L. Zhang, J.-L. Wu, J. Song, K. Yang, W. Qin, H. Jing, and L.-M. Kuang, Sci. China-Phys. Mech. Astron. 66, 110311 (2023).
A. Kani, B. Sarma, and J. Twamley, Phys. Rev. Lett. 128, 013602 (2022).
J. Qian, J. Li, S.-Y. Zhu, J. Q. You, and Y.-P. Wang, arXiv:2307.03944
Y. P. Wang, G. Q. Zhang, D. Zhang, X. Q. Luo, W. Xiong, S. P. Wang, T. F. Li, C. M. Hu, and J. Q. You, Phys. Rev. B 94, 224410 (2016).
M. Scully, and M. Zubairy, Quantum Optics, (Cambridge University Press, Cambridge, 1996).
G. S. Agarwal, Quantum optics (Cambridge University Press, Cambridge, 2013).
Z. Zhang, M. O. Scully, and G. S. Agarwal, Phys. Rev. Res. 1, 023021 (2019).
Z. B. Yang, W. J. Wu, J. Li, Y. P. Wang, and J. Q. You, Phys. Rev. A 106, 012419 (2022).
G. Q. Zhang, Y. P. Wang, and J. Q. You, Sci. China-Phys. Mech. Astron. 62, 987511 (2019).
Y. P. Wang, G. Q. Zhang, D. Zhang, T. F. Li, C. M. Hu, and J. Q. You, Phys. Rev. Lett. 120, 057202 (2018).
R. C. Shen, Y. P. Wang, J. Li, S. Y. Zhu, G. S. Agarwal, and J. Q. You, Phys. Rev. Lett. 127, 183202 (2021).
R.-C. Shen, J. Li, Z.-Y. Fan, Y.-P. Wang, and J. Q. You, Phys. Rev. Lett. 129, 123601 (2022).
M. Asjad, J. Li, S.-Y. Zhu, and J. Q. You, Fundam. Res. 3, 3 (2022).
D. Zoepfl, M. L. Juan, N. Diaz-Naufal, C. M. F. Schneider, L. F. Deeg, A. Sharafiev, A. Metelmann, and G. Kirchmair, Phys. Rev. Lett. 130, 033601 (2023).
Q. Zheng, W. Zhong, G. Cheng, and A. Chen, Optics Commun. 546, 129796 (2023).
C. Kong, J. Liu, and H. Xiong, Front. Phys. 18, 12501 (2023).
C. Kong, H. Xiong, and Y. Wu, Phys. Rev. Appl. 12, 034001 (2019).
D. Mason, J. Chen, M. Rossi, Y. Tsaturyan, and A. Schliesser, Nat. Phys. 15, 745 (2019).
W. Zhao, S.-D. Zhang, A. Miranowicz, and H. Jing, Sci. China-Phys. Mech. Astron. 63, 224211 (2019).
T. Gebremariam, Y.-X. Zeng, M. Mazaheri, and C. Li, Sci. China-Phys. Mech. Astron. 63, 210311 (2020).
Y.-W. Hu, Y.-F. Xiao, Y.-C. Liu, and Q. Gong, Front. Phys. 8, 475 (2013).
S. Forstner, S. Prams, J. Knittel, E. D. van Ooijen, J. D. Swaim, G. I. Harris, A. Szorkovszky, W. P. Bowen, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 108, 120801 (2012).
S. Forstner, E. Sheridan, J. Knittel, C. L. Humphreys, G. A. Brawley, H. Rubinsztein-Dunlop, and W. P. Bowen, Adv. Mater. 26, 6348 (2014).
F. Gotardo, B. J. Carey, H. Greenall, G. I. Harris, E. Romero, D. Bulla, E. M. Bridge, J. S. Bennett, S. Foster, and W. P. Bowen, Opt. Express 31, 37663 (2023).
A. G. Krause, M. Winger, T. D. Blasius, Q. Lin, and O. Painter, Nat. Photon. 6, 768 (2012).
F. G. Cervantes, L. Kumanchik, J. Pratt, and J. M. Taylor, Appl. Phys. Lett. 104, 221111 (2014).
M. Koppenhöfer, C. Padgett, J. V. Cady, V. Dharod, H. Oh, A. C. Bleszynski Jayich, and A. A. Clerk, Phys. Rev. Lett. 130, 093603 (2023).
W. Yu, W. C. Jiang, Q. Lin, and T. Lu, Nat. Commun. 7, 12311 (2016).
M. Sansa, M. Defoort, A. Brenac, M. Hermouet, L. Banniard, A. Fafin, M. Gely, C. Masselon, I. Favero, G. Jourdan, and S. Hentz, Nat. Commun. 11, 3781 (2020).
Y. Xia, A. R. Agrawal, C. M. Pluchar, A. J. Brady, Z. Liu, Q. Zhuang, D. J. Wilson, and Z. Zhang, Nat. Photon. 17, 470 (2023).
Z. Shen, G. T. Xu, M. Zhang, Y. L. Zhang, Y. Wang, C. Z. Chai, C. L. Zou, G. C. Guo, and C. H. Dong, Phys. Rev. Lett. 129, 243601 (2022).
T. Chalopin, C. Bouazza, A. Evrard, V. Makhalov, D. Dreon, J. Dalibard, L. A. Sidorenkov, and S. Nascimbene, Nat. Commun. 9, 4955 (2018).
B. J. Lawrie, P. D. Lett, A. M. Marino, and R. C. Pooser, ACS Photonics 6, 1307 (2019).
F. Nori, R. Merlin, S. Haas, A. W. Sandvik, and E. Dagotto, Phys. Rev. Lett. 75, 553 (1995).
X. Hu, and F. Nori, Phys. Rev. Lett. 76, 2294 (1996).
X. Hu, and F. Nori, Phys. Rev. Lett. 79, 4605 (1997).
G. Y. Xiang, B. L. Higgins, D. W. Berry, H. M. Wiseman, and G. J. Pryde, Nat. Photon. 5, 43 (2010).
M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Rev. Mod. Phys. 86, 1391 (2014).
Y. Yang, Y.-P. Wang, J. W. Rao, Y. S. Gui, B. M. Yao, W. Lu, and C.-M. Hu, Phys. Rev. Lett. 125, 147202 (2020).
F. Martin Ciurana, G. Colangelo, L. Slodicka, R. J. Sewell, and M. W. Mitchell, Phys. Rev. Lett. 119, 043603 (2017).
L. Z. Liu, Y. Z. Zhang, Z. D. Li, R. Zhang, X. F. Yin, Y. Y. Fei, L. Li, N. L. Liu, F. Xu, Y. A. Chen, and J. W. Pan, Nat. Photon. 15, 137 (2021).
J.-X. Liu, Y.-F. Jiao, Y. Li, X.-W. Xu, Q.-Y. He, and H. Jing, Sci. China-Phys. Mech. Astron. 66, 230312 (2023).
A. J. Brady, X. Chen, Y. Xia, J. Manley, M. Dey Chowdhury, K. Xiao, Z. Liu, R. Harnik, D. J. Wilson, Z. Zhang, and Q. Zhuang, Commun Phys 6, 1 (2023).
J. Ma, X. Wang, C.-P. Sun, and F. Nori, Phys. Rep. 509, 89 (2011).
X. Hu, and F. Nori, Phys. Rev. B 53, 2419 (1996).
X. Hu, and F. Nori, Physica B: Condensed Matter 263, 16 (1999).
A. M. Zagoskin, E. Il’chev, M. W. McCutcheon, J. F. Young, and F. Nori, Phys. Rev. Lett. 101, 253602 (2008).
A. M. Zagoskin, E. Il’ichev, and F. Nori, Phys. Rev. A 85, 063811 (2012).
L. Tang, J. Tang, M. Chen, F. Nori, M. Xiao, and K. Xia, Phys. Rev. Lett. 128, 083604 (2022).
W. Qin, A. Miranowicz, and F. Nori, Phys. Rev. Lett. 129, 123602 (2022).
D. Zhang, X.-M. Wang, T.-F. Li, X.-Q. Luo, W. Wu, F. Nori, and J. Q. You, npj Quantum Inf. 1, 15014 (2015).
H. Jing, K. Özdemir, X. Y. LU, J. Zhang, L. Yang, and F. Nori, Phys. Rev. Lett. 113, 053604 (2014).
T.-X. Lu, Y. Wang, K. Xia, X. Xiao, L.-M. Kuang, and H. Jing, Sci. China-Phys. Mech. Astron. 67, 260312 (2024).
T. Kuang, R. Huang, W. Xiong, Y. Zuo, X. Han, F. Nori, C.-W. Qiu, H. Luo, H. Jing, and G. Xiao, Nat. Phys. 19, 414 (2023).
X.-W. Xu, J.-Q. Liao, H. Jing, and L.-M. Kuang, Sci. China-Phys. Mech. Astron. 66, 100312 (2023).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest The authors declare that they have no conflict of interest.
Additional information
Hui Jing is supported by the National Natural Science Foundation of China (Grant No. 11935006), the Science and Technology Innovation Program of Hunan Province (Grant No. 2020RC4047), National Key R&D Program of China (Grant No. 2024YFE0102400) and Hunan Provincial Major Scitech Program (Grant No. 2023ZJ1010). Tian-Xiang Lu is supported by the National Natural Science Foundation of China (Grant No. 12205054), and Ph.D. Research Foundation (BSJJ202122). Ran Huang is supported by the Japan Society for the Promotion of Science (JSPS) Postdoctoral Fellowships for Research in Japan (No. P22018). Franco Nori is supported in part by: Nippon Telegraph and Telephone Corporation (NTT) Research, the Japan Science and Technology Agency (JST) (via the Quantum Leap Flagship Program (Q-LEAP), and the Moonshot R&D (Grant No. JPMJMS2061)), the Asian Office of Aerospace Research and Development (AOARD) (Grant No. FA2386-20-1-4069), and the Office of Naval Research (ONR) Global (Grant No. N62909-23-1-2074).
Rights and permissions
About this article
Cite this article
Zhang, Q., Wang, J., Lu, TX. et al. Quantum weak force sensing with squeezed magnomechanics. Sci. China Phys. Mech. Astron. 67, 100313 (2024). https://doi.org/10.1007/s11433-024-2432-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11433-024-2432-9