Abstract
Nonadiabatic holonomic quantum transformations (NHQTs) have attracted wide attention and have been applied in many aspects of quantum computation, whereas related research is usually limited to the field of quantum physics. Here we bring NHQTs into constructing a unidirectional acoustic metamaterial (UDAM) for shaping classical beams. The UDAM is made up of an array of three-waveguide couplers, where the propagation of acoustic waves mimics the evolution of NHQTs. The excellent agreement among analytical predictions, numerical simulations, and experimental measurements confirms the great applicability of NHQTs in acoustic metamaterial engineering. The present work extends research on NHQTs from quantum physics to the field of classical waves for designing metamaterials with simple structures and may pave a new way to design UDAMs that would be of potential applications in acoustic isolation, communication, and stealth.
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References
J. C. Cheng, Sci. China-Phys. Mech. Astron. 64, 244301 (2021).
S. A. Cummer, J. Christensen, and A. Alú, Nat. Rev. Mater. 1, 16001 (2016).
N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, Science 334, 333 (2011).
C. B. Hu, B. Liang, J. Yang, and J. C. Cheng, Sci. China-Phys. Mech. Astron. 64, 244304 (2021).
B. Xie, K. Tang, H. Cheng, Z. Liu, S. Chen, and J. Tian, Adv. Mater. 29, 1603507 (2017).
D. T. Li, S. B. Huang, Y. Cheng, and Y. Li, Sci. China-Phys. Mech. Astron. 64, 244303 (2021).
X. Zhu, K. Li, P. Zhang, J. Zhu, J. Zhang, C. Tian, and S. Liu, Nat. Commun. 7, 11731 (2016).
B. Liang, B. Yuan, and J. Cheng, Phys. Rev. Lett. 103, 104301 (2009).
B. Liang, X. S. Guo, J. Tu, D. Zhang, and J. C. Cheng, Nat. Mater. 9, 989 (2010).
X. F. Li, X. Ni, L. Feng, M. H. Lu, C. He, and Y. F. Chen, Phys. Rev. Lett. 106, 084301 (2011).
Y. Li, C. Shen, Y. Xie, J. Li, W. Wang, S. A. Cummer, and Y. Jing, Phys. Rev. Lett. 119, 035501 (2017).
J. Zhu, X. Zhu, X. Yin, Y. Wang, and X. Zhang, Phys. Rev. Appl. 13, 041001 (2020).
T. Liu, G. Ma, S. Liang, H. Gao, Z. Gu, S. An, and J. Zhu, Phys. Rev. B 102, 014306 (2020).
X. Wang, X. Fang, D. Mao, Y. Jing, and Y. Li, Phys. Rev. Lett. 123, 214302 (2019), arXiv: 1903.06374.
X. Zhu, H. Ramezani, C. Shi, J. Zhu, and X. Zhang, Phys. Rev. X 4, 031042 (2014).
T. Liu, X. Zhu, F. Chen, S. Liang, and J. Zhu, Phys. Rev. Lett. 120, 124502 (2018).
Y. X. Shen, Y. G. Peng, D. G. Zhao, X. C. Chen, J. Zhu, and X. F. Zhu, Phys. Rev. Lett. 122, 094501 (2019).
Y.-X. Shen, L.-S. Zeng, Z.-G. Geng, D.-G. Zhao, Y.-G. Peng, J. Zhu, and X.-F. Zhu, Sci. China-Phys. Mech. Astron. 64, 244302 (2021).
Y. X. Shen, L. S. Zeng, Z. G. Geng, D. G. Zhao, Y. G. Peng, and X. F. Zhu, Phys. Rev. Appl. 14, 014043 (2020).
L. S. Zeng, Y. X. Shen, Y. G. Peng, D. G. Zhao, and X. F. Zhu, Phys. Rev. Appl. 15, 064018 (2021).
Z. G. Chen, W. Tang, R. Y. Zhang, Z. Chen, and G. Ma, Phys. Rev. Lett. 126, 054301 (2021).
C. Y. Qiu, Sci. China-Phys. Mech. Astron. 64, 244305 (2021).
E. Knill, Nature 463, 441 (2010).
J. Preskill, arXiv: 2106.10522.
P. Zanardi, and M. Rasetti, Phys. Lett. A 264, 94 (1999).
M. V. Berry, Proc. R. Soc. Lond. A 392, 45 (1984).
F. Wilczek, and A. Zee, Phys. Rev. Lett. 52, 2111 (1984).
L. M. Duan, J. I. Cirac, and P. Zoller, Science 292, 1695 (2001), arXiv: quant-ph/0111086.
S. L. Zhu, and Z. D. Wang, Phys. Rev. Lett. 89, 097902 (2002), arXiv: quant-ph/0207037.
B. J. Liu, X. K. Song, Z. Y. Xue, X. Wang, and M. H. Yung, Phys. Rev. Lett. 123, 100501 (2019), arXiv: 1806.07904.
T. Chen, and Z. Y. Xue, Phys. Rev. Appl. 14, 064009 (2020), arXiv: 2001.05789.
T. Chen, P. Shen, and Z. Y. Xue, Phys. Rev. Appl. 14, 034038 (2020), arXiv: 2004.11132.
G. L. Long, Sci. China-Phys. Mech. Astron. 64, 250361 (2021).
P. Z. Zhao, Z. J. Z. Dong, Z. X. Zhang, G. P. Guo, D. M. Tong, and Y. Yin, Sci. China-Phys. Mech. Astron. 64, 250362 (2021).
F. Setiawan, P. Groszkowski, H. Ribeiro, and A. A. Clerk, PRX Quantum 2, 030306 (2021), arXiv: 2102.02370.
J. W. Zhang, L. L. Yan, J. C. Li, G. Y. Ding, J. T. Bu, L. Chen, S. L. Su, F. Zhou, and M. Feng, Phys. Rev. Lett. 127, 030502 (2021), arXiv: 2106.09961.
B. J. Liu, Y. S. Wang, and M. H. Yung, Phys. Rev. Res. 3, L032066 (2021), arXiv: 2008.02176.
L. A. Wu, P. Zanardi, and D. A. Lidar, Phys. Rev. Lett. 95, 130501 (2005), arXiv: quant-ph/0506086.
E. Sjöqvist, D. M. Tong, L. Mauritz Andersson, B. Hessmo, M. Johansson, and K. Singh, New J. Phys. 14, 103035 (2012), arXiv: 1107.5127.
G. F. Xu, J. Zhang, D. M. Tong, E. Sjöqvist, and L. C. Kwek, Phys. Rev. Lett. 109, 170501 (2012), arXiv: 1210.6782.
G. Feng, G. Xu, and G. Long, Phys. Rev. Lett. 110, 190501 (2013), arXiv: 1302.0384.
A. A. Abdumalikov Jr, J. M. Fink, K. Juliusson, M. Pechal, S. Berger, A. Wallraff, and S. Filipp, Nature 496, 482 (2013), arXiv: 1304.5186.
C. Zu, W. B. Wang, L. He, W. G. Zhang, C. Y. Dai, F. Wang, and L. M. Duan, Nature 514, 72 (2014), arXiv: 1411.3157.
S. Arroyo-Camejo, A. Lazariev, S. W. Hell, and G. Balasubramanian, Nat. Commun. 5, 4870 (2014).
Y. Sekiguchi, N. Niikura, R. Kuroiwa, H. Kano, and H. Kosaka, Nat. Photon. 11, 309 (2017), arXiv: 1710.04885.
H. Li, Y. Liu, and G. L. Long, Sci. China-Phys. Mech. Astron. 60, 080311 (2017), arXiv: 1703.10348.
B. B. Zhou, P. C. Jerger, V. O. Shkolnikov, F. J. Heremans, G. Burkard, and D. D. Awschalom, Phys. Rev. Lett. 119, 140503 (2017), arXiv: 1705.00654.
G. F. Xu, P. Z. Zhao, D. M. Tong, and E. Sjöqvist, Phys. Rev. A 95, 052349 (2017), arXiv: 1705.08278.
J. Zhou, B. J. Liu, Z. P. Hong, and Z. Y. Xue, Sci. China-Phys. Mech. Astron. 61, 010312 (2018), arXiv: 1705.08852.
Y. Xu, W. Cai, Y. Ma, X. Mu, L. Hu, T. Chen, H. Wang, Y. P. Song, Z. Y. Xue, Z. Yin, and L. Sun, Phys. Rev. Lett. 121, 110501 (2018), arXiv: 1804.07591.
G. F. Xu, D. M. Tong, and E. Sjöqvist, Phys. Rev. A 98, 052315 (2018), arXiv: 1810.10736.
T. Yan, B. J. Liu, K. Xu, C. Song, S. Liu, Z. Zhang, H. Deng, Z. Yan, H. Rong, K. Huang, M. H. Yung, Y. Chen, and D. Yu, Phys. Rev. Lett. 122, 080501 (2019), arXiv: 1804.08142.
N. Ramberg, and E. Sjöqvist, Phys. Rev. Lett. 122, 140501 (2019), arXiv: 1812.02927.
B. J. Liu, S. L. Su, and M. H. Yung, Phys. Rev. Res. 2, 043130 (2020), arXiv: 2005.06949.
Y. H. Chen, W. Qin, R. Stassi, X. Wang, and F. Nori, Phys. Rev. Res. 3, 033275 (2021), arXiv: 2012.06090.
J. L. Wu, Y. Wang, J. X. Han, Y. Jiang, J. Song, Y. Xia, S. L. Su, and W. Li, Phys. Rev. Appl. 16, 064031 (2021), arXiv: 2012.02935.
G. F. Xu, P. Z. Zhao, E. Sjöqvist, and D. M. Tong, Phys. Rev. A 103, 052605 (2021), arXiv: 2102.00603.
P. Shen, T. Chen, and Z. Y. Xue, Phys. Rev. Appl. 16, 044004 (2021), arXiv: 2108.01531.
S. Li, and Z. Y. Xue, Phys. Rev. Appl. 16, 044005 (2021), arXiv: 2012.09034.
Y. Li, B. Liang, X. Tao, X. Zhu, X. Zou, and J. Cheng, Appl. Phys. Lett. 101, 233508 (2012).
Y. Fu, C. Shen, Y. Cao, L. Gao, H. Chen, C. T. Chan, S. A. Cummer, and Y. Xu, Nat. Commun. 10, 2326 (2019).
J. Xia, X. Zhang, H. Sun, S. Yuan, J. Qian, and Y. Ge, Phys. Rev. Appl. 10, 014016 (2018).
Y. Y. Fu, J. Q. Tao, A. L. Song, Y. W. Liu, and Y. D. Xu, Front. Phys. 15, 52502 (2020), arXiv: 2006.00780.
K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
P. Král, I. Thanopulos, and M. Shapiro, Rev. Mod. Phys. 79, 53 (2007).
N. V. Vitanov, A. A. Rangelov, B. W. Shore, and K. Bergmann, Rev. Mod. Phys. 89, 015006 (2017), arXiv: 1605.00224.
E. Paspalakis, Opt. Commun. 258, 30 (2006).
H. S. Hristova, A. A. Rangelov, G. Montemezzani, and N. V. Vitanov, Phys. Rev. A 93, 033802 (2016).
J. Chen, L. Deng, Y. Niu, and S. Gong, Phys. Rev. A 103, 053705 (2021).
A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1962).
Y. Xie, W. Wang, H. Chen, A. Konneker, B. I. Popa, and S. A. Cummer, Nat. Commun. 5, 5553 (2014), arXiv: 1406.6306.
J. F. Haase, Z. Y. Wang, J. Casanova, and M. B. Plenio, Phys. Rev. Lett. 121, 050402 (2018), arXiv: 1708.09611.
G. F. Xu, C. L. Liu, P. Z. Zhao, and D. M. Tong, Phys. Rev. A 92, 052302 (2015), arXiv: 1511.00919.
E. Sjöqvist, Phys. Lett. A 380, 65 (2016), arXiv: 1511.00911.
E. Herterich, and E. Sjöqvist, Phys. Rev. A 94, 052310 (2016), arXiv: 1608.07418.
Z. P. Hong, B. J. Liu, J. Q. Cai, X. D. Zhang, Y. Hu, Z. D. Wang, and Z. Y. Xue, Phys. Rev. A 97, 022332 (2018), arXiv: 1710.03141.
W. Li, F. Meng, and X. Huang, Appl. Phys. Lett. 117, 021901 (2020).
S. Tang, B. Ren, Y. Feng, J. Song, and Y. Jiang, Appl. Phys. Lett. 119, 071907 (2021).
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This work was supported by the National Natural Science Foundation of China (Grant Nos. 11675046, 21973023, and 11804308), the Program for Innovation Research of Science in Harbin Institute of Technology (Grant No. A201412), the Postdoctoral Scientific Research Developmental Fund of Heilongjiang Province (Grant No. LBH-Q15060), and the Natural Science Foundation of Henan Province (Grant No. 202300410481). We thank the HPC Studio at School of Physics of Harbin Institute of Technology 37 for access to computing resources through INSPUR-HPC@PHY.HIT.EDU.
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Wu, J., Tang, S., Wang, Y. et al. Unidirectional acoustic metamaterials based on nonadiabatic holonomic quantum transformations. Sci. China Phys. Mech. Astron. 65, 220311 (2022). https://doi.org/10.1007/s11433-021-1810-6
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DOI: https://doi.org/10.1007/s11433-021-1810-6