Abstract
Stimulated adiabatic passage has been extensively studied to achieve robust and selective population transfer in quantum systems. Recently, the quantum-classic analogy has been rapidly developing and can be considered responsible for the implementation of the adiabatic transfer of sound energy in cavity chain systems. In this article, we investigate the adiabatic transfer of sound energy between two topological end states in the Su-Schrieffer-Heeger (SSH) cavity chain, which can be considered to be the acoustic analog of the quantum chirped-pulse excitation. The topological adiabatic passage in SSH cavity chain has two categories. When the single-cavity resonance frequencies on the sublattices A and B in the SSH cavity chain do not switch their spectrum positions, the topologically protected adiabatic evolution results in the returning passage of the sound excited in one end cavity. When a level crossing with single-cavity resonance frequencies on the sublattices A and B exhibits switch in the frequency spectrum, acoustic energy is observed to be topologically pumped between the two end cavities of the SSH chain.
Similar content being viewed by others
References
U. Gaubatz, P. Rudecki, S. Schiemann, and K. Bergmann, J. Chem. Phys. 92, 5363 (1990).
K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
N. V. Vitanov, T. Halfmann, B. W. Shore, and K. Bergmann, Annu. Rev. Phys. Chem. 52, 763 (2001).
C. Ciret, V. Coda, A. A. Rangelov, D. N. Neshev, and G. Montemezzani, Phys. Rev. A 87, 013806 (2013).
N. V. Vitanov, A. A. Rangelov, B. W. Shore, and K. Bergmann, Rev. Mod. Phys. 89, 015006 (2017), arXiv: 1605.00224.
K. Bergmann, H. C. Nägerl, C. Panda, G. Gabrielse, E. Miloglyadov, M. Quack, G. Seyfang, G. Wichmann, S. Ospelkaus, A. Kuhn, S. Longhi, A. Szameit, P. Pirro, B. Hillebrands, X. F. Zhu, J. Zhu, M. Drewsen, W. K. Hensinger, S. Weidt, T. Halfmann, H. L. Wang, G. S. Paraoanu, N. V. Vitanov, J. Mompart, T. Busch, T. J. Barnum, D. D. Grimes, R. W. Field, M. G. Raizen, E. Narevicius, M. Auzinsh, D. Budker, A. Pálffy, and C. H. Keitel, J. Phys. B-At. Mol. Opt. Phys. 52, 202001 (2019), arXiv: 1908.01611.
B. Broers, H. B. van Linden van den Heuvell, and L. D. Noordam, Phys. Rev. Lett. 69, 2062 (1992).
S. Chelkowski, and G. N. Gibson, Phys. Rev. A 52, R3417 (1995).
D. J. Maas, D. I. Duncan, R. B. Vrijen, W. J. van der Zande, and L. D. Noordam, Chem. Phys. Lett. 290, 75 (1998).
J. Karczmarek, J. Wright, P. Corkum, and M. Ivanov, Phys. Rev. Lett. 82, 3420 (1999).
J. S. Melinger, S. R. Gandhi, A. Hariharan, J. X. Tull, and W. S. Warren, Phys. Rev. Lett. 68, 2000 (1992).
L. S. Goldner, C. Gerz, R. J. C. Spreeuw, S. L. Rolston, C. I. Westbrook, W. D. Phillips, P. Marte, and P. Zoller, Phys. Rev. Lett. 72, 997 (1994).
T. Takekoshi, L. Reichsöllner, A. Schindewolf, J. M. Hutson, C. R. Le Sueur, O. Dulieu, F. Ferlaino, R. Grimm, and H. C. Nägerl, Phys. Rev. Lett. 113, 205301 (2014), arXiv: 1405.6037.
M. Guo, B. Zhu, B. Lu, X. Ye, F. Wang, R. Vexiau, N. Bouloufa-Maafa, G. Quéméner, O. Dulieu, and D. Wang, Phys. Rev. Lett. 116, 205303 (2016), arXiv: 1602.03947.
D. Møller, L. B. Madsen, and K. Mølmer, Phys. Rev. A 77, 022306 (2008), arXiv: 0710.0450.
B. Rousseaux, S. Guérin, and N. V. Vitanov, Phys. Rev. A 87, 032328 (2013).
J. Klein, F. Beil, and T. Halfmann, Phys. Rev. Lett. 99, 113003 (2007).
D. A. Golter, and H. Wang, Phys. Rev. Lett. 112, 116403 (2014).
H. K. Xu, C. Song, W. Y. Liu, G. M. Xue, F. F. Su, H. Deng, Y. Tian, D. N. Zheng, S. Han, Y. P. Zhong, H. Wang, Y. X. Liu, and S. P. Zhao, Nat. Commun. 7, 11018 (2016), arXiv: 1508.01849.
F. Gebert, Y. Wan, F. Wolf, C. N. Angstmann, J. C. Berengut, and P. O. Schmidt, Phys. Rev. Lett. 115, 053003 (2015), arXiv: 1504.03139.
C. D. Panda, B. R. O’Leary, A. D. West, J. Baron, P. W. Hess, C. Hoffman, E. Kirilov, C. B. Overstreet, E. P. West, D. DeMille, J. M. Doyle, and G. Gabrielse, Phys. Rev. A 93, 052110 (2016).
S. Longhi, G. Della Valle, M. Ornigotti, and P. Laporta, Phys. Rev. B 76, 201101 (2007), arXiv: 0709.3050.
F. Dreisow, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, and S. Longhi, Opt. Lett. 34, 2405 (2009).
R. Menchon-Enrich, A. Benseny, V. Ahufinger, A. D. Greentree, T. Busch, and J. Mompart, Rep. Prog. Phys. 79, 074401 (2016), arXiv: 1602.06658.
Y. X. Shen, Y. G. Peng, D. G. Zhao, X. C. Chen, J. Zhu, and X. F. Zhu, Phys. Rev. Lett. 122, 094501 (2019).
W. P. Su, J. R. Schrieffer, and A. J. Heeger, Phys. Rev. Lett. 42, 1698 (1979).
D. J. Thouless, Phys. Rev. B 27, 6083 (1983).
S. Q. Shen, Topological Insulators: Dirac Equation in Condensed Matters (Springer-Verlag, Berlin, 2012).
J. K. Asbóth, L. Oroszlány, and A. Pályi, A Short Course on Topological Insulators: Lecture Notes in Physics (Springer, Cham, 2016).
Y. G. Peng, C. Z. Qin, D. G. Zhao, Y. X. Shen, X. Y. Xu, M. Bao, H. Jia, and X. F. Zhu, Nat. Commun. 7, 13368 (2016), arXiv: 1508.06243.
Y. G. Peng, Y. X. Shen, D. G. Zhao, and X. F. Zhu, Appl. Phys. Lett. 110, 173505 (2017).
X. Zhang, M. Xiao, Y. Cheng, M. H. Lu, and J. Christensen, Commun. Phys. 1, 97 (2018), arXiv: 1807.09544.
Z. G. Geng, Y. G. Peng, Y. X. Shen, D. G. Zhao, and X. F. Zhu, J. Phys.-Condens. Matter 30, 345401 (2018).
Z. G. Geng, Y. G. Peng, Y. X. Shen, D. G. Zhao, and X. F. Zhu, Appl. Phys. Lett. 113, 033503 (2018).
Y. G. Peng, Y. Li, Y. X. Shen, Z. G. Geng, J. Zhu, C. W. Qiu, and X. F. Zhu, Phys. Rev. Res. 1, 033149 (2019).
Z. G. Geng, Y. G. Peng, Y. X. Shen, Z. Ma, R. Yu, J. H. Gao, and X. F. Zhu, Phys. Rev. B 100, 224105 (2019).
Y. Ding, Y. Peng, Y. Zhu, X. Fan, J. Yang, B. Liang, X. Zhu, X. Wan, and J. Cheng, Phys. Rev. Lett. 122, 014302 (2019).
A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1962).
K. Ding, G. Ma, M. Xiao, Z. Q. Zhang, and C. T. Chan, Phys. Rev. X 6, 021007 (2016), arXiv: 1509.06886.
K. Ding, G. Ma, Z. Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 121, 085702 (2018), arXiv: 1804.09561.
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Shen, YX., Zeng, LS., Geng, ZG. et al. Acoustic topological adiabatic passage via a level crossing. Sci. China Phys. Mech. Astron. 64, 244302 (2021). https://doi.org/10.1007/s11433-020-1590-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11433-020-1590-1