SHAPING THE DYNAMICS OF AHARONOV-BOHM CAGED LOCALIZED MODES BY NONLINEARITY
Abstract
Two-dimensional dice lattice can be dressed by artificial flux to host the Aharonov-Bohm (AB) caging effect resulting in the occurrence of a fully flatband spectrum. Here, we focus on the dynamics of flatband compact localized eigenmodes shared by a few unit cells in two snowflake configurations. We numerically show the possibility of dynamically stable propagation of two types of compact localized complexes by tuning the nonlinearity. The AB caging is imprinted in complexes dynamics regardless of the type and strength of nonlinearity. On the other hand, nonlinearity can only affect the appearance of the caged complex. These findings open a new route for the manipulation of structured light in photonic systems.
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Aharonov Y., Bohm, D., 1959. Phys. Rev., 115(3), 485, doi:10.1103/PhysRev.115.485
Aoki, H., 2020. J. Supercond. Nov. Magn., 33, 1557-1947, doi:10.1007/s10948-019-05366-4
Creffield, C. E., Pieplow, G., Sols, F., Goldman, N., 2016. New J. Phys., 18, 093013, doi:10.1088/1367-2630/18/9/093013
Danieli, C., Andreanov, A., Mithun, T., Flach, S., 2021. Phys. Rev. B, 104(8), 085131, doi:10.1103/PhysRevB.104.085131
Danieli, C., Maluckov, A., Flach, S., 2018. Low Temp. Phys., 44, 678-687, doi:10.1063/1.5041434
Derzhko, O., Richter, J., Maksymenko, M., 2015. Int. J. Mod. Phys. B, 29,
, doi:10.1142/S0217979215300078
Gligorić, G., Beličev, P. P., Leykam, D., Maluckov, A., 2019. Phys. Rev. A, 99, 013826, doi:10.1103/PhysRevA.99.013826
Gligorić, G., Leykam, D., Maluckov, A., 2020. Phys. Rev. A, 101, 023839, doi:10.1103/PhysRevA.101.023839
He, Y., Mao, R., Cai, H., Zhang, J. X., Li, Y., Yuan, L., Zhu, S.J., Wang, D. W., 2021. Phys. Rev. Lett., 126, 103601, doi:10.1103/PhysRevLett.126.103601
Jörg, C., Queraltó, G., Kremer, M., Pelegrí, G., Schulz, J., Szameit, A., Freymann, G., Mompart, J., Ahufinger, V., 2020. Light: Science & Applications, 9, 1-7, doi:10.1038/s41377-020-00385-6
Leykam, D., Andreanov, A., Flach, S., 2018. Adv. Phys. X, 3, 1473052, doi:10.1080/23746149.2018.1473052
Leykam, D., Bliokh, K. Y., Huang, C., Chong, Y. D., Nori, F., 2017. Phys. Rev. Lett., 118, 040401, doi:10.1103/PhysRevLett.118.040401
Leykam, D., Flach, S., 2018. APL Photonics, 3, 070901, doi:10.1063/1.5034365
Leykam, D., Yuan, L., 2020. Nanophotonics, 9, 4473-4487, doi:10.1515/nanoph-2020-0415
Liang, G. Q., Chong, Y. D., 2013. Phys. Rev. Lett., 110, 203904, doi:10.1103/PhysRevLett.110.203904
Lisi, S., Lu, X., Benschop, T., de Jong, T. A., Stepanov, P., Duran, J. R., Margot, F., Cucchi, I., Cappelli, E., Hunter, A., Tamai, A., Kandyba, V., Giampietri, A., Barinov, A., Jobst, J., Stalman, V., Leeuwenhoek, M., Watanabe, K., Taniguchi, T., 2021. Nat. Phys., 17, 189–193, doi:10.1038/s41567-020-01041-x
Longhi, S., 2014. Opt. Lett., 39, 5892, doi:10.1364/OL.39.005892
Mittal, S., Ganeshan, S., Fan, J., Vaezi, A., Hafezi, M., 2016. Nat. Photonics, 10, 180-183, doi:10.1038/nphoton.2016.10
Morales-Inostroza, L., Vicencio, R. A., 2016. Phys. Rev. A, 94, 043831, doi:10.1103/PhysRevA.94.043831
Mukherjee, S. Di Liberto, M., Öhberg, P., Thomson, R. R., Goldman, N., 2018. Phys. Rev. Lett.,121, 075502, doi: 10.1103/PhysRevLett.121.075502
Mukherjee S., Thomson, R. R., 2017. Opt. Lett., 42, 2243-2246, doi:10.1364/OL.42.002243
Parameswaran, S. A., Roy, R., Sondhi, S. L, 2013. CR Phys., 14, 816-839, doi:10.1016/j.crhy.2013.04.003
Real, B., Cantillano, C., López-González, D., Szameit, A., Aono, M., Naruse, M., Kim, S. J., Wang, K., Vicencio, R. A., 2017. Sci. Rep., 7, 15085, doi:10.1038/s41598-017-15441-2
Stojanović, M. G., Gündoğdu, S., Leykam, D., Angelakis, D. G., Stojanović-Krasić, M., Stepić, M., and Maluckov, A., 2021. arXiv preprint arXiv:2111.13387
Verboven, T., 2016. Master Thesis: Generating Gauge Fields in Optical Kagome and Dice Lattices. Institute for Theoretical Physics, Utrecht; Institute of Photonic Sciences, Barcelona.
Vicencio, R. A., 2021. Adv. Phys. X, 6:1, doi:10.1080/23746149.2021.1878057
Vicencio, R. A., Cantillano, C., Morales-Inostroza, L., Real, B., Mejía-Cortés, C., Weimann, S., Szameit, A., Molina, M. I., 2015. Phys. Rev. Lett., 114, 245503, doi:10.1103/PhysRevLett.114.245503
Vidal, J., Butaud, P., Douçot, B., Mosseri, R., 2001. Phys. Rev. B, 64, 155306, doi:10.1103/PhysRevB.64.155306
Vidal, J., Mosseri, R., Douçot, B., 1998. Phys. Rev. Lett., 81, 5888, doi:10.1103/PhysRevLett.81.5888
Yang, Z. H., Wang, Y. P., Xue, Z. Y., Yang, W. L., Hu, Y., Gao, J. H., Wu, Y., 2016. Phys. Rev. A, 93, 062319, doi:10.1103/PhysRevA.93.062319
Zhang, S. M., Jin, L., 2020. Phys. Rev. B 102, 054301, doi:10.1103/PhysRevB.102.054301
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