Chin. Phys. Lett.  2021, Vol. 38 Issue (8): 084203    DOI: 10.1088/0256-307X/38/8/084203
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
PT Symmetry Induced Rings of Lasing Threshold Modes Embedded with Discrete Bound States in the Continuum
Qianju Song1†, Shiwei Dai1†, Dezhuan Han1*, Z. Q. Zhang2, C. T. Chan2*, and Jian Zi3*
1College of Physics, Chongqing University, Chongqing 401331, China
2Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China
3Department of Physics, Key Laboratory of Micro- and Nano-Photonic Structures (MOE), and State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433, China
Cite this article:   
Qianju Song, Shiwei Dai, Dezhuan Han et al  2021 Chin. Phys. Lett. 38 084203
Download: PDF(2264KB)   PDF(mobile)(2943KB)   HTML
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract It is well known that spatial symmetry in a photonic crystal (PhC) slab is capable of creating bound states in the continuum (BICs), which can be characterized by topological charges of polarization vortices. Here, we show that when a PT-symmetric perturbation is introduced into the PhC slab, a new type of BICs ($pt$-BICs) will arise from each ordinary BIC together with the creation of rings of lasing threshold modes with $pt$-BICs embedded in these rings. Different from ordinary BICs, the $Q$-factor divergence rate of a $pt$-BIC is reduced and anisotropic in momentum space. Also, $pt$-BICs can even appear at off-high symmetry lines of the Brillouin zone. The $pt$-BICs also carry topological charges and can be created or annihilated with the total charge conserved. A unified picture on $pt$-BICs and the associated lasing threshold modes is given based on the temporal coupled mode theory. Our findings reveal the new physics arising from the interplay between PT symmetry and BIC in PhC slabs.
Received: 09 June 2021      Express Letter Published: 03 August 2021
PACS:  42.70.Qs (Photonic bandgap materials)  
  42.55.Tv (Photonic crystal lasers and coherent effects)  
  42.68.Mj (Scattering, polarization)  
  03.65.Nk (Scattering theory)  
Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 12074049, 11727811, and 12047564), the Hong Kong Research Grants Council (Grant Nos. AoE/P-02/12, 16303119, and N_HKUST608/17), and the Fundamental Research Funds for the Central Universities (Grant Nos. 2020CDJQY-Z006 and 2020CDJQY-Z003).
TRENDMD:   
URL:  
http://cpl.iphy.ac.cn/10.1088/0256-307X/38/8/084203       OR      http://cpl.iphy.ac.cn/Y2021/V38/I8/084203
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
Qianju Song
Shiwei Dai
Dezhuan Han
Z. Q. Zhang
C. T. Chan
and Jian Zi
[1] von Neumann J and Wigner E 1929 Phys. Z. 30 465
[2] Stillinger F H and Herrick D R 1975 Phys. Rev. A 11 446
[3] Friedrich H and Wintgen D 1985 Phys. Rev. A 32 3231
[4] Hsu C W, Zhen B, Stone A D, Joannopoulos J D, and Soljačić M 2016 Nat. Rev. Mater. 1 16048
[5] Koshelev K, Favraud G, Bogdanov A, Kivshar Y, and Fratalocchi A 2019 Nanophotonics 8 725
[6] Bulgakov E N and Sadreev A F 2011 Phys. Rev. B 83 235321
[7] Zhen B, Hsu C W, Lu L, Stone A D, and Soljačić M 2014 Phys. Rev. Lett. 113 257401
[8] Yoda T and Notomi M 2020 Phys. Rev. Lett. 125 053902
[9] Bulgakov E N and Maksimov D N 2017 Phys. Rev. Lett. 118 267401
[10] Song Q, Zhao M, Liu L, Chai J, He G, Xiang H, Han D Z, and Zi J 2019 Phys. Rev. A 100 023810
[11] Doeleman H M, Monticone F, den Hollander W, Alù A, and Koenderink A F 2018 Nat. Photon. 12 397
[12] Zhang Y W, Chen A, Liu W Z, Hsu C W, Wang B, Guan F, Liu X H, Shi L, Lu L, and Zi J 2018 Phys. Rev. Lett. 120 186103
[13] Jin J, Yin X, Ni L, Zhen M S B, and Peng C 2019 Nature 574 501
[14] Wang B, Liu W, Zhao M, Wang J, Zhang Y, Chen A, Guan F, Liu X, Shi L, and Zi J 2020 Nat. Photon. 14 623
[15] Huang C, Zhang C, Xiao S, Wang Y, Fan Y, Liu Y, Zhang N, Qu G, Ji H, Han J, Ge L, Kivshar Y, and Song Q 2020 Science 367 1018
[16] Yuan L and Lu Y Y 2018 Phys. Rev. A 97 043828
[17] Dai S W, Liu L, Han D Z, and Zi J 2018 Phys. Rev. B 98 081405(R)
[18] Gao X, Hsu C W, Zhen B, Lin X, Joannopoulos J D, Soljačić M, and Chen H 2016 Sci. Rep. 6 31908
[19] Bulgakov E N and Sadreev A F 2014 Phys. Rev. A 90 053801
[20] Hsu C W, Zhen B, Lee J, Chua S L, Johnson S G, Joannopoulos J D, and Soljačić M 2013 Nature 499 188
[21] Liu Z, Xu Y, Lin Y, Xiang J, Feng T, Cao Q, Li J, Lan S, and Liu J 2019 Phys. Rev. Lett. 123 253901
[22] Tang H, DeVault C, Camayd-Muñoz S A, Liu Y, Jia D, Du F, Mello O, Vulis D I, Li Y, and Mazur E 2021 Nano Lett. 21 914
[23] Zhang M and Zhang X D 2015 Sci. Rep. 5 8266
[24] Özdemir Ş K, Rotter S, Nori F, and Yang L 2019 Nat. Mater. 18 783
[25] El-Ganainy R, Makris K G, Khajavikhan M, Musslimani Z H, Rotter S, and Christodoulides D N 2018 Nat. Phys. 14 11
[26] Feng L, El-Ganainy R, and Ge L 2017 Nat. Photon. 11 752
[27] Miri M A and Alù A 2019 Science 363 eaar7709
[28] Bender C M and Boettcher S 1998 Phys. Rev. Lett. 80 5243
[29] Feng L, Xu Y L, Fegadolli W S, Lu M H, Oliveira J, Almeida V, Chen Y F, and Scherer A 2013 Nat. Mater. 12 108
[30] Song W, Sun W, Chen C, Song Q, Xiao S, Zhu S N, and Li T 2019 Phys. Rev. Lett. 123 165701
[31] Yao S and Wang Z 2018 Phys. Rev. Lett. 121 086803
[32] Tang W, Jiang X, Ding K, Xiao Y X, Zhang Z Q, Chan C T, and Ma G 2020 Science 370 1077
[33] Zhen B, Hsu C W, Igarashi Y, Lu L, Kaminer I, Pick A, and Soljačić M 2015 Nature 525 354
[34] Zhu W, Fang X, Li D, Sun Y, Li Y, Jing Y, and Chen H 2018 Phys. Rev. Lett. 121 124501
[35] Luo J, Li J, and Lai Y 2018 Phys. Rev. X 8 031035
[36] Fan S, Suh W, and Joannopoulos J D 2003 J. Opt. Soc. Am. A 20 569
[37] Fan S and Joannopoulos J D 2002 Phys. Rev. B 65 235112
[38] Longhi S 2010 Phys. Rev. Lett. 105 013903
[39] Mostafazadeh A 2009 Phys. Rev. Lett. 102 220402
[40] Longhi S 2010 Phys. Rev. A 81 022102
[41] Mostafazadeh A 2011 Phys. Rev. A 83 045801
[42] Song Q, Hu J, Dai S, Zheng C, Han D, Zi J, Zhang Z Q, and Chan C T 2020 Sci. Adv. 6 eabc1160
[43] Zhou H, Zhen B, Hsu C W, Miller O D, Johnson S G, Joannopoulos J D, and Soljačič M 2016 Optica 3 1079
[44] Liu W, Wang B, Zhang Y, Wang J, Zhao M, Guan F, Liu X, Shi L, and Zi J 2019 Phys. Rev. Lett. 123 116104
[45] Yin X, Jin J, Peng M S C, and Zhen B 2020 Nature 580 467
[46] Chen W, Chen Y, and Liu W 2020 Laser & Photon. Rev. 14 2000049
[47] Kang M, Zhang S, Xiao M, and Xu H 2021 Phys. Rev. Lett. 126 117402
Viewed
Full text


Abstract