|
|
Chiral bound states in a staggered array of coupled resonators |
Wu-Lin Jin(金伍林)1, Jing Li(李静)1, Jing Lu(卢竞)1, Zhi-Rui Gong(龚志瑞)2, and Lan Zhou(周兰)1,† |
1 Synergetic Innovation Center for Quantum Effects and Applications, Key Laboratory for Matter Microstructure and Function of Hunan Province, Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of the Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, Institute of Interdisciplinary Studies, Xiangjiang-Laboratory and Department of Physics, Hunan Normal University, Changsha 410081, China; 2 College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China |
|
|
Abstract We study the chiral bound states in a coupled-resonator array with staggered hopping strengths, which interacts with a two-level small atom through a single coupling point or two adjacent ones. In addition to the two typical bound states found above and below the energy bands, this system presents an extraordinary chiral bound state located within the energy gap. We use the chirality to quantify the breaking of the mirror symmetry. We find that the chirality value undergoes continuous changes by tuning the coupling strengths. The preferred direction of the chirality is controlled not only by the competition between the intracell and the intercell hoppings in the coupled-resonator array, but also by the coherence between the two coupling points. In the case with one coupling point, the chirality values varies monotonously with difference between the intracell hopping and the intercell hoppings. While in the case with two coupling points, due to the coherence between the two coupling points the perfect chiral states can be obtained.
|
Received: 18 August 2023
Revised: 02 November 2023
Accepted manuscript online: 13 November 2023
|
PACS:
|
03.65.Pm
|
(Relativistic wave equations)
|
|
03.65.-w
|
(Quantum mechanics)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11975095, 12075082, 11935006, and 12247105), the Major Sci-Tech Program of Hunan Province, China (Grant No. 2023ZJ1010), and the Natural Science Foundation of Guangdong Province, China (Grant Nos. 2019A1515011400 and 2023A151501223). |
Corresponding Authors:
Lan Zhou
E-mail: zhoulan@hunnu.edu.cn
|
Cite this article:
Wu-Lin Jin(金伍林), Jing Li(李静), Jing Lu(卢竞), Zhi-Rui Gong(龚志瑞), and Lan Zhou(周兰) Chiral bound states in a staggered array of coupled resonators 2024 Chin. Phys. B 33 020302
|
[1] Shen J T and Fan S 2007 Phys. Rev. Lett. 98 153003 [2] Zheng H X, Gauthier D J and Baranger H U 2010 Phys. Rev. A 82 063816 [3] Shi T, Fan S H and Sun C P 2011 Phys. Rev. A 84 063803 [4] Zhou L, Gong Z R, Liu Y X, Sun C P and Nori F 2008 Phys. Rev. Lett. 101 100501 [5] Zhou L, Yang S, Liu Y X, Sun C P and Nori F 2009 Phys. Rev. A 80 062109 [6] Zhou L, Dong H, Liu Y X, Sun C P and Nori F 2008 Phys. Rev. A 78 063827 [7] Gong Z R, Ian H, Zhou L and Sun C P 2008 Phys. Rev. A 78 053806 [8] Zhou L, Yang L P, Li Y and Sun C P 2013 Phys. Rev. Lett. 111 103604 [9] Lu J, Zhou L, Kuang L M and Nori F 2014 Phys. Rev. A 89 013805 [10] Ahumada M, Orellana P A, Domínguez-Adame F and Malyshev A V 2019 Phys. Rev. A 99 033827 [11] Xu H S and Jin L 2022 Phys. Rev. Res. 4 L032015 [12] Wang Z H, Zhou L, Li Y and Sun C P 2014 Phys. Rev. A 89 053813 [13] Yan W B and Fan H 2014 Phys. Rev. A 90 053807 [14] Longo P, Schmitteckert P and Busch K 2010 Phys. Rev. Lett. 104 023602 [15] Ahumada M, Orellana P A and Retamal J C 2018 Phys. Rev. A 98 023827 [16] Lombardo F, Ciccarello F and Palma G M 2014 Phys. Rev. A 89 053826 [17] Sánchez-Burillo E, Zueco D, Martín-Moreno L and García-Ripoll J J 2017 Phys. Rev. A 96 023831 [18] Zhou L, Chang Y, Dong H, Kuang L M and Sun C P 2012 Phys. Rev. A 85 013806 [19] Zhao W and Wang Z H 2020 Phys. Rev. A 101 053855 [20] Cheng W J, Wang Z H and Liu Y X 2022 Phys. Rev. A 106 033522 [21] Kim E J, Zhang X Y, Ferreira V S, Jash B, Iverson J K, Sipahigil A, Bello M, González-Tudela A, Mirhosseini M and Painter O 2021 Phys. Rev. X 11 011015 [22] Liu Y B and Houck A A 2016 Nat. Phys. 13 48 [23] Vega C, Bello M, Porras D and González-Tudela A 2021 Phys. Rev. A 104 053522 [24] Asb0th J K, Oroszlány L and Pályi A 2016 Lecture Notes in Physics 919 pp. 1-9 [25] Ciccarello F 2011 Phys. Rev. A 83 043802 [26] Almeida G M A, Ciccarello F, Apollaro T J G and Souza A M C 2016 Phys. Rev. A 93 032310 [27] Scigliuzzo M, Calajó G, Ciccarello F, Lozano D P, Bengtsson A, Scarlino P, Wallraff A, Chang D, Delsing P and Gasparinetti S 2022 Phys. Rev. X 12 031036 [28] Gao B, Li J, Jiang H W, Wang J S, Zhu C J, Xu J Q and Yang Y P 2021 Opt. Express 29 31010 [29] Fong P T and Law C K 2017 Phys. Rev. A 96 023842 [30] Xu X W, Chen A X, Li Y and Liu Y X 2017 Phys. Rev. A 95 063808 [31] Wang Z H, Du L, Li Y and Liu Y X 2019 Phys. Rev. A 100 053809 [32] Qiao L and Sun C P 2019 Phys. Rev. A 100 063806 [33] Bello M, Platpro G, Cirac J I and Gonzalez-tudela A 2019 Sci. Adv. 5 eaaw0297 [34] Wang X, Liu T, Kockum A F, Li H R and Nori F 2021 Phys. Rev. Lett. 126 043602 |
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|