Effect of spatially nonlocal versus local optical response of a gold nanorod on modification of the spontaneous emission

doi:10.1088/1674-1056/abc238

Abstract The spontaneous emission rate of a two-level quantum emitter (QE) near a gold nanorod is numerically investigated. Three different optical response models for the free-electron gas are adopted, including the classical Drude local response approximation, the nonlocal hydrodynamic model, and the generalized nonlocal optical response model. Nonlocal optical response leads to a blueshift and a reduction in the enhancement of the spontaneous emission rate. Within all the three models, the resonance frequency is largely determined by the aspect ratio (the ratio of the nanorod length to the radius) and increases sharply with decreasing aspect ratio. For nanorod with a fixed length, it is found that the larger the radius is, the higher the resonance frequency is, and the smaller the enhancement is. However, if the length of the nanorod increases, the peak frequency falls sharply, while the spontaneous emission enhancement grows rapidly. For nanorod with a fixed aspect ratio, the peak frequency decreases slowly with increasing nanorod size. Larger nanorod shows smaller nonlocal effect. At a certain frequency, there is an optimal size to maximize the enhancement of the spontaneous emission rate. Higher order modes are more affected by the nonlocal smearing of the induced charges, leading to larger blueshift and greater reduction in the enhancement. These results should be significant for investigating the spontaneous emission rate of a QE around a gold nanorod.

Keywords: spatially nonlocal response hydrodynamics spontaneous emission rate gold nanorod

Received: 28 June 2020
Revised: 15 September 2020
Accepted manuscript online: 17 October 2020

PACS:	78.20.Bh	(Theory, models, and numerical simulation)
	42.50.-p	(Quantum optics)
	32.70.Jz	(Line shapes, widths, and shifts)
	73.20.Mf	(Collective excitations (including excitons, polarons, plasmons and other charge-density excitations))

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11964010, 11564013 and 11464014), the Natural Science Foundation of Hunan Province (Grant No. 2020JJ4495), the Scientific Research Fund of Hunan Provincial Education Department, China (Grant No. 18C0558), and the Hunan Provincial Innovation Foundation for Postgraduate, China (Grant Nos. CX2018B706 and CX20190876).

Corresponding Authors: ^†Corresponding author. E-mail: wxyyun@163.com ^‡Corresponding author. E-mail: huang122012@163.com

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Sha-Sha Wen(文莎莎), Meng Tian(田锰), Hong Yang(杨红), Su-Jun Xie(谢素君), Xiao-Yun Wang(王小云), Yun Li(李芸), Jie Liu(刘杰), Jin-Zhang Peng(彭金璋), Ke Deng(邓科), He-Ping Zhao(赵鹤平), and Yong-Gang Huang(黄勇刚) Effect of spatially nonlocal versus local optical response of a gold nanorod on modification of the spontaneous emission 2021 Chin. Phys. B 30 027801

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Effect of spatially nonlocal versus local optical response of a gold nanorod on modification of the spontaneous emission

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