Xu-Sheng Xu, Hao Zhang, Xiang-Yu Kong, Min Wang, Gui-Lu Long, "Frequency-tuning-induced state transfer in optical microcavities," Photonics Res. 8, 490 (2020)

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- Photonics Research
- Vol. 8, Issue 4, 490 (2020)

Fig. 1. Schematic diagram for the model of multimode interactions in optical microcavities. All the modes have very narrow linewidths. A mode in one cavity couples to two different optical modes (a) in the same cavity and (b) in two different cavities separately. (c) Resonance frequency tuning of the intermediate cavity to induce state transfer. The tuning domain is divided into three parts labelled I, II, and III.

Fig. 2. Result of FIST between a 1 and a 2 by linearly tuning the resonance frequency of a t . The speed is chosen as 0.08 δ 2 . The inset is the plot of tuning function, and the unit of time t is δ − 1 .

Fig. 3. Simulation of final population of mode a 2 affected by tuning variables. The units d and v are chosen as δ and δ 2 , respectively. (a) Population P versus tuning range d with v = 0.27 δ 2 . All Δ 0 are chosen as Δ 0 = ( δ − d ) / 2 . (b) Population P versus tuning speed v with d = 2.65 δ and Δ 0 = − 0.825 δ . (c) Population P versus tuning range d and tuning speed v . The dashed line shows all the points of evolution time with 10 δ − 1 .

Fig. 4. Population change with respect to evolution time via sine tuning function. Lines labeled with a 1 , a 2 , and a t are the populations of the corresponding modes.

Fig. 5. Simulation of fast FIST from a 1 to a 2 by using the gradient descent technique. The parameters are the cross points of Fig. 3(c) with d = 2.65 δ , v = 0.27 δ 2 . (a) Result of the optimized population transfer process. (b) Corresponding optimal tuning function of the intermediate mode. The unit of time here is δ − 1 .
![Nonreciprocal state transfer between modes a1 and a2. (a) Populations of modes a1 and a2 versus tuning speed. The tuning range is d=14δ. (b) Populations of modes a1 and a2 versus tuning range. The tuning speed is v=0.1δ2. (c) Order difference between the populations of a2 and a1, log10[P(a2)]−log10[P(a1)], in the parameter spaces of tuning speed and tuning range.](/Images/icon/loading.gif)
Fig. 6. Nonreciprocal state transfer between modes a 1 and a 2 . (a) Populations of modes a 1 and a 2 versus tuning speed. The tuning range is d = 14 δ . (b) Populations of modes a 1 and a 2 versus tuning range. The tuning speed is v = 0.1 δ 2 . (c) Order difference between the populations of a 2 and a 1 , log 10 [ P ( a 2 ) ] − log 10 [ P ( a 1 ) ] , in the parameter spaces of tuning speed and tuning range.

Fig. 7. All-optical on-chip microcavity structures. (a) One-dimensional microcavity array. (b) Two-dimensional optical microcavity lattice.

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