Author Affiliations
1Department of Applied Physics, East China Jiaotong University, Nanchang 330013, China2Faculty of Information Technology, College of Microelectronics, Beijing University of Technology, Beijing 100124, China3Center for Emergent Matter Science (CEMS), RIKEN, Wako, Saitama 351-0198, Japan4Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China5Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China6e-mail: jinghui73@foxmail.com7e-mail: aixichen@zstu.edu.cnshow less
Fig. 1. (a), (b) Schematic diagram for generating QOM coupling, where a mechanical nanostring oscillator is placed between two whispering gallery mode (WGM) resonators. (c), (d) Dispersion of the optical modes as a function of the displacement.
Fig. 2. (a) The transmission coefficients T21 (solid black curve) and T12 (dashed red curve) as a function of the detuning Δ/G. (b) The isolation as a function of the detuning Δ/G. (c) The equal-time second-order correlation function log10[gij(2)(0)] (ij=12,21) as a function of the detuning Δ/G. (d) The second-order correlation function log10[g21(2)(τ)] as a function of the normalized time delay γcτ/(2π) at detuning Δ=2G. The other parameters are Δm=Δ/2, G=3γc, ε=γc/10, γm=γc/100, and nth=0.
Fig. 3. Schematic energy spectrum of the linearized QOM coupling between optical mode aL and mechanical resonator b, where |00⟩≡|0,0⟩, |10⟩≡|0,1⟩, |2±1⟩≡(|1,0⟩±|0,2⟩)/2, |3±1⟩≡(|1,1⟩±|0,3⟩)/2, |40⟩≡(−3|2,0⟩+|0,4⟩)/2, |4±1⟩≡(|2,0⟩±2|1,2⟩+3|0,4⟩)/(22), and |n,m⟩ represents the Fock state with n photons in aL and m phonons in b.
Fig. 4. (a) Transmission coefficient T21. (b) The equal-time second-order correlation function log10[g21(2)(0)] versus the detuning Δ/G with different mean thermal phonon number (nth=0,0.1,1). (c) The isolation T21/T12. (d) The equal-time second-order correlation function log10[g21(2)(0)] versus the mean thermal phonon number nth with different detuning (Δ=0,2G,6G). The other parameters are the same as in Fig. 2.