Extended Data Fig. 6: Evaluation of the displacement amplitude.
From: Non-Hermitian dynamics and non-reciprocity of optically coupled nanoparticles
a. Short time trace of the particle motion (blue), velocity (light blue), and the reconstructed oscillation envelope (black). b. Phase space distributions of the motion of particle 1 sampled over the whole time trace for four different configurations, labeled as (i)-(iv). The limit cycle is observed in (ii) and (iii), while no limit cycle is observed in (iv). c. The probability distribution functions (pdf) of the oscillation envelopes for configurations (i)-(iii). Solid black lines represent the fits of the Rice distribution, where (ii) and (iii) clearly show the increase of the displaced amplitude \({\bar{A}}_{1}\) from the case of \({\bar{A}}_{1}=0\) in (i). The presented experimental data corresponds to the following detuning and coupling rate (ΔΩ/2π, ga/2π) and extracted displacement amplitudes \({\bar{A}}_{1}\): (i) (4.78, 0.00) kHz and 0, (ii) (0.40, 0.28) kHz and 1.7, (iii) (0.35, 0.49) kHz and 2.7. d. Histogram of \({\tilde{z}}_{1}/\lambda\) in the vicinity of the NIR region for (ΔΩ/2π, ga/2π) = ( − 0.22, 0.49) kHz, corresponding to the distribution (iv), exhibits two peaks. The solid black line is the bi-modal Rice distribution fit, while the dashed and dash-dotted lines show the contributions of two Rice distributions with fitted \({\bar{A}}_{1}=0\) and \({\bar{A}}_{1}=3.1\), respectively.
