Variable optical chirality in atomic assisted microcavity

(a) Schematic diagram of WGM microcavity coupled with (b) cavity-made slot and (c) filled with three-level atomic vapor.

Simulation parameters.

The slot reflection to the CCW and CW waves varying with the slot surface reflection $R_{\mathrm{m}\mathrm{i}\mathrm{r}\mathrm{r}}^1$ at panel (a) r = 2γ and Ω_μ = γ, panel (b) r = 2γ and Ω_μ = 2γ, panel (c) r = 0.1 γ and Ω_μ = 1γ, and panel (d) r = 0.1γ and Ω_μ = 2γ. The length of the cavity-made slot is set to be L_slot = 6cπ / ω₁₂ which is 3 wavelengths at ω₁₂.

The slot reflection to the CCW and CW waves varying with the pump rate r at panel (a) Ω_μ = γ and $R_{\mathrm{m}\mathrm{i}\mathrm{r}\mathrm{r}}^1=0.79$, panel (b) Ω_μ = 2γ ad $R_{\mathrm{m}\mathrm{i}\mathrm{r}\mathrm{r}}^1=0.94$, panel (c) Ω_μ = 1γ and $R_{\mathrm{m}\mathrm{i}\mathrm{r}\mathrm{r}}^1=0.95$, and panel (d) Ω_μ = 2γ and $R_{\mathrm{m}\mathrm{i}\mathrm{r}\mathrm{r}}^1=0.99$.

The IR values adjusted by controlling pump rate r at four optimum values of $R_{\mathrm{m}\mathrm{i}\mathrm{r}\mathrm{r}}^1$ obtained in Fig. 2 when the driving field Rabi frequency is Ω_μ = γ.

(a) Transmission and reflection spectra versus Δ ω for four values of pump rate r (0.1γ, 0.2γ, 0.3γ, and 0.4γ) and driving field frequency Ω_μ = 7γ. (b) Transmission and reflection spectra versus Δ ω for four values of driving field frequency Ω_μ (7γ, 8γ, 9γ, and 10γ) and r = 0.1γ. [(a) and (b)] Insets show magnified details of no shifted peaks of transmission and reflection spectra.

(a) Slot IR representing asymmetric backscattering of cavity-made slot, (b) chirality continuously tuned via steering pump rate r, (c) frequency splitting quality Q_sp versus pump rate, with shaded regions representing normal dispersion, and blank regions referring to anomalous dispersion. Some parameters used here are as follows: κ₀ = κ_ex = 1 × 10¹¹ Hz, $R_{\mathrm{m}\mathrm{i}\mathrm{r}\mathrm{r}}^1=0.99$, $R_{\mathrm{m}\mathrm{i}\mathrm{r}\mathrm{r}}^2=0.999$, radius of WGM microcavity R₀ = 30λ/(2πn₀), and refractive index n₀ = 1.5.

Curves of frequency split versus L_slot ω_p in transmission with (a) driving field frequency Ω_μ = 7γ for r = 0.1γ, 0.2γ, 0.3γ, and 0.4γ, and (b) pump rate r = 0.4γ for Ω_μ = 7γ, 8γ, 9γ, and 10γ.