Transporting the Optical Chirality through the Dynamical Barriers in Optical Microcavities

Abstract

In mixed phase space structures, the stable islands and chaotic sea are separated by dynamical barriers. Considering the small tunneling rate, intuitively, the properties of long‐lived resonances within stable islands are supposed to be less affected by the perturbations in chaotic sea. Here, the modifications on the chaotic sea which can be transported through dynamical barriers and strongly affect long‐lived resonances within stable islands are experimentally demonstrated. In waveguide‐connected quadruple microdisks (WCQMs), the finite orbital angular momentum and the propagation directions of long‐lived resonances within stable islands could be changed and controlled by the waveguides connecting to the chaotic sea. The numerical calculations and the corresponding 4 × 4 non‐Hermitian Hamiltonian theoretical model match the experimental results well and demonstrate the essential roles of asymmetrical scattering in the chaotic sea and chaotic‐to‐regular tunneling. This research will be interesting for fundamental studies on quantum chaos and practical applications in optical sensing.

Time-reversal invariant scaling of light propagation in one-dimensional non-Hermitian systems

“…Take the scattering of the cylindrical waves, for example. If the index modulation itself has an angular momentum M = 2 (e.g., a quadruple cavity with a uniform refractive index [31,32]), then a cylindrical wave of angular momentum m will be scattered strongly into the m ± 2 channels in general [33]. More specifically, the m = ±1 channels are scattered strongly into each other and the m = ±3 channels.…”

Microstar cavities: An alternative concept for the confinement of light

“…. 10 4 [19,50]. However, the modes in the microstar have the unique property that almost half of the mode's intensity |ψ| 2 is trapped outside of the cavity whereas WG modes only leak evanescently to the surrounding area of the cavity.…”

Chirality-enabled unidirectional light emission and nanoparticle detection in parity-time-symmetric microcavity

“…Figure 1(b) illustrates the interaction process between the waveguide and microcavity. Therefore, by defining the quantities L and WG as the complexvalued dimensionless frequencies of the left cavity modes and waveguide modes, the formation of chirality in the left-sided cavity can be qualitatively understood with the following 4 × 4 non-Hermitian Hamiltonian [17,32,33].…”

“…For this purpose, the rational way is to drive the microcavity to the status of chirality where the balanced weights of the CW or CCW component are broken. Thus far, several cate-gories of techniques to address the issue have been intensively studied and well developed [17][18][19][20]. For instance, Liu et al have demonstrated a unique and robust mechanism, which is assisted by chaotic-to-regular tunneling in dye-doped polymer microdisks with low refractive index, to realize the strong chirality in a deformed optical microcavity [17].…”

“…Thus far, several cate-gories of techniques to address the issue have been intensively studied and well developed [17][18][19][20]. For instance, Liu et al have demonstrated a unique and robust mechanism, which is assisted by chaotic-to-regular tunneling in dye-doped polymer microdisks with low refractive index, to realize the strong chirality in a deformed optical microcavity [17]. They found that the stable islands of the ray dynamics in the quadrupolar cavity are divided by the critical line 1/n (n is the refractive index) in phase space.…”