Theory seminar
Hofstadter’s butterfly pattern: a topological study of 2D array of ring resonators in a modulated magnetic field
Speaker: Baiyu Qiang (Y3)
Date: Wednesday 24 April 2024
Time: 15:00
Venue: N/3.28
Topology of photonic bands serves as a valuable tool to explore topological effects in photonic systems. Tracking its routes back to Haldane’s model in 2008 to its practical implementation over the next decade, the study of photonic topology has enabled scientists to alter the photonic band structure by adjusting their spatial geometric arrangement. In this talk, we will first explore the topological effect in a 2D Su-Schrieffer-Heeger (SSH) model of coupled ring resonators by introducing a synthetic magnetic gauge field to the system. This is achieved by adding a “phase” to the coupling coefficient between the next nearest ring resonators. Second, we will look at how to uncover more non-trivial properties of the system by adjusting this “phase”. For this, two analytical methodologies will be employed to demonstrate the band structure of the system, including Coupled-Mode Theory (CMT) and Transfer Matrix Method (TMM). Finally, the topological effect will be showcased using Hofstadter’s Butterfly structures made of 2D array of ring resonators.
Title: Computationally modelling first passage processes with reset in 2D
Sepaker: Holly Winters