Quantized topological responses in quasi-periodically driven qubits
Oct. 7, 2020 (Wed.) at 3PM (ET)
I will discuss how a d dimensional quantum system responds to being driven by D incommensurate monochromatic waves. This generalizes the well-studied Floquet case where D=1. By introducing a mapping to synthetic dimensions, I will present a topological classification of the quasi-energy states and their associated quantized dynamical responses. I will then describe a recent experiment on a single nitrogen-vacancy center in diamond driven by D=2 tones which experimentally demonstrated the dynamical analog of the quantum Hall effect in the synthetic space.