Physics (Internal)

Topological Effects of Quasiperiodic Driving

This event is part of the Graduate Student Council Events.

Part of the student seminar series. A recording of the talk will be posted on the event page.

Abstract: Topology can underlie the quantization of observables in both static and driven systems, including quasiperiodically driven systems -- those driven by multiple incommensurate periodic tones. We derive a topological classification of a class of quasiperiodically driven systems which we call anomalous localized topological phases (ALTPs). The classification depends only on the sum of the spatial dimension and the number of incommensurate tones, a result we can understand intuitively through a formalism known as the frequency lattice. Furthermore, our classification allows us to identify a phase of one-dimensional two-tone-driven ALTPs which can act as a quantized nonadiabatic energy pump between the two drives. We present explicit models in this phase, with which we verify our predictions numerically.