A periodic drive could lend a quantum system new properties, and even give rise to new dynamical quantum phases with no static analog. Could we use periodic drives also to design quantum machines, that will controllably manipulate light and matter? In my talk I will show how applying multiple periodic drives to a quantum system could increase its dimensionality, and may even realize a multidimensional topological phases for zero-dimensional systems. Particularly, a spin-1/2 particle, driven by two elliptically-polarized light beams could realize the Bernevig-Hughes-Zhang model of 2d topological insulators, and form a topological frequency converter. I will also discuss new methods for controlling drive-induced synthetic dimensions, and additional opportunities that multiple drives could present.
Gil Refael is Professor of Theoretical Physics and Condensed Matter Theory at the California Institute of Technology.
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