Optical topological pumping with two incommensurate driving frequencies is realized as a limit of periodic Fibonacci approximants, with beam displacement following Fibonacci numbers and the average pumping velocity set by the golden ratio.
& Bloch, I., A Thouless quantum pump with ultracold bosonic atoms in an optical superlattice.Nat
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Topological pumping of light governed by Fibonacci numbers
Optical topological pumping with two incommensurate driving frequencies is realized as a limit of periodic Fibonacci approximants, with beam displacement following Fibonacci numbers and the average pumping velocity set by the golden ratio.