The Fibonacci quantum walk and its cassical trace map

Details The Fibonacci quantum walk and its cassical trace map The Fibonacci quantum walk and its cassical trace map

2008-02-15

arxiv.org/abs/0802.2289v1

Physics

Quantum Physics

5 pages, 3 figures

Scientific paper

We study the quantum walk in momentum space using a coin arranged in
quasi-periodic sequences following a Fibonacci prescription. We build for this
system a classical map based on the trace of the evolution operator. The
sub-ballistic behavior of this quantum walk is connected with the power-law
decay of the time correlations of the trace map.

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