Phys. Rev. A 80, 042332 (2009) [5 pages]Driving quantum-walk spreading with the coin operatorReceived 31 July 2009; published 29 October 2009 We generalize the discrete quantum walk on the line using a time-dependent unitary coin operator. We find an analytical relation between the long-time behaviors of the standard deviation and the coin operator. Selecting the coin time sequence allows to obtain a variety of predetermined asymptotic wave-function spreadings: ballistic, sub-ballistic, diffusive, subdiffusive, and localized. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.042332
DOI:
10.1103/PhysRevA.80.042332
PACS:
03.67.−a, 05.45.Mt
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