Quantum ultra-walks: Walks on a line with hierarchical spatial heterogeneity
We discuss the model of a one-dimensional, discrete-time walk on a line with spatial heterogeneity in the form of a variable set of ultrametric barriers. Inspired by the homogeneous quantum walk on a line, we develop a formalism by which the classical ultrametric random walk as well as the quantum w...
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.023411 |