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• W3099812051 abstract "We extend to the gamut of functional forms of the probability distribution of the time-dependent step-length a previous model dubbed Elephant Quantum Walk, which considers a uniform distribution and yields hyperballistic dynamics where the variance grows cubicly with time, $sigma ^2 propto t^3$, and a Gaussian for the position of the walker. We investigate this proposal both locally and globally with the results showing that the time-dependent interplay between interference, memory and long-range hopping leads to multiple transitions between dynamical regimes, namely ballistic $rightarrow$ diffusive $rightarrow$ superdiffusive $rightarrow$ ballistic $rightarrow$ hyperballistic for non-hermitian coin whereas the first diffusive regime is quelled for implementations using the Hadamard coin. In addition, we observe a robust asymptotic approach to maximal coin-space entanglement." @default.
• W3099812051 created "2020-11-23" @default.
• W3099812051 creator A5019339892 @default.
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• W3099812051 date "2019-12-17" @default.
• W3099812051 modified "2023-09-25" @default.
• W3099812051 title "Multiple transitions between normal and hyperballistic diffusion in quantum walks with time-dependent jumps" @default.
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• W3099812051 doi "https://doi.org/10.1038/s41598-019-55642-5" @default.
• W3099812051 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/6917814" @default.
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• W3099812051 hasPublicationYear "2019" @default.
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