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quant-ph2019

Quantum walks with sequential aperiodic jumps

Marcelo A. Pires, Sílvio M. Duarte Queirós

We analyze a set of discrete-time quantum walks for which the displacements on a chain follow binary aperiodic jumps according to three paradigmatic sequences: Fibonacci, Thue-Mors…

quant-ph2019

Multiple transitions between normal and hyperballistic diffusion in quantum walks with time-dependent jumps

Marcelo A. Pires, Giuseppe Di Molfetta, Sílvio M. Duarte Queirós

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 unifor…