2020
DOI: 10.48550/arxiv.2012.00448
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Floquet engineering of continuous-time quantum walks: towards the simulation of complex and next-to-nearest neighbor couplings

Leonardo Novo,
Sofia Ribeiro
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Cited by 1 publication
(3 citation statements)
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“…In this work, we generalize the study to address the problem of the long time dynamics of a single particle walk on a one-dimensional spatial lattice with complex hopping amplitudes. It is of considerable interest to extend the study to the case of complex hopping amplitudes, since it is known that complex hopping strengths break time-reversal symmetry and can lead to novel effects like chiral propagation [27][28][29]. Recent work [29] suggested protocols through Floquet engineering realizing a quantum walk with complex hopping amplitudes.…”
Section: Introductionmentioning
confidence: 99%
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“…In this work, we generalize the study to address the problem of the long time dynamics of a single particle walk on a one-dimensional spatial lattice with complex hopping amplitudes. It is of considerable interest to extend the study to the case of complex hopping amplitudes, since it is known that complex hopping strengths break time-reversal symmetry and can lead to novel effects like chiral propagation [27][28][29]. Recent work [29] suggested protocols through Floquet engineering realizing a quantum walk with complex hopping amplitudes.…”
Section: Introductionmentioning
confidence: 99%
“…It is of considerable interest to extend the study to the case of complex hopping amplitudes, since it is known that complex hopping strengths break time-reversal symmetry and can lead to novel effects like chiral propagation [27][28][29]. Recent work [29] suggested protocols through Floquet engineering realizing a quantum walk with complex hopping amplitudes. The study of chiral walks is also of interest because they allow for controlled information transfer in quantum systems and directional biasing without a biased initial state [27][28][29].…”
Section: Introductionmentioning
confidence: 99%
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