dorsal/arxiv
View SchemaStroboscopic quantum walks
| Authors | O. Buerschaper, K. Burnett |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406039 |
| URL | https://arxiv.org/abs/quant-ph/0406039 |
Abstract
Discrete time (coined) quantum walks are produced by the repeated application of a constant unitary transformation to a quantum system. By recasting these walks into the setting of periodic perturbations to an otherwise freely evolving system we introduce the concept of a stroboscopic quantum walk. Through numerical simulation, we establish the link between families of stroboscopic walks and quantum resonances. These are observed in the nonlinear systems of quantum chaos theory such as the delta-kicked rotator or the delta-kicked accelerator.
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"abstract": "Discrete time (coined) quantum walks are produced by the repeated application\nof a constant unitary transformation to a quantum system. By recasting these\nwalks into the setting of periodic perturbations to an otherwise freely\nevolving system we introduce the concept of a stroboscopic quantum walk.\nThrough numerical simulation, we establish the link between families of\nstroboscopic walks and quantum resonances. These are observed in the nonlinear\nsystems of quantum chaos theory such as the delta-kicked rotator or the\ndelta-kicked accelerator.",
"arxiv_id": "quant-ph/0406039",
"authors": [
"O. Buerschaper",
"K. Burnett"
],
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"title": "Stroboscopic quantum walks",
"url": "https://arxiv.org/abs/quant-ph/0406039"
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