dorsal/arxiv
View SchemaQuasiperiodic dynamics of coherent diffusion: a quantum walk approach
| Authors | A. Wojcik, T. Luczak, P. Kurzynski, A. Grudka, M. Bednarska |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407128 |
| URL | https://arxiv.org/abs/quant-ph/0407128 |
Abstract
We study the dynamics of a generalization of quantum coin walk on the line which is a natural model for a diffusion modified by quantum or interference effects. In particular, our results provide surprisingly simple explanations to phenomena observed by Bouwmeester et al. (Phys. Rev. A, 61, 13410 (1999)) in their optical Galton board experiment, and a description of a stroboscopic quantum walks given by Buershaper and Burnett (quant-ph/0406039) through numerical simulations. We also provide heuristic explanations for the behavior of our model which show, in particular, that its dynamics can be viewed as a discrete version of Bloch oscillations.
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"abstract": "We study the dynamics of a generalization of quantum coin walk on the line\nwhich is a natural model for a diffusion modified by quantum or interference\neffects. In particular, our results provide surprisingly simple explanations to\nphenomena observed by Bouwmeester et al. (Phys. Rev. A, 61, 13410 (1999)) in\ntheir optical Galton board experiment, and a description of a stroboscopic\nquantum walks given by Buershaper and Burnett (quant-ph/0406039) through\nnumerical simulations. We also provide heuristic explanations for the behavior\nof our model which show, in particular, that its dynamics can be viewed as a\ndiscrete version of Bloch oscillations.",
"arxiv_id": "quant-ph/0407128",
"authors": [
"A. Wojcik",
"T. Luczak",
"P. Kurzynski",
"A. Grudka",
"M. Bednarska"
],
"categories": [
"quant-ph"
],
"title": "Quasiperiodic dynamics of coherent diffusion: a quantum walk approach",
"url": "https://arxiv.org/abs/quant-ph/0407128"
},
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