dorsal/arxiv
View SchemaGeneralized Quantum Walk in Momentum Space
| Authors | A. Romanelli, A. Auyuanet, R. Siri, G. Abal, R. Donangelo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408183 |
| URL | https://arxiv.org/abs/quant-ph/0408183 |
| DOI | 10.1016/j.physa.2005.01.026 |
Abstract
We consider a new model of quantum walk on a one-dimensional momentum space that includes both discrete jumps and continuous drift. Its time evolution has two stages; a Markov diffusion followed by localized dynamics. As in the well known quantum kicked rotor, this model can be mapped into a localized one-dimensional Anderson model. For exceptional (rational) values of its scale parameter, the system exhibits resonant behavior and reduce to the usual discrete time quantum walk on the line.
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"abstract": "We consider a new model of quantum walk on a one-dimensional momentum space\nthat includes both discrete jumps and continuous drift. Its time evolution has\ntwo stages; a Markov diffusion followed by localized dynamics. As in the well\nknown quantum kicked rotor, this model can be mapped into a localized\none-dimensional Anderson model. For exceptional (rational) values of its scale\nparameter, the system exhibits resonant behavior and reduce to the usual\ndiscrete time quantum walk on the line.",
"arxiv_id": "quant-ph/0408183",
"authors": [
"A. Romanelli",
"A. Auyuanet",
"R. Siri",
"G. Abal",
"R. Donangelo"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physa.2005.01.026",
"title": "Generalized Quantum Walk in Momentum Space",
"url": "https://arxiv.org/abs/quant-ph/0408183"
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