dorsal/arxiv
View SchemaQuantum Walk with a time-dependent coin
| Authors | M. C. Banuls, C. Navarrete, A. Perez, Eugenio Roldan, J. C. Soriano |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510046 |
| URL | https://arxiv.org/abs/quant-ph/0510046 |
| DOI | 10.1103/PhysRevA.73.062304 |
Abstract
We introduce quantum walks with a time-dependent coin, and show how they include, as a particular case, the generalized quantum walk recently studied by Wojcik et al. {[}Phys. Rev. Lett. \textbf{93}, 180601(2004){]} which exhibits interesting dynamical localization and quasiperiodic dynamics. Our proposal allows for a much easier implementation of this particular rich dynamics than the original one. Moreover, it allows for an additional control on the walk, which can be used to compensate for phases appearing due to external interactions. To illustrate its feasibility, we discuss an example using an optical cavity. We also derive an approximated solution in the continuous limit (long--wavelength approximation) which provides physical insight about the process.
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"abstract": "We introduce quantum walks with a time-dependent coin, and show how they\ninclude, as a particular case, the generalized quantum walk recently studied by\nWojcik et al. {[}Phys. Rev. Lett. \\textbf{93}, 180601(2004){]} which exhibits\ninteresting dynamical localization and quasiperiodic dynamics. Our proposal\nallows for a much easier implementation of this particular rich dynamics than\nthe original one. Moreover, it allows for an additional control on the walk,\nwhich can be used to compensate for phases appearing due to external\ninteractions. To illustrate its feasibility, we discuss an example using an\noptical cavity. We also derive an approximated solution in the continuous limit\n(long--wavelength approximation) which provides physical insight about the\nprocess.",
"arxiv_id": "quant-ph/0510046",
"authors": [
"M. C. Banuls",
"C. Navarrete",
"A. Perez",
"Eugenio Roldan",
"J. C. Soriano"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.062304",
"title": "Quantum Walk with a time-dependent coin",
"url": "https://arxiv.org/abs/quant-ph/0510046"
},
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