dorsal/arxiv
View SchemaRelativistic effects in quantum walks: Klein's paradox and Zitterbewegung
| Authors | Pawel Kurzynski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606171 |
| URL | https://arxiv.org/abs/quant-ph/0606171 |
| DOI | 10.1016/j.physleta.2008.08.017 |
| Journal | Phys. Lett. A 372, 6125 (2008) |
Abstract
Quantum walks are not only algorithmic tools for quantum computation but also not trivial models which describe various physical processes. The paper compares one-dimensional version of the free particle Dirac equation with discrete time quantum walk (DTQW). We show that the discretized Dirac equation when compared with DTQW results in interesting relations. It is also shown that two relativistic effects associated with the Dirac equation, namely Zitterbewegung (quivering motion) and Klein's paradox, are present in DTQW, which can be implemented within non-relativistic quantum mechanics.
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"abstract": "Quantum walks are not only algorithmic tools for quantum computation but also\nnot trivial models which describe various physical processes. The paper\ncompares one-dimensional version of the free particle Dirac equation with\ndiscrete time quantum walk (DTQW). We show that the discretized Dirac equation\nwhen compared with DTQW results in interesting relations. It is also shown that\ntwo relativistic effects associated with the Dirac equation, namely\nZitterbewegung (quivering motion) and Klein\u0027s paradox, are present in DTQW,\nwhich can be implemented within non-relativistic quantum mechanics.",
"arxiv_id": "quant-ph/0606171",
"authors": [
"Pawel Kurzynski"
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"quant-ph"
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"doi": "10.1016/j.physleta.2008.08.017",
"journal_ref": "Phys. Lett. A 372, 6125 (2008)",
"title": "Relativistic effects in quantum walks: Klein\u0027s paradox and Zitterbewegung",
"url": "https://arxiv.org/abs/quant-ph/0606171"
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