arXiv:quant-ph/0606171AbstractReferencesReviewsResources
Relativistic effects in quantum walks: Klein's paradox and Zitterbewegung
Published 2006-06-20Version 1
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.
Comments: 4 pages, 3 figures
Journal: Phys. Lett. A 372, 6125 (2008)
Categories: quant-ph
Keywords: relativistic effects, kleins paradox, zitterbewegung, free particle dirac equation, discrete time quantum walk
Tags: journal article
Related articles: Most relevant | Search more
Discrete time quantum walk with nitrogen-vacancy centers in diamond coupled to a superconducting flux qubit
arXiv:1103.4625 [quant-ph] (Published 2011-03-23)
Zitterbewegung is not an observable
arXiv:2006.16003 [quant-ph] (Published 2020-06-25)
Zitterbewegung and the Charge of an Electron