Relativistic effects in quantum walks: Klein's paradox and Zitterbewegung

DOI10.1016/J.PHYSLETA.2008.08.017zbMath1225.82057arXivquant-ph/0606171OpenAlexW2053901403MaRDI QIDQ643984

Paweł Kurzyński

Publication date: 2 November 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0606171

zbMATH Keywords

Klein paradoxZitterbewegung

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (7)

Quantum Walks ⋮ A constructive approach to topological invariants for one-dimensional strictly local operators ⋮ The Witten index for 1D supersymmetric quantum walks with anisotropic coins ⋮ Weyl, Dirac and Maxwell quantum cellular automata ⋮ A systematic method to building Dirac quantum walks coupled to electromagnetic fields ⋮ Complementarity in quantum walks ⋮ Discrete Lorentz covariance for quantum walks and quantum cellular automata

Cites Work

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• From quantum cellular automata to quantum lattice gases
• Single atom quantum walk with 1D optical superlattices§
• Relativistic effects and rigorous limits for discrete- and continuous-time quantum walks
• Quantum dynamics of a particle with a spin-dependent velocity
• QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS
• Quantum walks in an array of quantum dots

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