Classical Simulation of Relativistic<i>Zitterbewegung</i>in Photonic Lattices
Felix DreisowInstitute of Applied Physics, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena, GermanyMatthias HeinrichInstitute of Applied Physics, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena, GermanyRobert KeilInstitute of Applied Physics, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena, GermanyAndreas TünnermannInstitute of Applied Physics, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena, GermanyStefan NolteInstitute of Applied Physics, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena, GermanyStefano LonghiDipartimento di Fisica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, ItalyAlexander SzameitInstitute of Applied Physics, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena, Germany
2010de
ABI
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We present the first experimental realization of an optical analog for relativistic quantum mechanics by simulating the Zitterbewegung (trembling motion) of a free Dirac electron in an optical superlattice. Our photonic setting enables a direct visualization of Zitterbewegung as a spatial oscillatory motion of an optical beam. Direct measurements of the wave packet expectation values in superlattices with tuned miniband gaps clearly show the transition from weak-relativistic to relativistic and far-relativistic regimes.
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