然而最近实验报道证实了这种运动。
Phys. Rev. Lett. 105, 143902 (2010)
Classical Simulation of Relativistic Zitterbewegung in Photonic Lattices
Felix Dreisow1, Matthias Heinrich1, Robert Keil1, Andreas Tünnermann1, Stefan Nolte1, Stefano Longhi2, and Alexander Szameit1,3,*
1Institute of Applied Physics, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena, Germany
2Dipartimento di Fisica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, Italy
3Physics Department and Solid State Institute, Technion, 32000 Haifa, Israel
Received 23 July 2010; revised 27 August 2010; published 28 September 2010
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.
http://prl.aps.org/abstract/PRL/v105/i14/e143902
通过模拟,光学超晶格中自由电子会有相对论量子颤抖运动。我们的实验首次证实了这种对应的光子颤抖运动。光子学实验装置可直接观察到光束的空间振荡(颤抖)运动。