Journal
PHYSICAL REVIEW A
Volume 99, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.99.022332
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Funding
- CAPES (PROCAD2013)
- CNPq [459339/2014-1, 140832/2016-5, 3070027/2013-9]
- FAPEG (PRONEX) [201710267000503]
- FAPERJ [Pensa-Rio 010.002997/2014, CNE 010.002911/2014, CNE 202.790/2017]
- Instituto Nacional de Ciencia e Tecnologia-Informacao Quantica (INCT-IQ)
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We present a classical optics simulation of the one-dimensional Dirac equation for a free particle. Positive-and negative-energy components are represented by orthogonal polarizations of a free propagating beam, while the spatial profile represents the spatial wave function of the particle. Using a completely tunable time parameter, we observed the oscillation of the average value of the Dirac position operator-known as Zitterbewegung. We are also able to measure the so-called mean-position operator which is a single-particle observable and presents no oscillations. Our work opens the way for optical simulation of interesting phenomenon of relativistic systems, as well as condensed-matter physics, without any requirement for specially engineered medium.
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