The random mass Dirac model and long-range correlations on an integrated optical platform

Robert Keil (), Julia M. Zeuner, Felix Dreisow, Matthias Heinrich, Andreas Tünnermann, Stefan Nolte and Alexander Szameit
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Robert Keil: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena
Julia M. Zeuner: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena
Felix Dreisow: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena
Matthias Heinrich: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena
Andreas Tünnermann: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena
Stefan Nolte: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena
Alexander Szameit: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena

Nature Communications, 2013, vol. 4, issue 1, 1-9

Abstract: Abstract Long-range correlation—the non-local interdependence of distant events—is a crucial feature in many natural and artificial environments. In the context of solid state physics, impurity spins in doped spin chains and ladders with antiferromagnetic interaction are a prominent manifestation of this phenomenon, which is the physical origin of the unusual magnetic and thermodynamic properties of these materials. It turns out that such systems are described by a one-dimensional Dirac equation for a relativistic fermion with random mass. Here we present an optical configuration, which implements this one-dimensional random mass Dirac equation on a chip. On this platform, we provide a miniaturized optical test-bed for the physics of Dirac fermions with variable mass, as well as of antiferromagnetic spin systems. Moreover, our data suggest the occurence of long-range correlations in an integrated optical device, despite the exclusively short-ranged interactions between the constituting channels.

Date: 2013
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DOI: 10.1038/ncomms2384

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