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Quantum Simulation

Optical simulation of Majorana physics

arXiv
Authors: B. M. Rodríguez-Lara, H. M. Moya-Cessa

Year

2013

Paper ID

32385

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

We show a procedure to classically simulate the Majorana equation in 1+1 dimensions via two one-dimensional photonic crystals. We use a decomposition of the Majorana equation into two Dirac equations and propose a novel approach that uses a bi-chromatic refractive index distribution and nearest neighbor couplings of the type found in Glauber-Fock lattices. This allows us to escape the restriction of staying near the Brillouin zone imposed by the classical simulation of Dirac dynamics with bi-chromatic lattices. Furthermore, it is possible to simulate the evolution of Gaussian wavepackets under the Majorana/Dirac equation with light impinging only into the first waveguide of our bi-chromatic-Glauber-Fock lattice.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We show a procedure to classically simulate the Majorana equation in 1+1 dimensions via two one-dimensional photonic crystals.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1310.1400 [2] arXiv https://arxiv.org/abs/1310.1400 [3] Publisher https://arxiv.org/abs/1310.1400

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