Optical simulation of Majorana physics
arXiv:1310.1400 · doi:10.1103/PhysRevA.89.015803
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.
10 pages, 2 figures
References in corpus (5)
Cited by in corpus (14)
- Topological magnetoplasmon
- Dirac equation in 2-dimensional curved spacetime, particle creation, and coupled waveguide arrays
- Lattice-layer entanglement in Bernal-stacked bilayer graphene
- Optical simulation of neutrino oscillations in binary waveguide arrays
- An introduction to arrays of coupled waveguides
- Squeezed displaced entangled states in the quantum Rabi model
- On Stability of Flat Band Modes in a Rhombic Nonlinear Optical Waveguide Array
- Photonic realization of the deformed Dirac equation via the segmented graphene nanoribbons under inhomogeneous strain
- Graphene lattice-layer entanglement under non-Markovian phase noise
- Quasi-flat bands in waveguide arrays
- On the Majorana representation of the optical Dirac equation
- Dirac equation on a square waveguide lattice with site-dependent coupling strengths and the gravitational Aharonov-Bohm effect
- Dynamics of Majorana fermions in two-dimensions
- Continuous monitoring measured signals bounded by past and future conditions in enlarged quantum systems