Corpus ID: 203591457

The Dirac equation in $2+1$ dimensional gravity with classical electromagnetic background, the gravitational Aharonov-Bohm effect and coupled waveguide arrays.

@article{Koke2019TheDE,
  title={The Dirac equation in \$2+1\$ dimensional gravity with classical electromagnetic background, the gravitational Aharonov-Bohm effect and coupled waveguide arrays.},
  author={Christian Koke and C. Noh and D. G. Angelakis},
  journal={arXiv: Quantum Physics},
  year={2019}
}
The main objective of this work is to present an implementation of the Dirac equation, coupled to classical gravitational and $U(1)$ background fields, in $2+1$ dimensions in a waveguide array. We study the Dirac equation in such backgrounds, make some assumptions on the metric and the vector potential and argue that the restrictions allow for a wide array of physical spacetimes, such as all vacuum solutions of Einstein's field equations and all static spacetimes. Next, we develop a method that… Expand

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