Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dirac equation on a square waveguide lattice with site-dependent
  coupling strengths and the gravitational Aharonov-Bohm effect   The main objective of this work is to present a theoretical proposal for an
implementation of the $(2 + 1)$-dimensional Dirac equation in classical
gravitational and electromagnetic backgrounds in a two-dimensional waveguide
array. For this, a framework for achieving site-dependent effective coupling
constants in two-dimensional waveguide arrays is developed. Implementability of
the Dirac equation under the proposed scheme puts minor demands on gauge and
spacetime backgrounds; however, a wide array of physical spacetimes, such as
all vacuum and static solutions, prove to be implementable. As an interesting
and instructive example, we discuss a tabletop realization of the gravitational
Aharonov-Bohm effect: After devising a thought experiment in which signatures
of the gravitational Aharonov-Bohm effect could be detected, we briefly discuss
how the analogue of such a setting can in principle be implemented using the
proposed waveguide setup.

22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg