Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Photo-induced SU(3) topological material of spinless fermions   Generation of topological phases of matter with SU(3) symmetry in a condensed
matter setup is challenging due to the lack of an intrinsic three-fold
chirality of quasiparticles. We uncover two salient ingredients required to
express a three-component lattice Hamiltonian in a SU(3) format with
non-trivial topological invariant. We find that all three SU(3) components must
be entangled via a gauge field, with opposite chirality between any two
components, and there must be band inversions between all {\it three}
components in a given eigenstate. For spinless particles, we show that such
chiral states can be obtained in a tripartite lattice with three inequivalent
lattice sites in which the Bloch phase associated with the nearest neighbor
hopping acts as $k$-space gauge field. The second and a more crucial criterion
is that there must also be an odd-parity Zeeman-like term, i.e.
$\sin(k)\sigma_z$ term where $\sigma_z$ is the third Pauli matrix defined in
any two components of the SU(3) basis. Solving the electron-photon interaction
term in a periodic potential with a modified tight-binding model, we show that
such a term can be engineered with site-selective photon polarization. Such
site selective polarization can be obtained in multiple ways, such as using
Sisyphus cooling technique, polarizer plates, etc. With the $k$-resolved Berry
curvature formalism, we delineate the relationship between the SU(3) chirality,
band inversion, and $k$-space monopoles, governing finite Chern number without
breaking the time-reversal symmetry. The topological phase is affirmed by edge
state calculation, obeying the bulk-boundary correspondence.

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The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol