Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of the Pancharatnam-Berry phase of vector vortex states using
  the Hamiltonian based on the Maxwell-Schr\"odinger equation   We derived the Berry connection of vector vortex states (VVSs) from the
"true" Hamiltonian obtained through the Maxwell--Schr\"odinger equation for an
inhomogeneous anisotropic (IA) medium, and we experimentally demonstrated
measurement of the corresponding Pancharatnam--Berry (PB) geometrical phase of
VVSs. The PB phase (PBP) of VVSs can be divided into two phases: homogeneous
and inhomogeneous PBPs. Homogeneous and inhomogeneous PBPs are related to the
conventional PBP and the spatially-dependent geometric phase given by an IA
medium such as a polarization converter, respectively. We theoretically
detected that inhomogeneous PBP accumulation originates from the gauge
dependence of the index of the hybrid-order Poincar\'e sphere, which provides
an alternate method for understanding optical spin--orbital angular momentum
conversion. The homogeneous PBP, which is explicitly observed for the first
time, has implications for quantum state manipulation and information
processing.

31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat