Multicomponent Bose–Einstein condensates, quantum Hall systems, and
chiral magnetic materials display twists and knots in the continuous
symmetries of their order parameters known as skyrmions. Originally
discovered as solutions to the nonlinear sigma model in quantum field
theory, these vectorial excitations are quantified by a topological
winding number dictating their interactions and global properties of
the host system. Here, we report the experimental observation of a
stable individual second-order meron and antimeron appearing in an
electromagnetic field. We realize these complex textures by confining
light into a liquid-crystal-filled cavity that, through its
anisotropic refractive index, provides an adjustable artificial
photonic gauge field that couples the cavity photon motion to its
polarization, resulting in the formation of these fundamental
vectorial vortex states of light. Our observations could help bring
topologically robust room-temperature optical vector textures into the
field of photonic information processing and storage.
Topological physics relies on Hamiltonian’s eigenstate singularities carrying topological charges, such as Dirac points, and – in non-Hermitian systems – exceptional points (EPs), lines or surfaces. So far, the reported non-Hermitian topological transitions were related to the creation of a pair of EPs connected by a Fermi arc out of a single Dirac point by increasing non-Hermiticity. Such EPs can annihilate by reducing non-Hermiticity. Here, we demonstrate experimentally that an increase of non-Hermiticity can lead to the annihilation of EPs issued from different Dirac points (valleys). The studied platform is a liquid crystal microcavity with voltage-controlled birefringence and TE-TM photonic spin-orbit-coupling. Non-Hermiticity is provided by polarization-dependent losses. By increasing the non-Hermiticity degree, we control the position of the EPs. After the intervalley annihilation, the system becomes free of any band singularity. Our results open the field of non-Hermitian valley-physics and illustrate connections between Hermitian topology and non-Hermitian phase transitions.
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