  Optical lattices with periodic potentials have attracted great attention in
modern optics and photonics, enabling extensive applications in atomic
manipulation, optical trapping, optical communications, imaging, sensing, etc.
In the last decade, the generation of optical lattices has been widely
investigated by various approaches such as multi-plane-wave interferometer,
beam superposition, spatial light modulators, nanophotonic circuits, etc.
However, all of the previous state-of-the-art works are restricted to only one
or two dimensions of the light field, which cannot fulfill the increasing
demand on complex light manipulation. Full-dimensional and dynamic control of
the light field, including spatial amplitude, phase and polarization, is quite
challenging and indispensable for the generation of sophisticated optical
lattices. Here, we propose and demonstrate a reconfigurable integrated
full-dimensional optical lattice generator, i.e. a photonic emitting array
(PEA) enabling reconfigurable and full-dimensional manipulation of optical
lattices, in which 4x4 photonic emitting units (PEUs) with 64 thermo-optic
microheaters are densely integrated on a silicon chip. By engineering each PEU
precisely with independent and complete control of optical properties of
amplitude, phase and polarization, various optical vortex lattices, cylindrical
vector beam lattices, and vector vortex beam lattices can be generated and
reconfigured in the far field. The demonstrated integrated optical lattice
generator paves the way for the miniaturization, full-dimensional control and
enhanced flexibility of complex light manipulation.
