The recent development of lattice atom optics is introduced, including atomic optical lattices, atomic magnetic lattices and magneto-optical lattices, and some new results of atomic magnetic lattices and magneto-optical lattices, and some new results on the investigations of magnetic and magneto-optical lattices are reported. Afterwards, some recent progresses of dynamic process of cold atoms and Bose-Einstein-condensed atoms in optical lattices, and coherent propagation and control of quantum states are briefly reviewed. Finally, potential applications of atomic optical lattices, atomic magnetic lattices and magneto-optical lattices in the preparation of photonic crystals and so on are briefly introduced.
We investigate the electromagnetically induced Talbot effects resulting from the gain-loss modulated optical lattices constructed in a coherent four-level
N-type atomic system. Both integer and fractional Talbot effects are studied in a parity-time (
PT) symmetric optical lattice, quasi-
PT-symmetric optical lattices, and a conventional electromagnetically induced transparency (EIT) optical lattice. Additionally, the visibilities of Talbot images from a
PT-symmetric optical lattice, quasi-
PT-symmetric optical lattices, and a conventional EIT optical lattice are examined. This study provides insights for understanding the Talbot effects in experiments based on coherent atomic systems with gain and loss properties.