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We propose a novel scheme for asymmetric light diffraction of a weak probefield into a one-dimensional (1D) and two-dimensional (2D) lattice occupiedwith cold atoms. The atoms are driven into the double lambda-type configurationby a standing wave, two coupling laser fields and a probe. Our study suggeststhe proposed scheme is capable of forming an asymmetric diffraction as a resultof inducing optical parity-time symmetry in both 1D and 2D lattices. Moreoverit is demonstrated that the asymmetric pattern of diffraction can bedynamically manipulated by means of adjusting the relative phase. Furthermoreit is revealed that in the case of 1D lattice (grating), variation of theintensities of the coupling fields has a significant impact on the intensity ofdiffraction orders in the uneven distribution of diffraction.

Phase-controlled Optical PT symmetry and asymmetric light diffraction in one- and two-dimensional optical lattices