Abstract

We theoretically study the generation of orbital angular momentum (OAM) based on the four-wave mixing process in a diamond-type homogeneously broadened $^{85}{\rm Rb}$ atomic system. We use density matrix formalism at a weak field limit to explain the origin of vortex translation between different optical fields and a generated signal. We show how the singularities, which are omnipresent in the phases of the input optical vortex beams, can be profoundly mapped to atomic coherence in the transverse plane, which holds the origin of OAM translation. This translation process works well even for a moderately intense probe and control field, which enhances medium nonlinearity. The generation and manipulation of OAM of the light beam in a nonlinear medium may have important applications in optical tweezers and quantum information processing systems.

© 2020 Optical Society of America

Coherent transfer of orbital angular momentum to excitons by optical four-wave mixing

Y. Ueno, Y. Toda, S. Adachi, R. Morita, and T. Tawara
Opt. Express 17(22) 20567-20574 (2009)

Toward generation of mid-infrared orbital angular momentum beams by tailoring four-wave mixing in chalcogenide photonic crystal fiber

Weiqing Gao, Wenhui Jiang, Liang Tong, Wenwen Dai, Shaoqing Liu, Wu Chen, Zhengxiong Zhang, Xiaohui Ma, Yong Zhou, Wei Zhang, Wentan Fang, and Meisong Liao
J. Opt. Soc. Am. B 38(3) 692-698 (2021)

Four-wave mixing of light beams with engineered orbital angular momentum in cold cesium atoms

S. Barreiro, J. W. R. Tabosa, Juan P. Torres, Yana Deyanova, and Lluis Torner
Opt. Lett. 29(13) 1515-1517 (2004)

Highly efficient vortex four-wave mixing in asymmetric semiconductor quantum wells

Jing Qiu, Zhiping Wang, Dongsheng Ding, Weibin Li, and Benli Yu
Opt. Express 28(3) 2975-2986 (2020)

Mapping of atoms via the coherence superpositions of orbital angular momentum light

Xingke Wu, Zhiping Wang, and Benli Yu
J. Opt. Soc. Am. B 41(3) 768-773 (2024)