(2 + 1)-D spatial ring solitons in a semiconductor quantum well system

¹ College of Physics and Electronic Science and Hubei Key Laboratory of Pollutant Analysis and Reuse Technology, Hubei Normal University - Huangshi 435002, PRC
² School of Physics and Information Technology, Shaanxi Normal University - Xi'an 710119, PRC
³ College of Optical and Electronic Technology, China Jiliang University - Hangzhou 310018, PRC
⁴ Institute of Photonics Technologies, National Tsing-Hua University - Hsinchu 300, Taiwan

^(a) liu0328@foxmail.com
^(b) xtxie1@gmail.com

Received: 13 July 2015
Accepted: 26 November 2015

Abstract

In this paper, we investigate the interaction between the semiconductor quantum well (QW) structure, a weak probe field and a strong control field. Due to the quantum interference effect induced by the strong control field, the absorption of the weak probe field is small and the Kerr nonlinearity can be greatly enhanced. The results show that the spatial soliton can form in the semiconductor QW structure via electromagnetically induced transparency (EIT). We also discuss the optical response of the system and obtain the giant χ⁽³⁾ and χ⁽⁵⁾ susceptibilities with opposite signs. In the one-dimension case, we obtain the analytical solutions for bright and dark spatial solitons. For a general case, we present numerical solutions for ring solitons with experimental parameters and show that the ring solitons are stable against azimuthal perturbation.