we demonstrate an LCLA with auxiliary electrode and a 2D/3D switchable display based on the LCLA and rotating specimen shooting method. The experimental results show that the designed LCLA has a good focusing effect under low voltage control. The 2D/3D switchable display can provide obvious horizontal parallax and a sense of 3D depth. In the experiment, the series of parallax images are obtained by rotating specimen method. In addition, the polarization-dependent LCLA with auxiliary electrode can be made into a thin film with a relatively large aperture. Therefore, the proposed LCLA may have applications to the displays with small pixel size, where it can cover multiple pixels to realize multiple 3D viewpoints, such as the mobile phones and tablets, as well as the 2D/3D displays with a larger pixel size, such as the computers and televisions.