How to reveal topological phases and their boundaries is an intriguing issue in various systems. Entanglement, which plays fundamental role in quantum information, has been found profoundly related to the topological phases. However, experimentally exploring this relation is precluded by the limited ability to obtain the entanglement in many-body systems. In this work, we propose and experimentally demonstrate that the robustness of entanglement, quantified by the von Neumann entropy, can be used to reveal the...