How to react to a girl staring at me everytime she sees me at my workplace

This usually happens whenever I visit the cafeteria in my hospital where I do my post graduation. There is this particular nursing student who's doing post basic nursing course(must be around 21 to 23, me being 26). Everytime I come to the cafeteria and when she is there. She just stares at me. When we lock eyes, I just break away after 2 or 3 seconds. Sometimes I feel like doing a staredown contest but it won't look nice. Should I just talk to her? I tried ignoring but the stares continue. Any ideas? This has happened more than 10 or 15 times. And for months.