Fluorescent lighting, for some people, tends to be a visual bee-in-a-bonnet. For some it can trigger migraines, for others it can cause them to be light sensitive.
It sounds as though you are experiencing the after-effects of looking at fluorescent lighting, much like you might continue to see a bright image after you've been looking at it for a little bit and then closing your eyes.
These lines, in and of themselves, are usually not concerning. If you start to notice flashing or shimmering lights, get headaches, or have changes in vision, these are reasons to see your eye doctor.
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My opinion is solely informative and does not constitute a formal medical opinion or recommendation. For a formal medical opinion and/or recommendation you must be examined by your doctor.