I am speculating, but if
1. (Lack good terms to describe it), if we can somehow invoke a twin paradox like effect so that the time elapsed as the user move forward in time was slower relatively to the time machine moving back time, then something interesting will happen
2. Place the whole thing under a magnetic field, since magnetic fields break time reversal symmetry (Ok I don't really understand the specifics of the time reversal operator on magnetic fields enough to comment further on proposal 2...)