Two DPRMs
Consider two non-interesecting DPRMs navigating the same energy landscape:
The non-crossing condition can be implemented by considering the two paths as world-lines of fermions:
Occupation of the top 2 "energy levels" gives:
Reduction in F_2 due to the non-crossing constraint (L=512):
Few DPRMs
This pattern continues for multiple non-crossing paths.
Similar scaling is observed for the differences between means of the top "energy differences"