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:
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Reduction in F_2 due to the non-crossing constraint (L=512):


Few DPRMs
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This pattern continues for multiple non-crossing paths.

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Similar scaling is observed for the differences between means of the top "energy differences"

