Isometric Uncertainty Relations

@article{Vroylandt2020IsometricUR,
  title={Isometric Uncertainty Relations},
  author={Hadrien Vroylandt and Karel Proesmans and Todd R. Gingrich},
  journal={Journal of Statistical Physics},
  year={2020},
  volume={178},
  pages={1039-1053}
}
We generalize the link between fluctuation theorems and thermodynamic uncertainty relations by deriving a bound on the variance of fluxes that satisfy an isometric fluctuation theorem. The resulting bound, which depends on the system’s dimension d , naturally interpolates between two known bounds. The bound derived from the entropy production fluctuation theorem is recovered for $$d=1$$ d = 1 , and the original entropy production thermodynamic uncertainty relation is obtained in the $$d… 

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