Ultimate Kinetic Uncertainty Relation and Optimal Performance of Stochastic Clocks

Statistical Physics and Complexity Group meeting

Ultimate Kinetic Uncertainty Relation and Optimal Performance of Stochastic Clocks

  • Event time: 3:00pm until 4:00pm
  • Event date: 25th February 2025
  • Speaker: (University of Warwick)

Event details

In this talk, I will show how for Markov processes over discrete configurations, an asymptotic bound on the uncertainty of stochastic fluxes can be derived in terms of the harmonic mean of decay rates with respect to the stationary distribution. This new bound is necessarily tighter than the bound in terms of the arithmetic mean, i.e., the activity, known as the kinetic uncertainty relation. What is more, we will see that this bound can always be saturated and therefore the uncertainty relation cannot be further improved upon. As an application of this result, I will obtain exact limits on long-time precision and performance of stochastic clocks. I will also discuss how these results generalise to semi-Markov processes, including quantum reset processes, in order to consider how coherent driving can improve clock performance.