Tightening Thermodynamic Uncertainty Relations Using the Probability of Null-Entropy Events

Fluctuation theorems establish that thermodynamic processes at the microscale can occasionally result in negative entropy production. At the microscale, another distinct possibility becomes more likely: processes where no entropy is produced overall, called null-entropy events. In this talk, I shall examine the constraints imposed by such null-entropy events on the fluctuations of thermodynamic currents. By incorporating the probability of null-entropy events, we obtain tighter bounds on finite-time thermodynamic uncertainty relations derived from fluctuation theorems. I shall demonstrate this framework using an example of a qudit SWAP engine.