Thermodynamics of precision in quantum non-equilibrium steady states
Prof. Dr. John Goold (School of Physics, Trinity College, Dublin, Ireland)

Thermodynamic uncertainty relations (TURs) describe a fundamental trade-off between current fluctuations and entropy production, with marked consequences for the operation of meso and nano-scale devices, such as thermoelectric engines.
However, relations of this form have so far only been derived for classical Markovian systems and can be violated in the quantum regime.
In this talk I will show that the geometry of quantum non-equilibrium steady-states alone, already directly implies the existence of a TUR, but with a looser bound. Our approach therefore emphasises the geometrical nature of TURs, shedding light on the delicate relationship between quantum effects and current fluctuations in autonomous machines.