1. thermodynamic uncertainty relation in quantum transport: theory and experiment

Bijay Kumar Agarwalla

Indian Institute of Science Education and Research (IISER), Pune, India

13 October 2020 Tue 3 pm

                                      IBS Center for Theoretical Physics of Complex Systems (PCS), Administrative Office (B349), Theory Wing, 3rd floor

                                      Expo-ro 55, Yuseong-gu, Daejeon, South Korea, 34126 Tel: +82-42-878-8633                     

Trade-off relations between the relative uncertainty of currents and the associated entropy production have been of enormous interest in the last few years in the field of non-equilibrium stochastic thermodynamics. It is now realized, for example, that the optimization of heat engines should balance power, efficiency as well as power fluctuations. In this talk, I will first present our recent results for steady-state thermodynamic uncertainty relation (TUR) for quantum charge and energy transport. In the second part of my talk, I will present our experimental results for heat exchange within the NMR setup. Our measurements of heat cumulants demonstrate the validity of generalized versions of the TUR, which are based on the fluctuation symmetry, but violations of the 'specialized' TUR, which holds only under certain dynamics. Theoretical calculations excellently trace experiments, providing deep insights about the violation of this specialized TUR.