Balancing Fluctuations and Dissipation Along Quantum Jump Trajectories
September 4th, 2019 HARRY MILLER University of Exeter

For open quantum systems, entropy production provides a statistical measure of irreversibility stemming from the dissipation with respect to an environment. It can be identified at the stochastic level by unravelling the dynamics in terms of individual quantum trajectories, giving rise to the so-called fluctuation relations and second law of thermodynamics. In this talk I will discuss the non-classical features of stochastic entropy production. I will show that unlike classical systems, one cannot always find a process that minimises both average dissipation and the subsequent fluctuations. This inherent trade-off arises due to the presence of quantum coherence during the evolution of the system. This motivates the following optimisation problem: how should one control the system in order to balance both the fluctuations and dissipation? By using information geometry, I will demonstrate that the optimal route to take follows a geodesic path in the manifold of steady-states associated with the open system dynamics.

Seminar, September 4, 2019, 12:00. ICFO’s Seminar Room

Hosted by Prof. Antonio Acín