Thermodynamic uncertainty relations in the quantum regime - GRHAFITE
Seminário do Grupo de Hádrons e Física Teórica - GRHAFITE
Prof. Gabriel Landi
24/09, 3ª feira, 17h. IFUSP, Ed. Principal, sala 3029.
Thermodynamic uncertainty relations (TURs) place strict bounds on the fluctuations of thermodynamic quantities in terms of the associated entropy production. So far, however, they have only been derived for classical systems undergoing Markovian dynamics. In this seminar we discuss some of our recent results generalizing the TUR to the quantum regime.
We show that a dynamical TUR can be derived from the exchange fluctuation theorems describing the statistics of heat and particle flow between multiple systems. Our result holds for generic quantum systems undergoing general non-Markovian and non-stationary processes.
Moreover, it provides bounds not only for the variances, but also for the correlations between thermodynamic quantities. To demonstrate the relevance of TURs to the design of nanoscale machines, we consider the operation of a two-qubit SWAP engine undergoing an Otto cycle and show how our results can be used to place strict bounds on the correlations between heat and work.