There will be two talks:

14:00--14:50 Alain Joye

Title: Entropy production and two-time measurement protocols for Markovian quantum dynamics

Abstract: We provide an expression of the entropy production associated to a Markovian quantum dynamics defined by Lebowitz and Spohn, in terms of the two-time measurement protocol of the entropy observable, according to Kurchan. We do so under the detailed balance condition and, as a byproduct, we show that the probabilities of outcomes of two-time measurements are given by a continuous time Markov process determined by the Lindblad generator of the Markovian quantum dynamics. This is joint work with C.-A. Pillet.

15:00-15:50 Jakob Geisler

Title: Representations for Operators on Fock Space

Abstract: Starting from models of Non-relativistic QED and solid state physics we derive some standard representations for Hamiltonians on the bosonic and fermionic Fock space. For models, which can not be treated pertubatively, Renormalization Group methods have been proven to be a useful tool in understanding key properties of the associated Hamiltonians. Here, the Renormalization procedure can be described by a dynamical system on a suitable Banach space of Hamiltonians. We describe two different implementations of this idea and explain the importance of having a Banach algebra of Hamiltonians. Finally, a No-go theorem for the existence of a wide class of Banach algebras, based on Wick-ordered polynomials, is presented and alternative representations for Hamiltonians are discussed.