IQI Weekly Seminar

Abstract: The existence of a positive logarithmic Sobolev constant implies a bound on the mixing time of a quantum dissipative evolution under the Markov approximation. In this talk, we will discuss a new method in 1D to prove that a quantum Markov semigroup has a positive log-Sobolev constant and we will give sufficient static conditions on the Gibbs state of a local, commuting Hamiltonian to use this method to get new results for the heat-bath dynamics. This is a joint work with Ivan Bardet, Nilanjana Datta, Angelo Lucia, David Pérez-García and Cambyse Rouzé.