El grupo de Física Estadística y de los Sistemas Complejos les invita a asistir al siguiente seminario. 

Ponente: Ángela Capel (ICMAT, Madrid)

Título: Logarithmic Sobolev Inequalities for Quantum Many-Body Systems

Resumen:

The mixing time of Markovian dissipative evolutions of 
open quantum many-body systems can be bounded using optimal constants 
of certain quantum functional inequalities, such as the logarithmic 
Sobolev constant. For classical spin systems, the positivity of such 
constants follows from a mixing condition on the Gibbs measure, via 
quasi-factorization results for the entropy.

Inspired by the classical case, we present a strategy to derive the 
positivity of the logarithmic Sobolev constant associated to the 
dynamics of certain quantum systems from some clustering conditions on 
the Gibbs state of a local, commuting Hamiltonian. Subsequently, we 
apply this strategy to address this problem for the heat-bath dynamics.

Lugar: Seminario de Física Computacional. Planta baja del edificio de física. 

Fecha y hora: Miércoles 4 de Diciembre, 11 horas. 

Atentamente,