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, --------------------------------------------------------------------------------- Daniel Manzano Electromagnetism and Condensed Matter Department Institute “Carlos I” for Theoretical and Computational Physics University of Granada Facultad de Ciencias, Av. Fuentenueva s/n Granada 18071, Spain Phone: +34 958241000 Ext: 20569 http://ic1.ugr.es/manzano/ http://ic1.ugr.es/manzano/