Observable dependent quasiequilibrium in slow dynamics

Slow dynamics in glasses

We will review some of the theoretical progresses that have been recently done in the study of slow dynamics of glassy systems: the general techniques used for studying the dynamics in the mean field approximation and the emergence of a pure dynamical transition in some of these systems. We show how the results obtained for a random Hamiltonian may be also applied to a given Hamiltonian. These ...

Revising the observable consequences of slow-roll inflation

Iván Agulló,* José Navarro-Salas, Gonzalo J. Olmo, and Leonard Parker1,x Physics Department, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, Wisconsin 53201, USA Departamento de Fı́sica Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC. Facultad de Fı́sica, Universidad de Valencia, Burjassot-46100, Valencia, Spain Instituto de Estructura de la Materia, CSIC, Serrano 121, 280...

Imaging geometry through dynamics: the observable representation

Abstract For many stochastic processes there is an underlying coordinate space, V , with the process moving from point to point in V or on variables (such as spin configurations) defined with respect to V . There is a matrix of transition probabilities (whether between points in V or between variables defined on V ) and we focus on its ‘slow’ eigenvectors, those with eigenvalues closest to that...

Assessing quantum dimensionality from observable dynamics.

Using tools from classical signal processing, we show how to determine the dimensionality of a quantum system as well as the effective size of the environment's memory from observable dynamics in a model-independent way. We discuss the dependence on the number of conserved quantities, the relation to ergodicity and prove a converse showing that a Hilbert space of dimension D+2 is sufficient to ...

Slow-fast Dynamics in Wonderland