title: Loschmidt echo and time reversal in complex systems.
abstract: Echoes are ubiquitous phenomena in several branches of physics, ranging from acoustics, optics, condensed matter and cold atoms to geophysics. They are at the base of a number of very useful experimental techniques, such as nuclear magnetic resonance, photon echo and time-reversal mirrors. Particularly interesting physical effects are obtained when the echo studies are performed on complex systems, either classically chaotic, disordered or many-body. Consequently, the term Loschmidt echo has been coined to designate and quantify the revival occurring when an imperfect time-reversal procedure is applied to a complex quantum system, or equivalently to characterize the stability of quantum evolution in the presence of perturbations. Here, we present the articles which discuss the work that has shaped the field in the past few years.
authors.affiliation: Department of Mathematics and Information Sciences, Northumbria University, Newcastle Upon Tyne NE1 8ST, UK.
authors.forename: Arseni
authors.initials: A
authors.lastname: Goussev
authors.affiliation: Institut de Physique et Chimie des Matériaux de Strasbourg, Université de Strasbourg, CNRS UMR 7504, Strasbourg 67034, France rodolfo.jalabert@ipcms.unistra.fr.
authors.forename: Rodolfo A
authors.initials: RA
authors.lastname: Jalabert
authors.affiliation: Instituto de Física Enrique Gaviola (CONICET-UNC) and Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Córdoba 5000, Argentina.
authors.forename: Horacio M
authors.initials: HM
authors.lastname: Pastawski
authors.affiliation: Departamento de Física and IFIBA, FCEyN, UBA Ciudad Universitaria, Pabellón 1, Ciudad Universitaria, Buenos Aires 1428, Argentina.
authors.forename: Diego A
authors.initials: DA
authors.lastname: Wisniacki
keywords: chaos; classical; quantum; reversibility; semiclassical