Dresden 2009 – wissenschaftliches Programm

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SYAL: Symposium Anderson Localization in Nonlinear and Many-Body Systems

SYAL 1: Anderson Localization in Nonlinear and Many-Body Systems

SYAL 1.4: Hauptvortrag

Montag, 23. März 2009, 15:30–16:00, BAR SCHÖ

Many Body Localization — •Boris Altshuler — Columbia University; NEC Laboratories America, 538 West 120th Street, Pupin Hall, 10027 New York, NY, USA

Usually the term Anderson localization is applied to the wave functions of single quantum particles in a random potential. However the concept of localization turns out to be much broader and manifests itself in various forms. For example, it provides an adequate framework for discussing the transition between integrable and chaotic behavior in quantum systems: it is tempting to view such a transition as a delocalization of the system in the space of quantum numbers of the original integrable model due to its perturbation, which violates the integrability. Recently it became clear that the ideas developed for understanding quantum mechanics of a single particle can be extended to solve many-body problems in the presence of disorder, e.g., to describe Metal to Insulator Transitions in conductors, where the interaction between the charge carriers can not be neglected.