Speaker: Lev B. Ioffe
Affiliation: CNRS/Universite Paris Sud
Date: Tuesday, 13 June 2017 at 10:00
Location: Seminar Room, Serrano 113b
At very high disorder a generic closed quantum system becomes completely localized. I argue that this (many body) localization is preempted by a wide regime of non-ergodic behavior that displays a number of unusual properties. A good system to study these effects are Josephson junction arrays in a somewhat unusual regime. In the main part of the talk I will discuss the localization of single particles on random regular graphs that provide a toy model capturing the main physics of the many body localization. I will develop a simplified analytical theory of the non-ergodic phase in this models that extends the approach developed in the work of Abou Chakra, Thouless and Anderson and compare the results with the direct numerical simulations.