Perturbation theory approaches to Anderson and Many-Body Localization: some lecture notes

Abstract

These are lecture notes based on three lectures given by Antonello Scardicchio at the December 2016 Topical School on Many-Body-Localization organized by the Statistical Physics Group of the Institute Jean Lamour in Nancy. They were compiled and put in a coherent logical form by Thimothée Thiery.

41 pages, 6 figures; Lecture notes based on three lectures given by Antonello Scardicchio at the December 2016 Topical School on Many-Body-Localization organized by the Statistical Physics Group of the Institute Jean Lamour in Nancy

References in corpus (7)

• Anderson Transitions
• Integrals of motion in the Many-Body localized phase
• Constructing local integrals of motion in the many-body localized phase
• Many-body localization dynamics from gauge invariance
• Scenario for delocalization in translation invariant systems
• Critical properties of the Anderson localization transition and the high dimensional limit
• A journey into localization, integrability and thermalization

Cited by in corpus (3)

• Metastability and discrete spectrum of long-range systems
• Theoretical survey of unconventional quantum annealing methods applied to adifficult trial problem
• Randomness-Assisted Exponential Hierarchies