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Recent numerical insights on the many-body localization problem
Nicolas Laflorencie (Laboratoire de Physique Théorique, Université Paul Sabatier, Toulouse)
In this talk, I will discuss the problem of the many-body localization (MBL) in one-dimensional (1D) quantum interacting systems.
After an introduction to this quite popular field, I will focus on recent numerical results obtained in Toulouse on the s=1/2 random-field Heisenberg chain. State-of-the-art exact diagonalization techniques have allowed us to unveal several features of MBL physics in 1D, in particular the existence of a mobility edge, and an unexpected slow entanglement spreading in the ergodic regime.