# Many-body localization

*David Huse (Princeton)*

**Tue Sep 19, 14:00-15:00 (6 days ago)**

**Abstract: **Many-body localization (MBL) is Anderson localization of many interacting quantum
degrees of freedom in highly-excited states at conditions that correspond to a nonzero entropy
density at thermal equilibrium. The opposite of MBL is thermalization, where the isolated
quantum many-body system successfully acts as a thermal bath for itself, bringing all of its
small subsystems to thermal equilibrium with each other via the unitary quantum dynamics of
the closed system. For finite systems with short-range interactions the transition from
thermalization to MBL occurs in two stages as the interactions are reduced: First is a smooth
crossover to a “glassy” prethermal MBL regime, where the thermalization time of a large
system becomes extremely large but not infinite. Then, at still weaker interaction is the
dynamical phase transition in to the MBL phase, which in many cases occurs at a strength of
interactions that is so small that it is thermodynamically insignificant in the limit of large
systems, even though it has strong long-time dynamical effects.

mathematical physics

Audience: researchers in the discipline

**One world IAMP mathematical physics seminar **

**Series comments: **In order to receive announcements, please send an email to IAMPseminars@gmail.com with “subscribe” in the subject line.

Organizers: | Margherita Disertori, Ian Jauslin, Kasia Rejzner*, Hal Tasaki* |

*contact for this listing |