# Many-body localization

*David Huse (Princeton)*

**19-Sep-2023, 14:00-15:00 (13 months 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

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Organizers: | Margherita Disertori*, Wojciech Dybalski*, Ian Jauslin, Hal Tasaki* |

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