Orateur
Jens Eisert
(Free University, Berlin)
Description
The phenomenon of many-body localisation received a lot of attention
recently, both for its implications in condensed-matter physics of
allowing systems to be an insulator even at non-zero temperature as
well as - maybe most importantly - in the context of the foundations
of quantum statistical mechanics, providing examples of systems
showing the absence of thermalisation following out-of-equilibrium
dynamics. Still, it seems fair to say that many aspects of it are
still unsatisfactorily understood.
In this talk, following an introduction into recent progress on
thermalisation of closed quantum systems, I will make the attempt to
bring together several aspects of the phenomenology of many-body
localisation, attaining new insights into the connections between
seemingly unrelated features. Ideas of entanglement area laws,
Lieb-Robinson bounds, filter functions, approximately local constants
of motion, transport, and tensor network states such as matrix-product states
and matrix-product operators will feature strongly. We will discuss
experimentally accessible witnesses of many-body localisation in
cold atomic quantum simulators that have the potential to clearly
distinguish Anderson insulators from many-body localised models.
