David Logan (Oxford University): Fock-space correlations and many-body localisation

I will discuss some aspects of many-body localisation (MBL) from a Fock-space perspective. Two basic questions will be considered: what is the nature of the disorder in the Hamiltonian defined on the associated Fock-space graph? And what minimal properties are required for a disordered many-body system to sustain a stable MBL phase? Systems which can host a stable MBL phase are argued to belong to a class of disorder known as maximally correlated. The implications of this type of disorder for one-body localisation will also be considered.