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Title:
MBL, LIOMs, and rare region effects: an introduction
Speaker:
Abstract:
I will discuss aspects of certain strongly disordered many-body quantum systems that fail to equilibrate. One characterization of this phase is the existence of a complete set of local integrals of motion (LIOMs). These may be found via perturbative approximations, but rare regions with weak disorder (Griffiths regions) have the potential to bypass barriers to thermalization. I show that these effects do not destroy the MBL phase in one dimension, under a natural assumption on eigenvalue statistics. In higher dimensions, rare region effects may indeed restore thermalization on a very long time scale.
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