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SUMMARY:Recent results and open problems on many-body localization - Stolz
 \, G (University of Alabama at Birmingham)
DTSTART:20150626T090000Z
DTEND:20150626T100000Z
UID:TALK59954@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:In the most recent decade the topic of many-body localization\
 , understood as the absence of thermalization in interacting quantum many-
 body systems\, has seen strong attention and rapid development in the phys
 ics literature. We will survey the relatively small number of mathematical
 ly rigorous results on MBL which have been obtained\, in particular for di
 sordered oscillator systems and some models of quantum spin chains. Specif
 ically\, we will consider manifestations of MBL such as absence of many-bo
 dy transport\, exponential decay of ground and thermal state correlations\
 , as well as area laws for the entanglement of states. We will also mentio
 n some of the many open problems in this field.\n
LOCATION:Seminar Room 1\, Newton Institute
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