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SUMMARY:Undecidability in Quantum Physics: Hilbert’s Second and Sixth Pr
 oblems Meet - David Pérez García\, Complutense University of Madrid
DTSTART:20180504T130000Z
DTEND:20180504T140000Z
UID:TALK105565@talks.cam.ac.uk
CONTACT:Rachel Furner
DESCRIPTION:The pioneering work of Goedel and Turing in the 30s showed tha
 t there exist problems in mathematics and computer science that cannot be 
 solved. They are called undecidable. Since then\, several problems in phys
 ics have been shown to be undecidable too. In this talk I will show that m
 any interesting properties of a quantum many body system are indeed undeci
 dable. This negative result has\, however\, a positive side. It predicts t
 he existence of a new effect that we name "size-driven quantum phase trans
 ition”. I will present this effect\, its characteristic features\, as we
 ll as our recent ideas to try to observe it.
LOCATION:MR2 Centre for Mathematical Sciences
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