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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The classical entropy of quantum states - Solovej\
, JP (University of Copenhagen)
DTSTART;TZID=Europe/London:20131014T113000
DTEND;TZID=Europe/London:20131014T123000
UID:TALK48088AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/48088
DESCRIPTION:Co-author: Elliott Lieb (Princeton University) \n\
nTo quantify the inherent uncertainty of quantum s
tates Wehrl ('79) suggested a definition of their
classical entropy based on the coherent state tran
sform. He conjectured that this classical entropy
is minimized by states that also minimize the Heis
enberg uncertainty inequality\, i.e.\, Gaussian co
herent states. Lieb ('78) proved this conjecture a
nd conjectured that the same holds when Euclidean
Glauber coherent states are replaced by SU(2) Bloc
h coherent states. This generalized Wehrl conjectu
re has been open for almost 35 years until it was
settled last year in joint work with Elliott Lieb.
Recently we simplified the proof and generalized
it to SU(N) for general N. I will present this her
e.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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