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SUMMARY:Energy preserving evolutions over Bosonic systems - Paul Gondolf\,
  University of Tuebingen
DTSTART:20240606T131500Z
DTEND:20240606T141500Z
UID:TALK217579@talks.cam.ac.uk
CONTACT:Laurens Lootens
DESCRIPTION:In the talk\, we will investigate semigroup evolutions in boso
 nic systems arising from GKLS-form generators composed of bosonic annihila
 tion and creation operators. We will start with a little revision of semig
 roup theory and then discuss the problem's setup. Looking into some previo
 us work on this topic (Gaussian semigroups and CAT codes) and the mathemat
 ical complications that arise due to the unbounded nature of the generator
 s\, we will make some conclusions about possible approaches. Using these i
 nsights\, we will construct non-commutative Sobolev spaces and tailor the 
 generation theorems by Hille-Yosida/Lumer-Phillips to our setting. I will 
 end the talk with some applications\, a discussion of the benefits of this
  framework and some open questions.
LOCATION:MR2
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