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CATEGORIES:CQIF Seminar
SUMMARY:Energy exchanges in open quantum systems\, applied
to quasi-free fermions. - Simon Andreys
DTSTART;TZID=Europe/London:20190214T141500
DTEND;TZID=Europe/London:20190214T151500
UID:TALK118933AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/118933
DESCRIPTION:We consider a quantum system in interaction with s
everal thermal baths\, and study the energy flux b
etween the system and the baths. The influence of
the baths on the system is modeled by adding a dis
sipative term to the SchrÃ¶dinger equation\, making
it a "Lindblad equation"\; the dynamic is no more
unitary but consists in completely positive trace
-preserving maps. Under a detailed balance conditi
on\, we can define the energy flux coming from eac
h baths into the system\; they satisfy the second
principle\, and we can for example design a "quant
um heat pump":https://arxiv.org/abs/1009.0865 . I
will introduce the formalism of quasi-free fermion
ic systems\, and show that no heat pump can be con
structed from such systems. If time permits\, I wi
ll describe what happens when the fluxes are conti
nuously measured\, and how to describe the large d
eviations of these fluxes\, in the spirit of "Jaks
ic Pillet and Westrich":https://arxiv.org/abs/1607
.00162
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberfor
ce Road\, Cambridge
CONTACT:Johannes Bausch
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