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SUMMARY:Energy exchanges in open quantum systems\, applied to quasi-free f
 ermions. - Simon Andreys
DTSTART:20190214T141500Z
DTEND:20190214T151500Z
UID:TALK118933@talks.cam.ac.uk
CONTACT:Johannes Bausch
DESCRIPTION:We consider a quantum system in interaction with several therm
 al baths\, and study the energy flux between the system and the baths. The
  influence of the baths on the system is modeled by adding a dissipative t
 erm to the Schrödinger equation\, making it a "Lindblad equation"\; the d
 ynamic is no more unitary but consists in completely positive trace-preser
 ving maps. Under a detailed balance condition\, we can define the energy f
 lux coming from each baths into the system\; they satisfy the second princ
 iple\, and we can for example design a "quantum heat pump":https://arxiv.o
 rg/abs/1009.0865 . I will introduce the formalism of quasi-free fermionic 
 systems\, and show that no heat pump can be constructed from such systems.
  If time permits\, I will describe what happens when the fluxes are contin
 uously measured\, and how to describe the large deviations of these fluxes
 \, in the spirit of "Jaksic Pillet and Westrich":https://arxiv.org/abs/160
 7.00162
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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