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SUMMARY:Liouville-Fock-State Lattices and the Limits of Spectral Chaos Dia
 gnostics in Open Quantum Systems
DTSTART:20260609T110000Z
DTEND:20260609T130000Z
DTSTAMP:20260520T091500Z
UID:indico-event-9727@indico.fysik.su.se
DESCRIPTION:Speakers: Caio Botelho Naves (Stockholm University)\n\nIn this
  licenciate thesis\, based on two articles\, we discuss the properties of 
 open quantum systems and investigate how their dynamics can be used to des
 ign a synthetic lattice framework and how their spectra behave based on tw
 o. The first article presents an extension of the Fock state lattice (FSL)
  framework to open quantum systems. Using the Liouville space representati
 on\, density matrices can be vectorized and the dynamics are generated by 
 a linear operator\, the Liouvillian\, allowing for the introduction of Lio
 uville-Fock state lattices (LFSLs). This framework provides an intuitive a
 nd visual understanding of the dynamics of open quantum systems and shows 
 how environmental effects can give rise to phenomena such as directional t
 ransport\, sources and sinks\, typical phenomena occurring in classical pr
 ocesses. As an example\, we show how frustration in LFSL can be induced by
  the environment. The second article in the work focuses on non-normality 
 of Liouvillians and spectral diagnostics of chaos. Non-normal operators ar
 e characterized by the fact that their eigenvectors are not orthogonal\, w
 hich leads to the spectrum exhibiting strong sensitivity to perturbations.
  We show that strong non-normality can give rise to random matrix-like spe
 ctral statistics without the system dynamics exhibiting chaotic signatures
 . Therefore\, we conclude that this violates established assumptions and p
 oints to the need for alternative methods to characterize chaotic dynamics
  in open quantum systems.\n\nhttps://indico.fysik.su.se/event/9727/
LOCATION:A4:3001 (AlbaNova Main Building)
URL:https://indico.fysik.su.se/event/9727/
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