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SUMMARY:Quantum graphs with a time asymmetry: spectral optimization and sp
 ectral statistics - Pavel Exner (Czech Technical University)
DTSTART:20260501T100000Z
DTEND:20260501T110000Z
UID:TALK246460@talks.cam.ac.uk
DESCRIPTION:We discuss spectral properties quantum graphs with vertex coup
 lings which violate the time-reversal invariance. We focus on the simplest
  example of such a coupling and address two questions. The first is about 
 bounds on the discrete spectrum\, in particular\, about the topology which
  optimizes the ground-state eigenvalue. The other is related to quantum ch
 aos: we are going to demonstrate an example of a graph the properties of w
 hich\, both in the eigenvalue spacing distribution and the form factor\, d
 iffer from the random-matrix patterns commonly expected in this situation
 . The results come from a common work with Ram Band\, Divya Goel\, Jonatha
 n Rohleder and Aviya Strauss.
LOCATION:Seminar Room 2\, Newton Institute
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