Description: Personal homepage of Valentin Bruch with CV and research interests in condensed matter theory and open quntum system dynamics
kondo (23) open quantum systems (2) valentin bruch (1) condensed matter theory (1) renormalization group (1) frtrg (1) fermionic duality (1)
[email protected] stiglers-eponym 0000-0001-5562-9285 RWTH Aachen University Institute for Theory of Statistical Physics Research Training Group 1995 I am a PhD candidate in theoretical condensed matter physics at RWTH Aachen University. My interests lie in the field of open quantum systems, focussing on general analytic insights and renormalization group methods.
In this thesis, we study open quantum systems in nonequilibrium with strong correlations and memory effects from two complementary views.
In the first part, we discuss the so-called fermionic duality relation, which can be used to simplify the description of the dynamics for a large class of fermionic models. Unlike ordinary symmetries, this relation connects the dynamics for different sets of parameters. We provide a new and simpler proof of this duality relation, which is also closer adapted to quantum information formulations of open system dynamics. This derivation highlights what prohibits or limits the generalization of the duality rela