SKM 2021 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
DY: Fachverband Dynamik und Statistische Physik
DY 3: Poster Sesssion I: Quantum Chaos and Many-Body Quantum Dynamics
DY 3.5: Poster
Dienstag, 28. September 2021, 17:30–19:30, P
Fermionic duality beyond weak coupling: General simplifications of open-system dynamics — •Valentin Bruch1, Konstantin Nestmann1, Jens Schulenborg2, and Maarten Wegewijs1,3 — 1Institute for Theory of Statistical Physics, RWTH Aachen, 52056 Aachen, Germany and JARA-FIT, 52056 Aachen — 2Center for Quantum Devices, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen — 3Peter Grünberg Institut, Forschungszentrum Jülich, 52425 Jülich, Germany
A large class of fermionic open systems obeys a powerful dissipative analogue of the “symmetry” of hermitian conjugation in closed quantum systems. This fermionic duality relation applies to quantum-impurity transport models with strong interactions and hybridization exhibiting many-body and memory effects. Here we extend this relation from the time-nonlocal memory-kernel approach (Nakajima-Zwanzig) to prominent quantum-information inspired approaches in their exact formulation [arXiv:2104.11202]. These include the Kraus-operator decomposition of the dynamical map as well as the time-convolutionless quantum master equation with a time-local generator and generalized Lindblad jump-operators. Whereas in some of these formulations this yields a strong restriction on the involved quantities, in others it can be exploited to partially by-pass nontrivial time-evolution calculations. Fermionic duality also offers new insights into the divisibility and causal structure of the dynamics and applied to nonperturbative semigroup approximations [Phys. Rev. X 11, 021041 (2021)] it provides a new way to construct initial-slip corrections.