Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 53: Poster: Quantum Dynamics, Chaos and Information; Many Body Systems

DY 53.8: Poster

Thursday, March 19, 2020, 15:00–18:00, P1A

Fermionic duality beyond weak coupling: General simplifications of open-system dynamics — •Valentin Bruch¹, Konstantin Nestmann¹, Maarten Wegewijs^1,2,3, Jens Schulenborg⁴, and Janine Splettstoesser⁵ — ¹Institute for Theory of Statistical Physics, RWTH Aachen, 52056 Aachen, Germany — ²JARA-FIT, 52056 Aachen, Germany — ³Peter Grünberg Institut, Forschungszentrum Jülich, 52425 Jülich, Germany — ⁴Center for Quantum Devices, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen — ⁵Department of Microtechnology and Nanoscience (MC2), Chalmers University of Technology, SE-41298 Göteborg

The dynamics of a large class of open fermionic quantum systems with strong memory effects obeys an exact relation known as “fermionic duality”. These are essentially impurity-type quantum transport models with arbitrarily complex and strong local interactions exhibiting various low-temperature many-body effects. Here we present a new, more elementary derivation of this and extend it to all prominent approaches to open system dynamics, including the time-nonlocal (Nakajima-Zwanzig) and the time-local (TCL) quantum master equation with its generalized Lindblad form, and the Kraus operator decomposition. Whereas in some of these formulations this yields a strong restriction on eigenvalues and eigenvectors, in others it can be exploited to completely by-pass nontrivial time-evolution calculations. This establishes that for fermionic open systems there exists a powerful analogue of the symmetry of hermitian conjugation in closed systems.