Report on 2104.11202v1

Abstract

We consider the exact time-evolution of a broad class of fermionic open quantum systems with both strong interactions and strong coupling to wide-band reservoirs.We present a nontrivial fermionic duality relation between the evolution of states (Schrödinger) and of observables (Heisenberg).We show how this highly nonintuitive relation can be understood and exploited in analytical calculations within all canonical approaches to quantum dynamics, covering Kraus measurement operators, the Choi-Jamio lkowski state, time-convolution and convolutionless quantum master equations and generalized Lindblad jump operators.We discuss the insights this offers into the divisibility and causal structure of the dynamics and the application to nonperturbative Markov approximations and their initial-slip corrections.Our results underscore that predictions for fermionic models are already fixed by fundamental principles to a much greater extent than previously thought.

Authors 4

1. Valentin Bruch Aachen Institute for Theory of Statistical Physics

   Jülich Aachen Research Alliance · RWTH Aachen University

   Affiliation as printed

   Institute for Theory of Statistical Physics , RWTH Aachen , 52056 Aachen , Germany

   JARA-FIT , 52056 Aachen , Germany

   Institute for Theory of Statistical Physics, RWTH Aachen, 52056 Aachen, Germany

   JARA-FIT, 52056 Aachen, Germany

2. Konstantin Nestmann Aachen Institute for Theory of Statistical Physics

   Jülich Aachen Research Alliance · RWTH Aachen University

   Affiliation as printed

   Institute for Theory of Statistical Physics , RWTH Aachen , 52056 Aachen , Germany

   JARA-FIT , 52056 Aachen , Germany

   Institute for Theory of Statistical Physics, RWTH Aachen, 52056 Aachen, Germany

   JARA-FIT, 52056 Aachen, Germany

3. Jens Schulenborg

   University of Copenhagen

   Affiliation as printed

   Center for Quantum Devices , Niels Bohr Institute ,

   University of Copenhagen , 2100 Copenhagen , Denmark

   Center for Quantum Devices, Niels Bohr Institute,

   University of Copenhagen, 2100 Copenhagen, Denmark

4. M. R. Wegewijs Aachen Institute for Theory of Statistical Physics

   Forschungszentrum Jülich · RWTH Aachen University

   Affiliation as printed

   Institute for Theory of Statistical Physics, RWTH Aachen, 52056 Aachen, Germany

   JARA-FIT, 52056 Aachen, Germany

   Peter Grünberg Institut, Forschungszentrum Jülich, 52425 Jülich, Germany