Fermionic duality: General symmetry of open systems with strong dissipation and memory
Valentin Bruch, Konstantin Nestmann, Jens Schulenborg, Maarten R. Wegewijs
SciPost Phys. 11, 053 (2021) · published 10 September 2021
- doi: 10.21468/SciPostPhys.11.3.053
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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 (Schr\"odinger) 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{\l}kowski 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.
Cited by 5
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Valentin Bruch,
- 1 2 Konstantin Nestmann,
- 3 Jens Schulenborg,
- 1 2 4 Maarten R. Wegewijs
- 1 Rheinisch-Westfälische Technische Hochschule Aachen / RWTH Aachen University [RWTH]
- 2 Jülich Aachen Research Alliance [JARA]
- 3 Niels Bohr Institute [NBI]
- 4 Forschungszentrum Jülich [FZ Jülich]