Fermionic duality: General symmetry of open systems with strong dissipation and memory

SciPost Physics, vol. 11

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-Jamiołkowski 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

   RWTH Aachen University · Jülich Aachen Research Alliance

   Affiliation as printed

   Jülich Aachen Research Alliance

   RWTH Aachen University

2. Konstantin Nestmann Aachen

   RWTH Aachen University · Jülich Aachen Research Alliance

   Affiliation as printed

   Jülich Aachen Research Alliance

   RWTH Aachen University

3. Jens Schulenborg
   Affiliation as printed

   Niels Bohr Institute

   Niels Bohr Inst

4. M. R. Wegewijs Aachen

   RWTH Aachen University · Forschungszentrum Jülich · Jülich Aachen Research Alliance

   Affiliation as printed

   Forschungszentrum Jülich

   Jülich Aachen Research Alliance

   RWTH Aachen University