Regensburg 2022 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 35: Quantum Chaos and Coherent Dynamics

DY 35.2: Vortrag

Mittwoch, 7. September 2022, 15:45–16:00, H20

Explicit expressions for stationary states of the Lindblad equation for a finite state space — •Bernd Michael Fernengel — Technische Universität Darmstadt, Darmstadt, Germany

The Gorini-Kossakowski-Sudarshan-Lindblad Equation describes the time evolution of the probabilities of and the coherences between the quantum mechanical states. It is often used to model open quantum systems. We give explicit expressions of stationary solutions of the Lindblad equation in the case of a finite state space, using the concept of state transition networks of Markov chains. Our treatment is based on the so-called quantum-jump unravelling, which is an ensembles of stochastic quantum trajectories, compatible with the Lindblad equation. A single such trajectory shows a continuous time evolution, which is interrupted by stochastic jumps. We discuss differences to the classical case and conditions, under which the Lindblad equation is asymptotically stable (also called 'relaxing').