Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 52: Quantum Dynamics, Decoherence and Quantum Information

DY 52.4: Talk

Thursday, March 19, 2020, 15:45–16:00, HÜL 186

Relaxing (Quantum-) Master Equations — •Bernd Fernengel and Barbara Drossel — Institut für Festkörperphysik, Technische Universität Darmstadt, Hochschulst. 6, 64289 Darmstadt, Germany

Quantum Master Equations are special kinds of transport equations. The Gorini*Kossakowski*Sudarshan*Lindblad Equation in particular describes the time evolution of both the probabilities of, and the coherences between the quantum mechanical states.

We give several necessary and sufficient criteria for (Quantum-) Master Equations being asymptotically stable (also called *relaxing*). Instead of looking at the Lindblad Equation directly, we study a stochastic differential equation of of the ket-state vector (a so called *unravelling*) that is consistent with the Lindblad Equation. The condition for the Lindblad Equation being relaxing can then be mapped to the classical case.