Bonn 2025 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 28: Decoherence and Open Quantum Systems (joint session QI/Q)
QI 28.5: Vortrag
Donnerstag, 13. März 2025, 12:15–12:30, HS II
Open System Semigroup Dynamics beyond the Lindblad Class — •Nadine Diesel, Charlotte Bäcker, and Walter Strunz — TUD Dresden University of Technology, Dresden, Germany
Open quantum systems are of interest in many fields of study, e.g., quantum computation and quantum optics. A powerful tool in treating dissipation in open quantum system dynamics are quantum master equations. The Lindblad (GKSL) master equation is well-known for ensuring completely positive dynamical semigroup evolution, a natural framework for physical dynamics. However, is it possible to extend the class of semigroup generators beyond the Lindblad framework? We relax the strict requirement of complete positivity by introducing the concept of local (complete) positivity. Here, dynamics are defined as locally (completely) positive if a nonempty proper subset of initial states give rise to (completely) positive quantum dynamics. We analyze the existence of such dynamics for qubits and examine their potential physical implications.
Keywords: dynamical semigroup; open quantum systems; qubit dynamics; master equations