Mainz 2026 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 57: Open Quantum Systems III
Q 57.2: Vortrag
Donnerstag, 5. März 2026, 14:45–15:00, P 4
Deterministic Quantum Jump (DQJ) Method for Weakly Dissipative Systems — •Marcus Meschede1 and Ludwig Mathey1,2 — 1Center for Optical Quantum Technologies and Institute for Quantum Physics, University of Hamburg, 22761 Hamburg, Germany — 2The Hamburg Center for Ultrafast Imaging, Luruper Chaussee 149, 22761 Hamburg, Germany
Simulating large open quantum systems is computationally expensive due to the complexity scaling of the density matrix formalism. Instead of time evolving the total density matrix, Quantum jump methods approximate the evolution through a statistical ensemble of quantum jump trajectories. In this work, we propose the Deterministic Quantum Jump (DQJ) method for the weak dissipation limit of the Lindblad master equation. In DQJ, quantum jumps are deterministically placed on a suitable jump time grid. For time evolutions in which the probability of trajectories with few jumps dominate higher order jump trajectories N, we show that the infidelity of the DQJ method with the true evolution can scale with ∝ 1/N4 in the number of trajectories. This drastically outperforms the Standard Quantum jump (SQJ) method, scaling with ∝ 1/N. We demonstrate the improved scaling on the evolution of a system of coupled qubits as well as on the the spectrum of a Kerr-anharmonic oscillator. Generally, our DQJ method is suitable to all systems in which quantities are sensitive to weak coupling to the environment. In particular, it is native to the field of quantum computing, e.g. cQED setups, in which the weak coupling to the environment is crucial in evaluating quantum protocols.
Keywords: Open Quantum Systems; Quantum Jump Method; Quantum Protocols; Numerical Method