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Q: Fachverband Quantenoptik und Photonik

Q 40: Quantum Optics and Nuclear Quantum Optics II

Q 40.4: Talk

Wednesday, March 12, 2025, 15:15–15:30, AP-HS

Distance of pure two-mode Gaussian states and the validity of the rotating wave approximation — •Tim Heib — Theoretical Physics, Universität des Saarlandes, 66123 Saarbrücken, Germany — Institute for Quantum Computing Analytics (PGI-12), Forschungszentrum Jülich, 52425 Jülich, Germany

We quantify the deviation of arbitrary pure two-mode Gaussian states that evolve through different dynamics from a common quantum state, where the dynamics are induced by quadratic Hamiltonians. We show that this distance is fully determined by the first and second moments of the statistical distribution of the number of excitations created from the vacuum during an appropriate effective time evolution.

We employ these results exemplary for the rotating wave approximation and provide proof for its viability under suitable initial conditions.

Keywords: Rotating wave approximation; Gaussian states