Freiburg 2024 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 17: Quantum Information I

Q 17.3: Talk

Tuesday, March 12, 2024, 11:30–11:45, HS 1199

Analytical quantum dynamics of coupled harmonic oscillators — •David Edward Bruschi — Institute for Quantum Computing Analytics (PGI-12), Forschungszentrum Jülich, Jülich, Germany

Harmonic oscillators are paramount systems in quantum physics. They are used to model a variety of physical systems, among which the modes of the electromagnetic field are a preeminent example. Dynamics of coupled quantum harmonic oscillators have been studied extensively, however, simple exact analytical solutions to problems of key interest have so far been lacking.

We employ symplectic geometry and the covariance matrix formalism in the context of quantum dynamics of coupled harmonic oscillators to provide the analytical solution to a few problems of interest: the validity of the rotating wave approximation for bosonic systems; exact solutions to (multimode and multi-oscillator) quantum optomechanical systems; dynamics of two coupled harmonic oscillators with single and two-mode squeezing. We conclude by commenting on current research and future direction.

Keywords: Quantum Dynamics; Lie algebras; Quantum Simulations; Harmonic Oscillators