Hannover 2020 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 2: Optomechanics
Q 2.7: Talk
Monday, March 9, 2020, 12:30–12:45, a310
Full time evolution of interacting harmonic oscillators in the ultra-strong coupling regime — •David Edward Bruschi1 and Andreas Wolfgang Schell2 — 1Theoretical Physics, Universität des Saarlandes, 66123 Saarbrücken, Germany — 2Institute of Solid State Physics, Leibniz Universität Hannover, 30167 Hannover, Germany
In this work we study the time evolution of an ideal system composed of two coupled harmonic oscillators in the strong coupling regime. We solve the dynamics analytically by employing specifically developed tools to decouple the time-evolution operator induced by quadratic Hamiltonians. We use the solution to compute quantities of interest and compare them with the analogue classical solution. We also show that the full time evolution is equivalent to a specific series of beam-splitters and single mode squeezers. This allows for the system to be simulated with simple linear optics implementations. Applications to theory and experiments are also discussed.