SAMOP 2023 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 5: Quantum Optics: Open Quantum Systems

Q 5.5: Vortrag

Montag, 6. März 2023, 12:00–12:15, F342

Exact treatment of strongly damped quantum dynamics with a continuous degree of freedom — •Stefanie Eileen Bränzel — Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden, Germany

Current experiments show an increasing need for an exact description of the system dynamics because of its strong interaction with an environment. For instance in the field of optomechanics, there are many setups where a quantum system couples to an oscillating cantilever, e.g. gravimetry or an optical cavity with an oscillating mirror. However, for such systems the analytical solutions are generally infeasible. Thus, numerical methods are needed.

We apply the Hierarchy of Pure States (HOPS) formalism to strongly-damped open quantum systems with a continuous degree of freedom. This approach provides a non-perturbative description for the interaction between a quantum particle trapped in an arbitrary position-dependent potential with an environment. As an example, we demonstrate the accuracy of this HOPS method written in position space for a harmonic potential where the analytical solution is known for a Lorentzian environment. We furthermore visualize the stochastic dynamics by means of the Wigner representation. We recognize that our approach yields accurate results and plan on applying it to systems with an anharmonic potential, e.g. the Morse potential. We are convinced that the HOPS formalism will allow us to thoroughly investigate optomechanical systems, strongly damped cantilever and much more.