Optimal control of hybrid optomechanical systems for generating non-classical states of mechanical motion
Journal article, 2019

Cavity optomechanical systems are one of the leading experimental platforms for controlling mechanical motion in the quantum regime. We exemplify that the control over cavity optomechanical systems greatly increases by coupling the cavity also to a two-level system, thereby creating a hybrid optomechanical system. If the two-level system can be driven largely independently of the cavity, we show that the nonlinearity thus introduced enables us to steer the extended system to non-classical target states of the mechanical oscillator with Wigner functions exhibiting significant negative regions. We illustrate how to use optimal control techniques beyond the linear regime to drive the hybrid system from the near ground state into a Fock target state of the mechanical oscillator. We base our numerical optimization on realistic experimental parameters for exemplifying how optimal control enables the preparation of decidedly non-classical target states, where naive control schemes fail. Our results thus pave the way for applying the toolbox of optimal control in hybrid optomechanical systems for generating non-classical mechanical states.

quantum control


non-classical states

optimal control


Ville Bergholm

Technical University of Munich

Witlef Wieczorek

Chalmers, Microtechnology and Nanoscience (MC2), Quantum Technology

Chalmers, Microtechnology and Nanoscience (MC2)

Thomas Schulte-Herbrueggen

Technical University of Munich

Michael Keyl

Freie Universität Berlin


2058-9565 (ISSN)

Vol. 4 3 034001

Areas of Advance

Nanoscience and Nanotechnology (SO 2010-2017, EI 2018-)

Subject Categories

Control Engineering

Signal Processing

Other Electrical Engineering, Electronic Engineering, Information Engineering



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