Abstract
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.
Highlights
In view of quantum technologies, optimal control techniques provide an increasingly useful toolbox to take quantum hardware to the limits of reaching target states with high fidelity, precision, sensitivity and robustness—one prominent example being feedback stabilization of predefined photon-number states in a box [2, 3]
If the two-level system can be driven largely independently of the cavity, we show that the nonlinearity introduced enables us to steer the extended system to non-classical target states of the mechanical oscillator with Wigner functions exhibiting significant negative regions
Our paper is structured as follows: in section 2 we present the Hamiltonian of the hybrid optomechanical system and derive a drift and control part, in section 3 we discuss the controllability of our system from a general perspective, in section 4 we present the numerical algorithms our optimal control optimization is based on, in section 5 we use optimal control based on realistic experimental parameters to generate a single-phonon Fock state and in section 6, we discuss the results and give an outlook on future work
Summary
Ville Bergholm , Witlef Wieczorek2,4 , Thomas Schulte-Herbrüggen and Michael Keyl.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
