title: Quantum state engineering with circuit electromechanical three-body interactions.
abstract: We propose a hybrid system with quantum mechanical three-body interactions between photons, phonons, and qubit excitations. These interactions take place in a circuit quantum electrodynamical architecture with a superconducting microwave resonator coupled to a transmon qubit whose shunt capacitance is free to mechanically oscillate. We show that this system design features a three-mode polariton-mechanical mode and a nonlinear transmon-mechanical mode interaction in the strong coupling regime. Together with the strong resonator-transmon interaction, these properties provide intriguing opportunities for manipulations of this hybrid quantum system. We show, in particular, the feasibility of cooling the mechanical motion down to its ground state and preparing various nonclassical states including mechanical Fock and cat states and hybrid tripartite entangled states.
authors.affiliation: Physik Department, Technische Universität München, James-Franck-Straße, 85748 Garching, Germany.
authors.forename: Mehdi
authors.initials: M
authors.lastname: Abdi
authors.affiliation: Physik Department, Technische Universität München, James-Franck-Straße, 85748 Garching, Germany.|Walther-Meißner-Institut, Bayerische Akademie der Wissenschaften, Walther-Meißner-Straße 8, 85748 Garching, Germany.|Nanosystems Initiative Munich, Schellingstraße 4, 80799 München, Germany.
authors.forename: Matthias
authors.initials: M
authors.lastname: Pernpeintner
authors.affiliation: Physik Department, Technische Universität München, James-Franck-Straße, 85748 Garching, Germany.|Walther-Meißner-Institut, Bayerische Akademie der Wissenschaften, Walther-Meißner-Straße 8, 85748 Garching, Germany.|Nanosystems Initiative Munich, Schellingstraße 4, 80799 München, Germany.
authors.forename: Rudolf
authors.initials: R
authors.lastname: Gross
authors.affiliation: Walther-Meißner-Institut, Bayerische Akademie der Wissenschaften, Walther-Meißner-Straße 8, 85748 Garching, Germany.|Nanosystems Initiative Munich, Schellingstraße 4, 80799 München, Germany.
authors.forename: Hans
authors.initials: H
authors.lastname: Huebl
authors.affiliation: Institute of Photonics and Quantum Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom.
authors.forename: Michael J
authors.initials: MJ
authors.lastname: Hartmann