The photon shuttle: Landau-Zener-Stueckelberg dynamics in an optomechanical system

Abstract

The motion of micro- and nanomechanical resonators can be coupled to electromagnetic fields. Such optomechanical setups allow one to explore the interaction of light and matter in a new regime at the boundary between quantum and classical physics. We propose an approach to investigate non-equilibrium photon dynamics driven by mechanical motion in a recently developed setup with a membrane between two mirrors, where photons can be shuttled between the two halves of the cavity. For modest driving strength we predict the possibility to observe an Autler-Townes splitting indicative of Rabi dynamics. For large drive, we show that this system displays Landau-Zener-Stueckelberg dynamics originally known from atomic two-state systems.

4 pages, 4 figures

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• The effect of Landau-Zener dynamics on phonon lasing
• Criterion of quantum synchronization and controllable quantum synchronization based on an optomechanical system
• Optomechanical photon shuttling between photonic cavities
• Coupled multimode optomechanics in the microwave regime
• Symmetry-breaking oscillations in membrane optomechanics
• Quantum magneto-electrodynamics of electrons embedded in a photon cavity
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• Cavity optomechanics with arrays of thick dielectric membranes
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• Classical Stückelberg interferometry of a nanomechanical two-mode system at room temperature
• Enhanced optomechanical readout using optical coalescence
• Nonperturbative Approach to Circuit Quantum Electrodynamics
• Dicke-type phase transition in a multimode optomechanical system
• Instantaneous coherent destruction of tunneling and fast quantum state preparation for strongly pulsed spin qubits in diamond
• Adiabatic transfer of light in a double cavity and the optical Landau-Zener problem
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• Classical Dynamics of a Thin Moving Mirror Interacting with a Laser
• Squeezing of the mechanical motion and beating 3 dB limit using dispersive optomechanical interactions
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• How the electromagnetic field evolves in the presence of a mobile membrane
• Theory of bifurcation amplifiers utilizing the nonlinear dynamical response of an optically damped mechanical oscillator