Optomechanical systems couple light stored inside an optical cavity to the motion of a mechanical mode. Recent experiments have demonstrated setups, such as photonic crystal structures, that in principle allow one to confine several optical and vibrational modes on a single chip. Here we start to investigate the collective nonlinear dynamics in arrays of coupled optomechanical cells. We show that such "optomechanical arrays" can display synchronization, and that they can be described by an effective Kuramoto-type model

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In cavity optomechanics, nanomechanical motion couples to a localized optical mode. The regime of single-photon strong coupling is reached when the optical shift induced by a single phonon becomes comparable to the cavity linewidth. We consider a setup in this regime comprising two optical modes and one mechanical mode. For mechanical frequencies nearly resonant to the optical level splitting, we find the photon-phonon and the photon-photon interactions to be significantly enhanced. In addition to dispersive phonon detection in a novel regime, this offers the prospect of optomechanical photon measurement. We study these quantum nondemolition detection processes using both analytical and numerical approaches.

We study the nonlinear driven dissipative quantum dynamics of an array of optomechanical systems. At each site of such an array, a localized mechanical mode interacts with a laser-driven cavity mode via radiation pressure, and both photons and phonons can hop between neighboring sites. The competition between coherent interaction and dissipation gives rise to a rich phase diagram characterizing the optical and mechanical many-body states. For weak intercellular coupling, the mechanical motion at different sites is incoherent due to the influence of quantum noise. When increasing the coupling strength, however, we observe a transition towards a regime of phase-coherent mechanical oscillations. We employ a Gutzwiller ansatz as well as semiclassical Langevin equations on finite lattices, and we propose a realistic experimental implementation in optomechanical crystals.

We have explored the nonlinear dynamics of an optomechanical system consisting of an illuminated Fabry-Perot cavity, one of whose end-mirrors is attached to a vibrating cantilever. Such a system can experience negative light-induced damping and enter a regime of self-induced oscillations. We present a systematic experimental and theoretical study of the ensuing attractor diagram describing the nonlinear dynamics, in an experimental setup where the oscillation amplitude becomes large, and the mirror motion is influenced by several optical modes. A theory has been developed that yields detailed quantitative agreement with experimental results. This includes the observation of a regime where two mechanical modes of the cantilever are excited simultaneously.

We consider a generic optomechanical system, consisting of a driven optical cavity and a movable mirror attached to a cantilever. Systems of this kind (and analogues) have been realized in many recent experiments. It is well known that those systems can exhibit an instability towards a regime where the cantilever settles into self-sustained oscillations. In this paper, we briefly review the classical theory of the optomechanical instability, and then discuss the features arising in the quantum regime. We solve numerically a full quantum master equation for the coupled system, and use it to analyze the photon number, the cantilever's mechanical energy, the phonon probability distribution and the mechanical Wigner density, as a function of experimentally accessible control parameters. We observe and discuss the quantum-to-classical transition as a function of a suitable dimensionless quantum parameter.

We propose and analyze a setup to achieve strong coupling between a single trapped atom and a mechanical oscillator. The interaction between the motion of the atom and the mechanical oscillator is mediated by a quantized light field in a laser driven high-finesse cavity. In particular, we show that high fidelity transfer of quantum states between the atom and the mechanical oscillator is in reach for existing or near future experimental parameters. Our setup provides the basic toolbox for coherent manipulation, preparation and measurement of microand nanomechanical oscillators via the tools of atomic physics.Recent experiments with micro-and nanomechanical oscillators coupled to the optical field in a cavity are approaching the regime where quantum effects dominate [1,2,3]. In light of this progress, the question arises to what extent the quantized motion of a mesoscopic mechanical system can be coherently coupled to a microscopic quantum object [4,5,6,7,8,9], the ultimate challenge being strong coupling to the motion of a single atom. For a direct mechanical coupling the interaction involves scale factors m/M ∼ 10 −7 − 10 −4 depending on the ratio of the mass of the atom m to the mass of the mechanical oscillator M [4]. It is therefore difficult to achieve a coherent coupling for exchange of a single vibrational quantum that is much larger than relevant dissipation rates.In this Letter we show, however, that strong coupling can be realized between a single trapped atom and an optomechanical oscillator. The coupling between the motion of a membrane [10] -representing the mechanical oscillatorand the atom is mediated by the quantized light field in a laser driven high-finesse cavity. Remarkably, in this setup a coherent coupling for single-atom and membrane exceeding the dissipative rates by a factor of ten is within reach for present or near future experimental parameters [11]. Entering the strong coupling regime provides a quantum interface allowing the coherent transfer of quantum states between the mechanical oscillator and atoms, opening the door to coherent manipulation, preparation and measurement of micromechanical objects via the well-developed tools of atomic physics.We propose and analyze a setup which combines the recent advances of micromechanics with membranes in optical cavities [10] and cavity QED with single trapped atoms [11] (see Fig. 1a). We consider a membrane placed in a laser driven high-finesse cavity representing the opto-mechanical system with radiation pressure coupling. In this setup the motion of the membrane manifests itself as a dynamic detuning of cavity modes. For a cavity mode driven by a detuned laser this translates into a variation of the intensity of the intracavity light field. In addition, we assume that this intracavity field provides an optical lattice as a trap for a single atom. Thus for the setup of Fig. 1a the motion of the membrane will be coupled via the dynamics of the optical trap to the motion of the atom, and vice versa. This coupling is strongly enhanced by the...

The high peak electric fields provided by single-cycle light pulses can be harnessed to manipulate and control charge motion in solid-state systems, resulting in electron emission out of metals and semiconductors [1][2][3][4][5][6] or high harmonics generation in dielectrics 7,8 . These processes are of a non-perturbative character and require precise reproducibility of the electric-field profile 9-14 . Here, we vary the carrier-envelope phase of 6-fs-long near-infrared pulses with pJ-level energy to control electronic transport in a laterally confined nanoantenna with an 8 nm gap. Peak current densities of 50 MA cm -2 are achieved, corresponding to the transfer of individual electrons in a half-cycle period of 2 fs. The observed behaviours are made possible by the strong distortion of the effective tunnelling barrier due to the extreme electric fields that the nanostructure provides and sustains under sub-cycle optical biasing. Operating at room temperature and in a standard atmosphere, the performed experiments demonstrate a robust class of nanoelectronic switches gated by phase-locked optical transients of minute energy content.Present-day high-frequency devices operate in the microwave range, but direct control of electron flow by the electric-field profile of few-cycle optical pulses has recently been demonstrated 12,15 . These experiments were based on strong perturbation of the electronic system in a dielectric material, resulting in a large incoherent background current. Nanoscale confinement of the region biased by the optical transient might avoid a significant influence of nonlinear conductivity in an insulating substrate and result in purely coherent tunnelling currents 16 that may be controlled by the precise shape of the electric field cycles. Our approach to reaching this goal is illustrated in the upper part of Fig. 1a. A single-cycle near-infrared pulse (left) is focused to a nanoscale junction of an electronic circuit (centre) with nonlinear and antisymmetric current-voltage (I-V) characteristics (right). An effective bias then arises when the exciting electric field is cosine-shaped (blue transient and blue dot in the I-V scheme) because its extremum occurs only for one polarity. Consequently, the symmetry of electronic transport is broken, even when integrating over the entire transient, and a net tunnelling current of electrons results through the potential barrier represented by the free-space gap (Fig. 1b,c). Our experiment favours tunnelling over other phenomena such as multiphoton ionization 4 by operating with ultrashort pulses and extreme nanoconfinement of the electric field. No background current exists when the control field is sineshaped (red transient and dot in the I-V characteristics, respectively), because positive and negative polarities now have precisely opposite effects. Consequently, the total current amplitude and direction may be set by varying the carrier-envelope phase (CEP), Δφ CEP , of the pulse. Owing to the single-cycle pulse duration, nanoscale constriction and fi...