A growing number of experimental setups in cavity optomechanics exploit periodically driven fields. However, such setups are not amenable to analysis by using simple, yet powerful, closed-form expressions of linearized optomechanics, which have provided so much of our present understanding of experimental optomechanics. In the present paper, we formulate a method to calculate quantum noise spec...

We show that amplitude-squeezed states may be produced by driving a feedback-controlled cavity with a coherent input signal. The feedback controls the transmissivity of one output from the cavity and is essentially equivalent to nonlinear absorption. The cavity electively acts as a nonlinear reflector. Hence, amplitude-squeezed states with arbitrarily strong coherent intensities can be obtained...

The three-dimensional shear-driven cavity flow is numerically investigated at Reynolds numbers of 5000 and 10,000. This investigation focuses on the unsteadiness and turbulent characteristics of the flow. At the moderate Reynods number (Re = 5000) where the cavity flow is fully laminar, a direct numerical simulation (DNS) is used; at the higher Reynolds number (Re = 1 0,000), large-eddy simulat...

[1] We present results from Lyon-Fedder-Mobarry (LFM) global, three-dimensional magnetohydrodynamic (MHD) simulations of the solar wind-magnetosphere interaction. We use these simulations to investigate the role that solar wind dynamic pressure fluctuations play in the generation of magnetospheric ultra-low frequency (ULF) pulsations. The simulations presented in this study are driven with idea...

ÐHighly-accurate solutions for the lid-driven cavity ̄ow are computed by a Chebyshev collocation method. Accuracy of the solution is achieved by using a substraction method of the leading terms of the asymptotic expansion of the solution of the Navier±Stokes equations in the vicinity of the corners, where the velocity is discontinuous. Critical comparison with former numerical experiments con®r...

A linear stability analysis of the buoyant-thermocapillary flow in open rectangular cavities with aspect ratios in the range Gamma=1.2 to 8 is carried out for Prandtl number Pr=10 and conditions of previous experiments. The results are in very good agreement with most available experimental data. The energy transfer between the basic and the perturbation flow reveals that buoyancy is not direct...

We investigate the near-critical dynamics of atomic density fluctuations in the nonequilibrium self-organization transition of an optically driven quantum gas coupled to a single mode of a cavity. In this system cavity-mediated long-range interactions between atoms, tunable by the drive strength, lead to softening of an excitation mode recently observed in experiments. This phenomenon has previ...

A minimal kinetic model is used to study analytically and numerically flows at a mi-crometer scale. Using the lid-driven microcavity as an illustrative example, the interplay between kinetics and hydrodynamics is quantitatively visualized. The validity of various theories of non-equilibrium thermodynamics of flowing systems is tested in this nontrivial microflow.

We consider how nonlinear interaction effects can manifest themselves and even be enhanced in a strongly driven optomechanical system. Using a Keldysh Green's function approach, we calculate modifications to the cavity density of states due to both linear and nonlinear optomechanical interactions, showing that strong modifications can arise even for a weak nonlinear interaction. We show how thi...

The flow in a rectangular cavity driven by the sinusoidal motion of the floor in its own plane has been studied both experimentally and computationally over a broad range of parameters. The stability limits of the time-periodic two-dimensional base state are of primary interest in the present study, as it is within these limits that the flow can be used as a viable surface viscometer (as outlin...