Abstract. We consider a system of N phase oscillators having randomly distributed natural frequencies and diagonalizable interactions among the oscillators. We show that, in the limit of N → ∞, all solutions of such a system are incoherent with probability one for any strength of coupling, which implies that there is no sharp transition from incoherence to coherence as the coupling strength is ...

duffing harmonic oscillator is a common model for nonlinear phenomena in science and engineering. this paper presents he´s energy balance method (ebm) for solving nonlinear differential equations. two strong nonlinear cases have been studied analytically. analytical results of the ebm are compared with the solutions obtained by using he´s frequency amplitude formulation (faf) and numerical solu...

We have remeasured the lifetimes of the 3s24s and levels in Si II using beam foil spectro3s25s 2S1@2 scopic techniques. Measured values for the lifetimes and oscillator strengths derived from them are presented and compared with previous measurements and theoretical calculations. Agreement with recent theoretical calculations is now quite good : for 3s24s it is excellent and for 3s25s it is sat...

We consider a two-level system, which couples via non-commuting operators to two independent oscillator baths. When the coupling is symmetric, the renormalized hopping matrix element is nite even for in nitely strong coupling strength. The two-level system is in a delocalized phase. For nite coupling strength a localization transition occurs for a critical asymmetry angle, which separates the l...

It is well-known that the nonlinear coupling between a mechanical oscillator and a superconducting resonator or optical cavity can be used to generate a Kerrnonlinearity for the cavity mode. We show that the strength of this Kerr-nonlinearity, as well as the effect of the photon-pressure force can be enormously increased by modulating the strength of the nonlinear coupling. We describe an elect...

P. D. Rogers,1,* Y. J. Choi,2 E. C. Standard,1 T. D. Kang,1 K. H. Ahn,1 A. Dubroka,3 P. Marsik,3 Ch. Wang,3 C. Bernhard,3 S. Park,2,4 S.-W. Cheong,2 M. Kotelyanskii,1,5 and A. A. Sirenko1 1Department of Physics, New Jersey Institute of Technology, Newark, New Jersey 07102, USA 2Rutgers Center for Emergent Materials and Department of Physics and Astronomy, Rutgers University, Piscataway, New Jer...

We report on the observation of single-photon superradiance from an exciton in a semiconductor quantum dot. The confinement by the quantum dot is strong enough for it to mimic a two-level atom, yet sufficiently weak to ensure superradiance. The electrostatic interaction between the electron and the hole comprising the exciton gives rise to an anharmonic spectrum, which we exploit to prepare the...

Based on a reduced circadian oscillator model in Drosophila [Smolen, Biophys. J. 83, 2349 (2002)], the effects of light noise and time delay on a circadian oscillator near a Hopf bifurcation are studied by using numerical computation. When the light-controlled parameter is suprathreshold, it was found that the circadian oscillations can be induced by light fluctuation. There is an optimal light...

The transition strengths for the four infrared-active vibrations of charged C60 molecules are evaluated in self-consistent density functional theory using the local density approximation. The oscillator strengths for the second and fourth modes are strongly enhanced relative to the neutral C60 molecule, in good agreement with the experimental observation of “giant resonances” for those two mode...

Vibronic spectra of the Holstein model for molecular crystals are investigated using the dynamical mean field theory with the additional aid of the multi-mode Brownian oscillator model. The effects of temperature, intermolecular transfer integral, damping constant and quadratic coupling on the vibronic spectra are examined, and spectra in the presence of two phonon modes are studied in detail. ...